 LESSON 14 STUDENT t DISTRIBUTION Chi-Square Distribution Table 0 c 2 The shaded area is equal to ﬁ for ´2 = ´2 ﬁ. df ´2:995 ´ 2:990 ´ 2:975 ´ 2:950 ´ 2:900 ´ 2:100 ´ 2:050 ´ 2:025 ´ 2:010 ´ 2:005 1 0.000 0.000 …

## How to Use the t-Table to Solve Statistics Problems dummies

t-distribution University of Regina. t-distribution Conﬂdence Level 60% 70% 80% 85% 90% 95% 98% 99% 99.8% 99.9% Level of Signiﬂcance 2 Tailed 0.40 0.30 0.20 0.15 0.10 0.05 0.02 0.01 0.002 0.001, This table below is a compilation of data from the Student t distribution. Anytime that a t-distribution is being used, a table such as this one can be consulted to perform calculations.This distribution is similar to the standard normal distribution, or bell curve, however the table is arranged differently than the table for the bell curve.The table below provides critical t-values for a.

Apr 22, 2016 · It's been a while since I've used Excel for hard core statistics, but I'll give it a shot. By "critical value", I assume you mean the critical values for either a t-test or a z-text. Excel has several formulas related to t-tests, but the formulas The t‐distribution is used as an alternative to the normal distribution when sample sizes are small in order to estimate confidence or determine critical values that an observation is a given distance from the mean. It is a consequence of the sample standard deviation being a biased or underestimate (usually) of the population standard deviation.

This table contains critical values of the Student's t distribution computed using the cumulative distribution function. The t distribution is symmetric so that t 1-α,ν = -t α,ν. The t table can be used for both one-sided (lower and upper) and two-sided tests using the appropriate value of α. The significance level, α, is demonstrated in 203 rows · T distribution critical values table online. The critical values of 't' distribution are …

The body contains the t values. Note that for on-tail distribution the values are for a and for two-tailed distribution values are for a/2. Let’s say n = 3, the df= 3-1 = 2. If significance level a is 0.10 then a/2 = 0.05. From the table we can observe that t-value = 2.920. Column headings denote probabilities (α) above tabulated values. TABLE of CRITICAL VALUES for STUDENT'S t DISTRIBUTIONS. Title: Student's t Distribution.xls Author: …

The t-table (for the t-distribution) is different from the Z-table (for the Z-distribution); make sure you understand the values in the first and last rows. Finding probabilities for various t-distributions, using the t-table, is a valuable statistics skill. Use the t-table as necessary to solve the following problems. View Homework Help - t-distribution(1) biostatistics.pdf from BIO 2900 at University Of Detroit Mercy. Critical values of the Student-t distribution Area of upper tail: degrees of

t-distribution Conﬂdence Level 60% 70% 80% 85% 90% 95% 98% 99% 99.8% 99.9% Level of Signiﬂcance 2 Tailed 0.40 0.30 0.20 0.15 0.10 0.05 0.02 0.01 0.002 0.001 This table contains critical values of the Student's t distribution computed using the cumulative distribution function. The t distribution is symmetric so that t 1-α,ν = -t α,ν. The t table can be used for both one-sided (lower and upper) and two-sided tests using the appropriate value of α. The significance level, α, is demonstrated in

The t-table (for the t-distribution) is different from the Z-table (for the Z-distribution); make sure you understand the values in the first and last rows. Finding probabilities for various t-distributions, using the t-table, is a valuable statistics skill. Use the t-table as necessary to solve the following problems. The body contains the t values. Note that for on-tail distribution the values are for a and for two-tailed distribution values are for a/2. Let’s say n = 3, the df= 3-1 = 2. If significance level a is 0.10 then a/2 = 0.05. From the table we can observe that t-value = 2.920.

A T Table represents the critical values of the t distribution curve. This curve is similar to a normal distribution curve but it tells about the number of observations that may vary from the mean value. T-statistic is useful when the sample size is smaller and the standard deviation is unknown. Apr 22, 2016 · It's been a while since I've used Excel for hard core statistics, but I'll give it a shot. By "critical value", I assume you mean the critical values for either a t-test or a z-text. Excel has several formulas related to t-tests, but the formulas

1 1 Outline • Student t distribution • Table • Excel • Example LESSON 14: STUDENT t DISTRIBUTION 2 • If the population variance, σ is not known, we cannot compute the z-statistic as • However, we may compute a similar statistic, the t-statistic, that uses the sample standard deviation s in place of the population standard deviation σ: In statistics, you can use t-tests to measure statistical difference between two groups. This table gives you the critical values needed to achieve...

The table entries are the critical values (percentiles) for the distribution. The column headed DF (degrees of freedom) gives the degrees of freedom for the values in that row. The columns are labeled by ``Percent''. ``One-sided'' and ``Two-sided''. Percent is distribution function - the table entry is the corresponding percentile. One-sided is This table below is a compilation of data from the Student t distribution. Anytime that a t-distribution is being used, a table such as this one can be consulted to perform calculations.This distribution is similar to the standard normal distribution, or bell curve, however the table is arranged differently than the table for the bell curve.The table below provides critical t-values for a

Appendix A A3 Right Tail Probability t TABLE B t Distribution Critical Values Confidence Level 80% 90% 95% 98% 99% 99.8% Right-Tail Probability df 1 3.078 6.314 12.706 31.821 63.656 318.289 t-distribution Conﬂdence Level 60% 70% 80% 85% 90% 95% 98% 99% 99.8% 99.9% Level of Signiﬂcance 2 Tailed 0.40 0.30 0.20 0.15 0.10 0.05 0.02 0.01 0.002 0.001

T-10 Tables Appendix Table V Critical Values for the t Distribution This table contains critical values associated with the t distribution, t a, deﬁ ned by the degrees of freedom and a. a df 0.20 0.10 0.05 0.025 0.01 0.005 0.001 0.0005 0.0001 This students's t-table for two tailed t-test is also available in pdf format too, users may download this table in pdf format to refer it later offline. In two tailed t-tests, the critical value of t from t-distribution table represents the rejection area of distribution in both left & right side of the mean.

Values of the t-distribution (two-tailed). The following is the plot of the t probability density function for 4 different values of the shape parameter. These plots all have a similar shape. The difference is in the heaviness of the tails. In fact, the t distribution with ν equal to 1 is a Cauchy distribution. The t distribution approaches a normal distribution as ν becomes large., This students's t-table for one tailed t-test is also available in pdf format too, users may download this table in pdf format to refer it later offline. In one tailed t-tests, the critical value of t from t-distribution table represents the rejection area of distribution either left or right of the mean..

### The tвЂђdistribution and its relationship to the normal Student's t-distribution Wikipedia. Tables T-11 Probability p t* Table entry for p and C is the critical value t* with probability p lying to its right and probability C lying between 2t* and t*. Upper-tail probability p TABLE D t Distribution Critical Values. Title: tables.pdf Author: ntomuro Created Date:, Binomial Distribution Table; F Table; PPMC Critical Values; T-Distribution Table (One Tail and Two-Tails) Chi Squared Table (Right Tail) Z-table (Right of Curve or Left) Probability and Statistics. Binomials; Chi-Square Statistic; Expected Value; Hypothesis Testing; Non Normal Distribution; Normal Distributions; Probability; Regression Analysis.

T-Distribution Table (One Tail and Two-Tails) Statistics. Appendix A A3 Right Tail Probability t TABLE B t Distribution Critical Values Confidence Level 80% 90% 95% 98% 99% 99.8% Right-Tail Probability df 1 3.078 6.314 12.706 31.821 63.656 318.289, This table below is a compilation of data from the Student t distribution. Anytime that a t-distribution is being used, a table such as this one can be consulted to perform calculations.This distribution is similar to the standard normal distribution, or bell curve, however the table is arranged differently than the table for the bell curve.The table below provides critical t-values for a.

### Upper critical values of Student's t distribution with t-distribution(1) biostatistics.pdf Critical values of. In statistics, you can use t-tests to measure statistical difference between two groups. This table gives you the critical values needed to achieve... Binomial Distribution Table; F Table; PPMC Critical Values; T-Distribution Table (One Tail and Two-Tails) Chi Squared Table (Right Tail) Z-table (Right of Curve or Left) Probability and Statistics. Binomials; Chi-Square Statistic; Expected Value; Hypothesis Testing; Non Normal Distribution; Normal Distributions; Probability; Regression Analysis. Chi-Square Distribution Table 0 c 2 The shaded area is equal to ﬁ for ´2 = ´2 ﬁ. df ´2:995 ´ 2:990 ´ 2:975 ´ 2:950 ´ 2:900 ´ 2:100 ´ 2:050 ´ 2:025 ´ 2:010 ´ 2:005 1 0.000 0.000 … The following is the plot of the t probability density function for 4 different values of the shape parameter. These plots all have a similar shape. The difference is in the heaviness of the tails. In fact, the t distribution with ν equal to 1 is a Cauchy distribution. The t distribution approaches a normal distribution as ν becomes large.

t Table. The table values are critical values of the t distribution. The column header probabilities are the t distribution probabilities to the left of the critical value. For example, t(19, 0.95) = 1.729. In statistics, you can use t-tests to measure statistical difference between two groups. This table gives you the critical values needed to achieve...

Dec 20, 2015 · 🔴 Deep Sleep Music 24/7, Sleep Therapy, Relax, Insomnia, Meditation, Calm Music, Spa, Study, Sleep Yellow Brick Cinema - Relaxing Music 5,806 watching Live now t Table. The table values are critical values of the t distribution. The column header probabilities are the t distribution probabilities to the left of the critical value. For example, t(19, 0.95) = 1.729.

T-10 Tables Appendix Table V Critical Values for the t Distribution This table contains critical values associated with the t distribution, t a, deﬁ ned by the degrees of freedom and a. a df 0.20 0.10 0.05 0.025 0.01 0.005 0.001 0.0005 0.0001 Jul 31, 2012 · Critical value t distribution/t table/ t statistic/ t test. Statistics made easy ! ! ! Learn about the t-test, the chi square test, the p value and more - Duration: 12:50. Global Health with Greg

The t-table (for the t-distribution) is different from the Z-table (for the Z-distribution); make sure you understand the values in the first and last rows. Finding probabilities for various t-distributions, using the t-table, is a valuable statistics skill. Use the t-table as necessary to solve the following problems. Example. The mean of a sample is 128.5, SEM 6.2, sample size 32. What is the 99% confidence interval of the mean? Degrees of freedom (DF) is n−1 = 31, t-value in column for area 0.99 is 2.744.

Appendix A A3 Right Tail Probability t TABLE B t Distribution Critical Values Confidence Level 80% 90% 95% 98% 99% 99.8% Right-Tail Probability df 1 3.078 6.314 12.706 31.821 63.656 318.289 The probability density function is symmetric, The discrete Student's t-distribution is defined by its probability mass function at r being proportional to: The following table lists values for t-distributions with ν degrees of freedom for a range of one-sided or two-sided critical regions.

A T Table represents the critical values of the t distribution curve. This curve is similar to a normal distribution curve but it tells about the number of observations that may vary from the mean value. T-statistic is useful when the sample size is smaller and the standard deviation is unknown. T-12 • Tables Table entry for p is the critical value F∗ with probability p lying to its right. F* Probability p TABLE E F critical values Degrees of freedom in the numerator p 123456789.100 39.86 49.50 53.59 55.83 57.24 58.20 58.91 59.44 59.86

View Homework Help - t-distribution(1) biostatistics.pdf from BIO 2900 at University Of Detroit Mercy. Critical values of the Student-t distribution Area of upper tail: degrees of In statistics, you can use t-tests to measure statistical difference between two groups. This table gives you the critical values needed to achieve...

Jul 31, 2012 · Critical value t distribution/t table/ t statistic/ t test. Statistics made easy ! ! ! Learn about the t-test, the chi square test, the p value and more - Duration: 12:50. Global Health with Greg Apr 22, 2016 · It's been a while since I've used Excel for hard core statistics, but I'll give it a shot. By "critical value", I assume you mean the critical values for either a t-test or a z-text. Excel has several formulas related to t-tests, but the formulas

and Rohlf (1995), and Steel and Torrie (1980), among many others. If the null reference distribution is slightly more complex, however, such as a t-distribution or a 2-distribution, most standard textbooks give only upper- critical points rather than actual P-values. With the advent of modern statistical computing power, this is not a and Rohlf (1995), and Steel and Torrie (1980), among many others. If the null reference distribution is slightly more complex, however, such as a t-distribution or a 2-distribution, most standard textbooks give only upper- critical points rather than actual P-values. With the advent of modern statistical computing power, this is not a

Upper critical values of Student's t distribution with degrees of freedom Probability of exceeding the critical value 0.10 0.05 0.025 0.01 0.005 0.001 The t‐distribution is used as an alternative to the normal distribution when sample sizes are small in order to estimate confidence or determine critical values that an observation is a given distance from the mean. It is a consequence of the sample standard deviation being a biased or underestimate (usually) of the population standard deviation.

## t Distribution Critical Values DePaul University Values of the t-distribution (two-tailed). Apr 22, 2016 · It's been a while since I've used Excel for hard core statistics, but I'll give it a shot. By "critical value", I assume you mean the critical values for either a t-test or a z-text. Excel has several formulas related to t-tests, but the formulas, Chi-Square Distribution Table 0 c 2 The shaded area is equal to ﬁ for ´2 = ´2 ﬁ. df ´2:995 ´ 2:990 ´ 2:975 ´ 2:950 ´ 2:900 ´ 2:100 ´ 2:050 ´ 2:025 ´ 2:010 ´ 2:005 1 0.000 0.000 ….

### How read critical values from t distribution (t table

Table V Critical Values for the Distribution. The probability density function is symmetric, The discrete Student's t-distribution is defined by its probability mass function at r being proportional to: The following table lists values for t-distributions with ν degrees of freedom for a range of one-sided or two-sided critical regions., The t‐distribution is used as an alternative to the normal distribution when sample sizes are small in order to estimate confidence or determine critical values that an observation is a given distance from the mean. It is a consequence of the sample standard deviation being a biased or underestimate (usually) of the population standard deviation..

Jul 31, 2012 · Critical value t distribution/t table/ t statistic/ t test. Statistics made easy ! ! ! Learn about the t-test, the chi square test, the p value and more - Duration: 12:50. Global Health with Greg The following is the plot of the t probability density function for 4 different values of the shape parameter. These plots all have a similar shape. The difference is in the heaviness of the tails. In fact, the t distribution with ν equal to 1 is a Cauchy distribution. The t distribution approaches a normal distribution as ν becomes large.

Dec 20, 2015 · 🔴 Deep Sleep Music 24/7, Sleep Therapy, Relax, Insomnia, Meditation, Calm Music, Spa, Study, Sleep Yellow Brick Cinema - Relaxing Music 5,806 watching Live now View Homework Help - t-distribution(1) biostatistics.pdf from BIO 2900 at University Of Detroit Mercy. Critical values of the Student-t distribution Area of upper tail: degrees of

F distribution critical value landmarks Critical values computed with Excel 9.0 Table entries are critical values for F* with probably p in right tail of the distribution. Figure of F distribution (like in Moore, 2004, p. 656) here. Degrees of freedom in denominator (df2) Apr 22, 2016 · It's been a while since I've used Excel for hard core statistics, but I'll give it a shot. By "critical value", I assume you mean the critical values for either a t-test or a z-text. Excel has several formulas related to t-tests, but the formulas

Dec 20, 2015 · 🔴 Deep Sleep Music 24/7, Sleep Therapy, Relax, Insomnia, Meditation, Calm Music, Spa, Study, Sleep Yellow Brick Cinema - Relaxing Music 5,806 watching Live now The table entries are the critical values (percentiles) for the distribution. The column headed DF (degrees of freedom) gives the degrees of freedom for the values in that row. The columns are labeled by ``Percent''. ``One-sided'' and ``Two-sided''. Percent is distribution function - the table entry is the corresponding percentile. One-sided is

This table contains critical values of the Student's t distribution computed using the cumulative distribution function. The t distribution is symmetric so that t 1-α,ν = -t α,ν. The t table can be used for both one-sided (lower and upper) and two-sided tests using the appropriate value of α. The significance level, α, is demonstrated in T-scores corresponding to selected right-tailed probabilities of the tdf-distribution [Note that, for any fixed df, t-scores > z-scores. As df → ∞,

The probability density function is symmetric, The discrete Student's t-distribution is defined by its probability mass function at r being proportional to: The following table lists values for t-distributions with ν degrees of freedom for a range of one-sided or two-sided critical regions. Critical Values of the t Distribution df 2-tailed testing 1-tailed testing α = .1 α = .05 α = .01 α = .1 α = .05 α = .01 5 2.015 2.571 4.032 1.476 2.015 3.365

Apr 22, 2016 · It's been a while since I've used Excel for hard core statistics, but I'll give it a shot. By "critical value", I assume you mean the critical values for either a t-test or a z-text. Excel has several formulas related to t-tests, but the formulas This students's t-table for one tailed t-test is also available in pdf format too, users may download this table in pdf format to refer it later offline. In one tailed t-tests, the critical value of t from t-distribution table represents the rejection area of distribution either left or right of the mean.

Critical Values of the t Distribution df 2-tailed testing 1-tailed testing α = .1 α = .05 α = .01 α = .1 α = .05 α = .01 5 2.015 2.571 4.032 1.476 2.015 3.365 The body contains the t values. Note that for on-tail distribution the values are for a and for two-tailed distribution values are for a/2. Let’s say n = 3, the df= 3-1 = 2. If significance level a is 0.10 then a/2 = 0.05. From the table we can observe that t-value = 2.920.

This table below is a compilation of data from the Student t distribution. Anytime that a t-distribution is being used, a table such as this one can be consulted to perform calculations.This distribution is similar to the standard normal distribution, or bell curve, however the table is arranged differently than the table for the bell curve.The table below provides critical t-values for a and Rohlf (1995), and Steel and Torrie (1980), among many others. If the null reference distribution is slightly more complex, however, such as a t-distribution or a 2-distribution, most standard textbooks give only upper- critical points rather than actual P-values. With the advent of modern statistical computing power, this is not a

This students's t-table for two tailed t-test is also available in pdf format too, users may download this table in pdf format to refer it later offline. In two tailed t-tests, the critical value of t from t-distribution table represents the rejection area of distribution in both left & right side of the mean. T-scores corresponding to selected right-tailed probabilities of the tdf-distribution [Note that, for any fixed df, t-scores > z-scores. As df → ∞,

### T Score T Table t Table t Distribution Table. This students's t-table for two tailed t-test is also available in pdf format too, users may download this table in pdf format to refer it later offline. In two tailed t-tests, the critical value of t from t-distribution table represents the rejection area of distribution in both left & right side of the mean., Upper critical values of Student's t distribution with degrees of freedom Probability of exceeding the critical value 0.10 0.05 0.025 0.01 0.005 0.001.

### t Distribution Critical Values DePaul University Critical Values of the Dunnett Test. Critical Values of the Dunnett Test 1 n α Number of Groups, Including Control Group 2 3 4 5 6 7 8 9 10 5 .05 2.57 3.03 3.29 3.48 3.62 3.73 3.82 3.90 3.97 Chi-Square Distribution Table 0 c 2 The shaded area is equal to ﬁ for ´2 = ´2 ﬁ. df ´2:995 ´ 2:990 ´ 2:975 ´ 2:950 ´ 2:900 ´ 2:100 ´ 2:050 ´ 2:025 ´ 2:010 ´ 2:005 1 0.000 0.000 …. T-10 Tables Appendix Table V Critical Values for the t Distribution This table contains critical values associated with the t distribution, t a, deﬁ ned by the degrees of freedom and a. a df 0.20 0.10 0.05 0.025 0.01 0.005 0.001 0.0005 0.0001 Critical Values of the t Distribution df 2-tailed testing 1-tailed testing α = .1 α = .05 α = .01 α = .1 α = .05 α = .01 5 2.015 2.571 4.032 1.476 2.015 3.365

Appendix A A3 Right Tail Probability t TABLE B t Distribution Critical Values Confidence Level 80% 90% 95% 98% 99% 99.8% Right-Tail Probability df 1 3.078 6.314 12.706 31.821 63.656 318.289 A T Table represents the critical values of the t distribution curve. This curve is similar to a normal distribution curve but it tells about the number of observations that may vary from the mean value. T-statistic is useful when the sample size is smaller and the standard deviation is unknown.

Dec 20, 2015 · 🔴 Deep Sleep Music 24/7, Sleep Therapy, Relax, Insomnia, Meditation, Calm Music, Spa, Study, Sleep Yellow Brick Cinema - Relaxing Music 5,806 watching Live now Critical Values of the Dunnett Test 1 n α Number of Groups, Including Control Group 2 3 4 5 6 7 8 9 10 5 .05 2.57 3.03 3.29 3.48 3.62 3.73 3.82 3.90 3.97

The t‐distribution is used as an alternative to the normal distribution when sample sizes are small in order to estimate confidence or determine critical values that an observation is a given distance from the mean. It is a consequence of the sample standard deviation being a biased or underestimate (usually) of the population standard deviation. t-distribution Conﬂdence Level 60% 70% 80% 85% 90% 95% 98% 99% 99.8% 99.9% Level of Signiﬂcance 2 Tailed 0.40 0.30 0.20 0.15 0.10 0.05 0.02 0.01 0.002 0.001

Binomial Distribution Table; F Table; PPMC Critical Values; T-Distribution Table (One Tail and Two-Tails) Chi Squared Table (Right Tail) Z-table (Right of Curve or Left) Probability and Statistics. Binomials; Chi-Square Statistic; Expected Value; Hypothesis Testing; Non Normal Distribution; Normal Distributions; Probability; Regression Analysis Tables T-11 Probability p t* Table entry for p and C is the critical value t* with probability p lying to its right and probability C lying between 2t* and t*. Upper-tail probability p TABLE D t Distribution Critical Values. Title: tables.pdf Author: ntomuro Created Date:

Critical Values of the Dunnett Test 1 n α Number of Groups, Including Control Group 2 3 4 5 6 7 8 9 10 5 .05 2.57 3.03 3.29 3.48 3.62 3.73 3.82 3.90 3.97 Critical Values of the t Distribution df 2-tailed testing 1-tailed testing α = .1 α = .05 α = .01 α = .1 α = .05 α = .01 5 2.015 2.571 4.032 1.476 2.015 3.365

T-12 • Tables Table entry for p is the critical value F∗ with probability p lying to its right. F* Probability p TABLE E F critical values Degrees of freedom in the numerator p 123456789.100 39.86 49.50 53.59 55.83 57.24 58.20 58.91 59.44 59.86 The probability density function is symmetric, The discrete Student's t-distribution is defined by its probability mass function at r being proportional to: The following table lists values for t-distributions with ν degrees of freedom for a range of one-sided or two-sided critical regions.

Column headings denote probabilities (α) above tabulated values. TABLE of CRITICAL VALUES for STUDENT'S t DISTRIBUTIONS. Title: Student's t Distribution.xls Author: … T-12 • Tables Table entry for p is the critical value F∗ with probability p lying to its right. F* Probability p TABLE E F critical values Degrees of freedom in the numerator p 123456789.100 39.86 49.50 53.59 55.83 57.24 58.20 58.91 59.44 59.86

The probability density function is symmetric, The discrete Student's t-distribution is defined by its probability mass function at r being proportional to: The following table lists values for t-distributions with ν degrees of freedom for a range of one-sided or two-sided critical regions. The table entries are the critical values (percentiles) for the distribution. The column headed DF (degrees of freedom) gives the degrees of freedom for the values in that row. The columns are labeled by ``Percent''. ``One-sided'' and ``Two-sided''. Percent is distribution function - the table entry is the corresponding percentile. One-sided is

Critical Values of the Dunnett Test 1 n α Number of Groups, Including Control Group 2 3 4 5 6 7 8 9 10 5 .05 2.57 3.03 3.29 3.48 3.62 3.73 3.82 3.90 3.97 Binomial Distribution Table; F Table; PPMC Critical Values; T-Distribution Table (One Tail and Two-Tails) Chi Squared Table (Right Tail) Z-table (Right of Curve or Left) Probability and Statistics. Binomials; Chi-Square Statistic; Expected Value; Hypothesis Testing; Non Normal Distribution; Normal Distributions; Probability; Regression Analysis

The following is the plot of the t probability density function for 4 different values of the shape parameter. These plots all have a similar shape. The difference is in the heaviness of the tails. In fact, the t distribution with ν equal to 1 is a Cauchy distribution. The t distribution approaches a normal distribution as ν becomes large. 203 rows · T distribution critical values table online. The critical values of 't' distribution are …

09/03/2016 · Performing fsck on non-root filesystem is fairly straight forward. But, for root filesytem, you cannot perform fsck when it is mounted. This quick tutorial explains how to force filesytem check for a root filesystem. Root Filesystem. In this example, /dev/sda1 partition is the root … The root filesystem on requires a manual fsck Vesta /dev/sda6: UNEXPECTED INCONSISTENCY; RUN fsck MANUALLY. (i.e., without -a or -p options) fsck exited with status code 4 The root filesystem on /dev/sda6 requires a manual fsck Busybox v1.22.1 (Ubuntu 1:1.22.0-15ubuntu1) built in shell (ash) Enter 'help' for a list of built-in commands. (initramfs) _ How can I fix this?