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TABLE of CRITICAL VALUES for STUDENT\'S t DISTRIBUTIONS
Column headings denote probabilities () above tabulated values.
d.f.
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inf0.40
0.325
0.289
0.277
0.271
0.267
0.265
0.263
0.262
0.261
0.260
0.260
0.259
0.259
0.258
0.258
0.258
0.257
0.257
0.257
0.257
0.257
0.256
0.256
0.256
0.256
0.256
0.256
0.256
0.256
0.256
0.256
0.255
0.255
0.255
0.255
0.255...
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How to fill out table of critical values
How to fill out a table of critical values:
01
Identify the significance level or alpha value for your hypothesis test. This is typically denoted by α and represents the probability of making a Type I error.
02
Determine the degree of freedom for your hypothesis test. This is based on the sample size or the number of categories being compared.
03
Locate the corresponding critical value in the table. The critical value is the value beyond which you reject the null hypothesis and accept the alternative hypothesis.
04
If the test is one-tailed, look for the critical value in the appropriate column (either on the left or right side of the distribution). If the test is two-tailed, divide the significance level by 2 and locate the corresponding critical value in each tail of the distribution.
05
Once you find the critical value, record it in the table along with the corresponding degrees of freedom and significance level.
Who needs a table of critical values:
01
Researchers and statisticians: A table of critical values is an essential tool for researchers and statisticians who need to conduct hypothesis tests. It helps in determining the rejection region and making decisions based on the collected data.
02
Students and educators: Students studying statistics or researchers teaching statistical analysis often use the critical value table to understand and perform hypothesis testing correctly.
03
Quality control professionals: In industries where quality control is vital, such as manufacturing or healthcare, critical values are used to assess whether a process or system is operating within acceptable limits. Critical value tables aid in making informed decisions about process improvements or changes needed.
04
Financial analysts: Financial analysts use critical values to test hypotheses about asset returns, market behavior, or other financial indicators. These values assist in analyzing and making decisions based on statistical data in the field of finance.
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What is table of critical values?
The table of critical values is a document that lists important values used for statistical hypothesis testing.
Who is required to file table of critical values?
Laboratories and research facilities that handle sensitive or critical data are typically required to file table of critical values.
How to fill out table of critical values?
The table of critical values is usually filled out by entering the necessary data points and corresponding critical values based on statistical calculations.
What is the purpose of table of critical values?
The purpose of the table of critical values is to provide a reference for determining the significance of statistical tests and making informed decisions based on data.
What information must be reported on table of critical values?
The table of critical values must include the data points, corresponding critical values, and any relevant statistical calculations or assumptions.
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