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Step 1:I'll assume you're referring to a hypothesis test where you're testing a null hypothesis and looking for the critical value (t*) at the 0.05 significance level.
I'll outline the steps to find the t* value using the t-distribution table.
Step 2:: Identify the degrees of freedom (df)
where $n$ is the sample size.
In a t-test, the degrees of freedom are given by: You should know the sample size from your problem statement.
Step 3:: Find the t-distribution table
You can find the t-distribution table in any statistics textbook or online. The table has two variables: degrees of freedom (df) and the significance level (alpha).
Step 4:: Find the row with the given df
Locate the row in the table that corresponds to the df you calculated in Step 1.
Step 5:: Find the column with the desired significance level
Identify the column with the 0.05 significance level (alpha/ 2 = 0.025 for a two-tailed test). Note that for a one-tailed test, you would use either the 0.05 or 0.00 column, depending on whether you're testing the upper or lower tail.
Step 6:: Read the t* value
At the intersection of the df row and the 0.05 column, you will find the critical t-value (t*). This value is used to test your hypothesis.
Final Answer
would be:
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