For a 1 Sample T test, when the sample size is 10, what type of distribution do we use to find the p-value?
Question
For a 1 Sample T test, when the sample size is 10, what type of distribution do we use to find the p-value?
Solution
For a 1 Sample T test, when the sample size is 10, we use the t-distribution to find the p-value. Here are the steps:
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First, calculate the sample mean (x̄) and the sample standard deviation (s).
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Then, calculate the test statistic (t) using the formula: t = (x̄ - μ) / (s/√n), where μ is the population mean, and n is the sample size.
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After calculating the test statistic, we then refer to the t-distribution table. Since our sample size is 10, we use 9 degrees of freedom (n-1) in the t-distribution table.
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Look up the calculated t-value in the t-distribution table under the appropriate degrees of freedom to find the p-value.
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The p-value is the probability that you would have found the current result if the null hypothesis were true. So, if the p-value is less than your significance level (usually 0.05), you reject the null hypothesis.
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