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You are conducting a t-test to assess the null hypothesis H0: μ = 50 against the...

You are conducting a t-test to assess the null hypothesis H0: μ = 50 against the two-sided alternative. You collect a random sample of n=25 observations. The sample has a mean of 55 and a standard deviation of 10. How many degrees of freedom does the test have? Assume the underlying distribution is normal.

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Answer #1

Solution:

We know that the formula for degrees of freedom (df) is given as below:

df = n – 1

Where n is the sample size.

For the given test, we have

Sample size = n = 25

Degrees of freedom = n – 1 = 24

Answer: 24

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