Question: A sample of five measurements, randomly selected from a normally distributed population, resulted in the following summary statistics: x = 4.8, s = 1.3. a.

A sample of five measurements, randomly selected from a normally distributed population, resulted in the following summary statistics: x̅ = 4.8, s = 1.3.

a. Test the null hypothesis that the mean of the population is 6 against the alternative hypothesis, μ < 6. Use α = .05.

b. Test the null hypothesis that the mean of the population is 6 against the alternative hypothesis, μ ≠ 6. Use α = .05.

c. Find the observed significance level for each test.

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