# Question

The following sample of six measurements was randomly selected from a normally distributed population: 1, 3, -1, 5, 1, 2.
a. Test the null hypothesis that the mean of the population is 3 against the alternative hypothesis, µ < 3. Use α = .05.
b. Test the null hypothesis that the mean of the population is 3 against the alternative hypothesis, µ ≠ 3. Use α = .05.
c. Find the observed significance level for each test.

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