Question

Zoe is testing to see if UCI students are more stressed out than the normal
person is. The mean stress level of the average person is 50 with a known
standard deviation of 10. Amy is going a two-tailed test with α = .10. The null
hypothesis is μ = 50. What precisely is μ the mean of?

The average UCI student commutes 6.3 miles to school, with a known standard
deviation of five miles. Amy believes that social science majors are different from
the average UCI student. She gets a sample of six social science majors and
asks them how far they commute. They answer 4, 13, 11, 7, 15, 10. Do a z-test
to see if Amy’s belief is true. Please calculate the z-statistic for this data.

Now, for the above question, state the critical value, and come to a conclusion
about Amy’s belief. Let α = .01. Make it a two-tailed test.

What is the p-value for the experiment in questions 13 and 14? Answer to
four digits past the decimal point, such as .3264.

Answer 1