Question

A) 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.

B) 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.

C) 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