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

The average college student commutes 6.3 miles to school, with a
known standard deviation of five miles. John believes that social
science majors are different from the average college student. He
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 John’s belief is true. Please calculate the z-statistic for this
data.
Now, for the above question, state the critical value,...

Do all the following problems.
I. Choose the best answer for each
multiple choice. Please use CAPITAL letters to indicate your answer
and write neatly. (30 points)
1. ____ 4.____ 7. ____ 10.____ 13.
____
2. ____ 5.____ 8. ____ 11.____ 14.
____
3. ____ 6.____ 9. ____ 12.____ 15.
____
Whenever the population standard deviation is unknown and the
population has a normal or near-normal distribution, which
distribution is used in developing an interval estimation?
A. standard distribution
B....

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