Question

Consider three scenes:

a. Amy read a report on how many apples the average person eats per month. Therefore, she wants to test to see whether or not UCI students eat more than an average amount. The report states that the mean is 11.5 apples per month, but it doesn’t state the standard deviation. It also states that most people either eat about 20-25 apples per month, or else they eat 0-5 apples per month. Almost no one eats 5-20 apples per month. She takes a sample of four UCI students and calculates their average number of apples eaten per month.

b. Mickey wants to test if students in his class did better than average on the SAT. SAT scores have a known mean of 500 and standard deviation of 100. They are normally distributed. He has a sample of six students.

c. Zoe is testing to see if people who watch many movies per year know more film history than the average person. She asks them one question. She asks if they know who starred in the film “Citizen Kane”. Typically, four out of ten people know the answer, so she wants to know if more than four out of ten movie-goers will know the answer. She has a sample of 100 people.

What test should each of them use to analyze her data?

d. Donna is testing to see if going to the beach to study for a test affects test score. Her data consists of 200 people who went to the beach and 250 people who didn’t go to the beach.

1. a one-sample t-test for means

2. an independent sample t-test

3. a one-sample z test for means

4. a repeated (related) measure t-test

5. a one sample z-test for proportions

6. none of the above

Answer 1