11) Researchers for Paramount Pictures want to know if the mean income from the release of "Top Gun: Maverick" was more than 1 million dollars per theatre during the Memorial Day weekend release. They randomly selected 10 movie theatres and recorded their income for "Maverick" in the table below, and they also assumed that the population of theatre income is normally distributed. The income amounts are measured in millions of dollars.

1.12

1.15

0.85

1.55

2.20

1.25

0.90

1.30

1.85

1.20

Using the data and a 5% significance level, test the researchers' claim that the population mean income from the release of "Top Gun: Maverick" is more than 1 million dollars per theatre. Round all answers to 3 decimal places.

a. (4 points) State the null and alternative hypotheses.

b. (4 points) Find the sample mean (), sample standard deviation () and sample size ().

c. (4 points) Find the value of for this test, and also find the related -value, using 9 for the degrees of freedom.

d. (4 points) Based on your -value, state your conclusion about the null hypothesis and how you reached that conclusion.

e. (4 points) What conclusion can the researcher's make in regard to their claim?