According to data released last month by the Organization for Economic Cooperation and Development (OECD) in 2018, the French spend more time eating their meals than anybody else. Perform a hypothesis test to determine if a difference exists between the average time an American spends eating lunch when compared to a person from France. The following data represents the time, in minutes, that random French and American diners spent at lunch. Assume that the population variance are equal. Set a = 0.10. American 21 17 17 20 25 16 20 16 French 24 18 20 28 18 19 17

a. What is the correct hypothesis statement for this hypothesis test? (the null or H should be stated so that it reflects the statement you are trying to prove as false (aka the opposite of what the statement is testing)

b. Finding the critical value. i. Note level of significance... What tailed test is this?

ii. What is the critical value?

iii. Which distribution table did you use and why?

c. What is the standard error of the difference between two means for this hypothesis? value

d. Calculate the test statistic for this hypothesis.

e. What is the p-value for the hypothesis? Is the p-value or a larger? Interpret

f. Graph in your rejection region and plot your test statistic and critical value:

g. State the conclusion for this hypothesis test

h. At a 90% level of confidence, what is the confidence interval for the difference in population means