Show all your work. Indicate clearly the methods you use, because you will be scored on the correctness of your methods as well as on the accuracy and completeness of your results and explanations.

A recent study reported that high school students spend an average of94

minutes per day texting. Jenna claims that the average for the students at her large high school is greater than94

minutes. She will conduct a study to investigate this claim.

(a) To collect data, Jenna will select a sample of size32

from the population.

(i) State Jenna's population of interest.

(ii) Name and describe a sampling method Jenna could use that will satisfy the conditions needed for inference to the population.

(b) Based on a sample of32

students, Jenna calculated a sample mean of96.5

minutes and a sample standard deviation of6.3

minutes. Assume all conditions for inference are met. At the significance level of=0.05

, do the data provide convincing statistical evidence to support Jenna's claim? Complete an appropriate inference procedure to support your answer.