Researchers reported in a recent study that high school students spend an average of 94 minutes per day texting. Emily claims that the average for students at her large high school is greater than 94 minutes. She will conduct a study to investigate this claim. To collect data, Emily will select a sample of size 32 from the population.
1. State Emily’s population of interest.

2. Name and describe a sampling method that Emily could use that will satisfy the conditions needed for inference to the population.

3. Based on a sample of 32 students, Emily calculated a sample mean of 96.5 minutes and a sample standard deviation of 6.3 minutes. Assume all conditions for inference are met. At the significance level of , do the data provide convincing statistical evidence to support Emily’s claim? Complete an appropriate significance test to support your answer.

4. Create a 95% confidence interval for the mean number of minutes a high school student spends texting per day. Compare the results of your significance test in part (c) to your confidence interval.