A recent study showed that middle school students look at social media an average of 94 minutes per day. Tina claims that the average for the students at her school is greater than 94 minutes. She will conduct a study to investigate this claim. (a) To collect data, Tina will select a sample of size 32 from the population.(i) State Tina’s population of interest.(ii) Name and describe a sampling method Tina could use that will satisfy the conditions needed for inference to the population. (b) Based on a sample of 32 students, Tina 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 α=0.05, do the data provide convincing statistical evidence to support Tina’s claim? Complete an appropriate inference procedure to support your answer.
A recent study showed that middle school students look at social media an average of 94 minutes per day. Tina claims that the average for the students at her school is greater than 94 minutes. She will conduct a study to investigate this claim.
(a) To collect data, Tina will select a sample of size 32 from the population.
(i) State Tina’s population of interest.
(ii) Name and describe a sampling method Tina could use that will satisfy the conditions needed for inference to the population.
(b) Based on a sample of 32 students, Tina 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 α=0.05, do the data provide convincing statistical evidence to support Tina’s claim? Complete an appropriate inference procedure to support your answer.
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