Question: a market researcher for a consumer electronics company wants to...

A market researcher for a consumer electronics company wants to study the television viewing habits of residents of a particular area. A random sample of 40 respondents is selected, and each respondent is instructed to keep a detailed record of all television viewing in a particular week. The results are as follows:

• Viewing time per week: Xbar = 15.3 hours, S = 3.8 hours.

• 27 respondents watch the evening news on at least three weeknights.

1. Construct a 95% confidence interval estimate for the mean amount of television watched per week in this area.
   
2. What sample size is required to be 95% confident of estimating the population mean viewing time to within ±2 hours assuming that the population standard deviation is equal to five hours?