Q: A market researcher for a consumer electronics company wishes to study the television viewing habits of residents of a particular small city. A random sample of 38 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: x = 15.3 hours, s = 3.8 hours.

27 respondents watch the evening news on at least 3 weeknights.

(a) Set up a 95% confidence interval for the average amount of television watched per week in this city.

(b) Set up a 95% confidence interval for the proportion of respondents who watch the evening news on at least 3 nights per week.