MATH 225N Week 6 Confidence Intervals Questions and answers

Week 6 Confidence Intervals Questions and answers

1.      On a busy Sunday morning, a waitress randomly sampled customers about their preference for morning beverages, Specifically, she wanted to find out how many people preferred coffee over tea. The proportion of customers that preferred coffee was 0.42 with a margin of error 0.07.

Construct a confidence interval for the proportion of customers that preferred coffee.

2.  A company sells juice in 1quart bottles. In a quality control test, the company found the mean volume of juice in a random sample of bottles was X = 31 ounces, with a marginal error of 3 ounces.

Construct a confidence interval for the mean number of ounces of juice bottled by this company.

3. Randomly selected employees at an office were asked to take part in a survey about overtime. The office manager wanted to find out how many employees worked overtime in the last week. The proportion of employees that worked overtime was 0.83, with a margin of error of 0.11.