The manager of a large company is interested in the commute…

The manager of a large company is interested in the commute times of her employees. She randomly selects 32 employees and finds an average commute time of 25 minutes, with a standard deviation of 5 minutes. (When needed, round to 3 decimals.)   a. What is the point estimate of the population mean commute time? b. Construct a 90% confidence interval for the population mean commute time for this company’s employees (input your interval as “(a, b)”, where a is the lower limit and b is the upper limit of the interval) c. Interpret the interval from part a (write out a sentence and be specific): We are 90% confident that

A local news station is interested in the proportion of loca…

A local news station is interested in the proportion of local residents that regularly get their news source from them rather than on the internet. A researcher randomly selects 170 residents, and found that 45 use the local news station for their news source. (Round to 3 decimal places.)   a. Calculate a 99% confidence interval for the proportion of all local residents that use the local news station for their news source (input your interval as “(a, b)”, where a is the lower limit and b is the upper limit of the interval)  b. Interpret the interval from part a (write out a sentence and be specific): We are 95% confident that c. How many local residents need to be sampled in order to estimate the proportion to within 2% with 99% confidence?

Suppose 73% of Americans watch at least 28 hours of TV each…

Suppose 73% of Americans watch at least 28 hours of TV each week. A random sample of 20 Americans was selected. (Round to 3 decimal places.)   a. Find the probability that exactly 18 of those sampled watch at least 28 hours of TV each week. b. Find the probability that more than 17 of those sampled watch at least 28 hours of TV each week. c. Find the expected number of Americans that watch at least 28 hours of TV each week.