An entertainment company is in the planning stages of producing a new computer-animated movie for national release,

Question:

An entertainment company is in the planning stages of producing a new computer-animated movie for national release, so they need to determine the production time (labor-hours necessary) to produce the movie. The mean production time for a random sample of 14 big-screen computer-animated movies is found to be 53,550 labor-hours. Suppose that the population standard deviation is known to be 7462 labor hours and the of production times is normal.
a. Construct a 98% confidence interval for the mean production time to produce a big-screen computer-animated movie.
b. Explain why we need to make the confidence interval. Why is it not correct to say that the average production time needed to produce all big-screen computer-animated movies is 53,550 labor-hours?
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