In: Statistics and Probability
1. 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 (in labor-hours) necessary to produce the movie. The mean production time for a random sample of big-screen computer animated movies is x ¯ =53,550 labor-hours. Suppose we also know that for all big-screen animated movies there is a population standard deviation of σ =7,462.
a) What is the 90% confidence interval if the sample size is n=40 movies?
b) What is the 95% confidence interval if the sample size is n=40 movies?
c) What is the 95% confidence interval if the sample size is n=100 movies?
d) What is the 80% confidence interval if the sample size is n=100 movies? (Hint: You will need to use the normal table or Statcrunch to find the -z and z values that correspond to the middle 80% of the normal distribution.)