Customers arrive at a movie theater at the advertised movie time only to find that they haveto sit through several previews and prepreview ads before the movie starts. Many complainthat the time devoted to previews is too long (the Wall Street Journal, October 12, 2012).A preliminary sample conducted by the Wall Street Journal showed that the standarddeviation of the amount of time devoted to previews was 4 minutes. Use that as a planningvalue for the standard deviation in answering the following questions.a. If we want to estimate the population mean time for previews at movie theaters with amargin of error of 75 seconds, what sample size should be used? Assume 95% confidence.b. If we want to estimate the population mean time for previews at movie theaters with amargin of error of 1 minute, what sample size should be used? Assume 95% confidence

I will send the rest of question in a bit because of your guidelines

A survey among freshmen at a certain university revealed that the number of hours spent studying the week before final exams was normally distributed with mean 25 and standard deviation 9.  Between what two values are the middle 80% of the hours spent studying?

Consider data Y1, Y2, . . . , Yn iid∼ Ber(p). Answer parts a and b of the following question. a.) Suppose you observe data y10 = (1, 0, 0, 0, 1, 0, 1, 0, 1, 1). Find the MLE of the fisher information, I(p). Hint: use invariance principle for MLE. b.) Suppose now you run a larger experiment and you observe fifteen 1s in a sample n = 30. Find the MLE of the fisher information, I(p)

A nutritionist wants to determine how much time nationally people spend eating and drinking. Suppose a random sample of 1077 people with mean amount of time spent eating and drinking per day is 1.09 hours with standard deviation of 0.52 hours, 95 percent confident rate

Kendra, the Human Resources manager for Moore Manufacturing wants to determine whether the employee retention rate is higher for the company's Eastern Division than it is for the Western Division. A random sample of 25 employees from Moore Manufacturing's Eastern Division (group 1) has an average time with the company of 4.8 years and a standard deviation of 1.1 years. A random sample of 23 employees from Moore Manufacturing's Western Division (group 2) has an average time with the company of 4.1 years and a standard deviation of 0.9 years. Conduct a hypothesis test at 0.02 significance. Round answers to 4 decimal places where appropriate. The Null and Alternative Hypothesis are: Ho: mew1 = mew2 and H1: mew1 > mew2.  The appropriate distribution is Student's t. What is the test statistic? What is the p-value? State the appropriate conclusion based on the information.

a Leche League International reports that the mean age of weaning a child from breastfeeding is age four to five worldwide. In America, most nursing mothers wean their children much earlier. Suppose a random survey is conducted of 21 U.S. mothers who recently weaned their children. The mean weaning age was 9 months (3/4 year) with a standard deviation of 2 months. Conduct a hypothesis test to determine if the mean weaning age in the U.S. is less than four years old. Conduct a hypothesis test at the 5% level. a. What is the p-value? (Round your answer to four decimal places.) b. What is the test statistic

According to data from the U.S. Army the average foot length of women as normally distributed with a mean of 9.6 inches and a standard deviation of 0.5 inches.   Find P95 (that is the top 5% of women’s foot length)