Question 1:
New Horizons Airlines wants to forecast the mean number of unoccupied seats per flight to Germany next year.To develop this forecast,the records of 49 flights are randomly selected from the files for the past year,and the number of unoccupied seats is noted for each flight. The sample mean and standard deviation are 8.1 seats and 5.7seats,respectively. Develop a point and 95% interval estimate of the mean number of unoccupied seats per flight during the past year. Forecast the mean number of unoccupied seats per flight to Germany next year. Discuss the accuracy of this forecast. Draw a curve to support your explanation.
Question 2:
Over a period of years, a toothpaste has received a mean rating of 5.9, on a 7-pointscale,for overall customer satisfaction with the product. Because of a minor unadvertised change in the product,there is concern that the customer satisfaction may have changed.Suppose the satisfaction ratings from a sample of 60 customers have a mean of 5.60 and a standard deviation of .87.Do these data indicate that the mean satisfaction rating is different from 5.9? Test with α=.05 What is the p-value for the test? Draw a curve to support your explanation.
Question 3: The manager of a frozen yogurt store claims that a medium-size serving contains an average of more than 4 ounces of yogurt.From a random sample of 14 servings, she obtains a mean of 4.31 ounces and a standard deviation of .52 ounce.
Test,with, α=.05 the manager's claim.
Find the p-value for the test. Assume that the distribution of weight per serving is normal.
Draw a curve to support your explanation.