3. (8 Marks) A customer wants to estimate the average delivery time of a pizza from the local pizza parlor. Over the cou

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3 8 Marks A Customer Wants To Estimate The Average Delivery Time Of A Pizza From The Local Pizza Parlor Over The Cou 1 (142.37 KiB) Viewed 33 times

3. (8 Marks) A customer wants to estimate the average delivery time of a pizza from the local pizza parlor. Over the course of a few months, the customer orders 25 pizzas and records the delivery times. The average delivery time is 22.06 with a standard deviation of 9.442. a) Construct a 87% confidence interval for the population mean. (3 points) b) Interpret the confidence interval found in part (a). (2 points) c) Determine the sample size needed in order to be 87% confident that u is within 0.6 of the point estimate. Assume o = 10.20. (3 points) 4. (10 Marks - 5 points each) A random sample of 19 women is taken and their heights were recorded. The heights (in inches) are: 54, 62, 63, 63, 63, 65, 66, 66, 66, 67, 67, 68, 68, 68, 69, 70, 71, 71, 74 Assume that women's height are normally distributed. Let p be the proportion of all women that are taller than 65 inches. a) Test the hypothesis Ho: p = 0.5 against Hj: p > 0.5. Find the p-value and report your conclusion. b) Test the hypothesis Ho: u = 65 against Hj: u > 65. State your conclusion.