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QUESTION 23 How would a 90% t-interval compare to a 90% z-interval? The t-interval would be narrower than the z-interval. The middle of the t-interval is greater than the middle of the z-interval. Both intervals are identical. The t-interval would be wider than the z-interval. QUESTION 24 A car insurance company wanted information about the age of its customers. From a sample of 104 randomly selected customers the mean is 47.7 years and a standard deviation is 12.8 years. Find the upper confidence limit (UCL) of the 98% confidence interval for the population mean age. Round your answer to three decinal places. QUESTION 25 A researcher wants to calculate a 95% confidence interval for the unknown true proportion of defective resistors off an assembly line. He takes a random sample of 254 resistors, and finds that 39 of them are defective. Find the margin of error to construct the 95% confidence interval? Round your answer to four decimal places. QUESTION 26 Employees in a company experience distractions (phone calls, emails, unscheduled visits "etc".) during their office hours. Given that the distraction times are right skewed with a mean of 95 minutes and a standard deviation of 18 minutes. What is the probability that for a random sample of 9 employees their mean distraction time is more than 105 minutes? 0.2893 0 0.7257 Not enough information. 0.9522 QUESTION 27 The rates of return on 7 natural resources mutual funds are given below: 15.73 16.07 15.85 17.77 15.47 14.57 16.74 Suppose that the rates are approximately normal. (a) Compute the mean and the standard deviation rate of return of natural resources mutual funds. Round your answer to three decimal places. (b) Calculate the lower confidence limite and the upper confidence limite of the 99% confidence interval for u, the mean rate of return of natural resources mutual funds. Round your answer to three decimal places. QUESTION 28 A car insurance company wanted information about the age of its customers. A researcher computed 90%, 95%, 97%, and 99% confidence intervals for the population mean age of the customers. Which of the following intervals is the the 95% confidence interval for the population mean age? (36.30, 39.70) (36.70, 39.30) (36.56, 39.44) (36.91, 39.09) QUESTION 29 The price of iPhone 13 pro max is recorded at a random sample of 40 electronics stores in UAE. The resulting 90% confidence interval for the mean price of iPhone 13 pro max was (3190 Dhs, 4211 Dhs). Find the margin of error (E) of the 90% confidence interval. Round your answer to one decimal place. QUESTION 30 An insurance company proposes two health insurance plans for the employees of a company. Plan A is the basic plan and covers only the medication expenses in case of hospitalization, whereas Plan B reimburses all medical expenses of the employees. As a human ressources manager, you are required to estimate how many employees will opt for Plan B. The manager randomly asks 97 emplyees and 25 of them prefer Plan B. Find the lower confidence limite (LCL) of the 98% confidence interval estimate for the population proportion of employees who will prefer Plan B. Round your answer to three decimal places