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4. [-/14 Points] DETAILS ASWSBE14 8.E.014. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER You may need to use the appropriate appendix table or technology to answer this question. A simple random sample with n = 52 provided a sample mean of 26.5 and a sample standard deviation of 4.4. (Round your answers to one decimal place.) (a) Develop a 90% confidence interval for the population mean. to (b) Develop a 95% confidence interval for the population mean. to (c) Develop a 99% confidence interval for the population mean. to (d) What happens to the margin of error and the confidence interval as the confidence level is increased? O As the confidence level increases, there is a smaller margin of error and a more narrow confidence interval. O As the confidence level increases, there is a smaller margin of error and a wider confidence interval. As the confidence level increases, there is a larger margin of error and a more narrow confidence interval. O As the confidence level increases, there is a larger margin of error and a wider confidence interval.5. [-/8 Points] DETAILS ASWSBE14 8.E.026. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER You may need to use the appropriate appendix table or technology to answer this question. The U.S. Energy Information Administration (US EIA) reported that the average price for a gallon of regular gasoline is $2.94. The US EIA updates its estimates of average gas prices on a weekly basis. Assume the standard deviation is $0.25 for the price of a gallon of regular gasoline and recommend the appropriate sample size for the US EIA to use if they wish to report each of the following margins of error at 95% confidence. (Round your answers up to the nearest whole number.) (a) The desired margin of error is $0.10. (b) The desired margin of error is $0.06. (c) The desired margin of error is $0.05. Need Help? Read It Watch It