5. [12 Points] DETAILS MENDSTATC4 8.E.018. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER An increase in the rate of consumer savings is frequently tied to a lack of condence in the economy and is said to be an indicator of a recessionai tendency in the economy. A random sampling of n : 200 savings accounts in a local community showed a mean increase in savings account values of 7.9% over the past 12 months, with a standard deviation of 5.5%. Estimate the mean percent increase in savings account values over the past 12 months for depositors in the community. Find the 95% margin of error (in %) for your estimate. (Round your answer to three decimal places) You may need to use the appropriate appendix table or technology to answer this question. Find a 90% confidence interval for a population mean / for these values. (Round your answers to three decimal places.) (a) n = 110, x = 0.88, $2 = 0.088 to (b) n = 50, x = 20.3, 52 = 3.42 to (c) Interpret the intervals found in part (a) and part (b). O In repeated sampling, 10% of all intervals constructed in this manner will enclose the population proportion. O There is a 10% chance that an individual sample proportion will fall within the interval. O There is a 90% chance that an individual sample proportion will fall within the interval. O 90% of all values will fall within the interval. O In repeated sampling, 90% of all intervals constructed in this manner will enclose the population mean. You may need to use the appropriate appendix table or technology to answer this question.7. [13 Points] DETAILS MENDSTATC4 8.E.029. MY NOTES ASK YOUR TEACHER [ A random sample ofn : 300 observations from a binomial population produced x : 275 successes. Find a 90% condence interval for 0. (Round your answers to three decimal places.) :I to S Interpret the interval. 0 There is a 10% chance that an individual sample proportion will fall within the interval. 0 90% otail values will fall within the interval. 0 In repeated sampling, 10% of all intervals constructed in this manner will enclose the population proportion. O In repeated sampling, 90% of all intervals constructed in this manner will enclose the population proportion. Q There is a 90% chance that an individual sample proportion will fall within the interval. You may need to use the appropriate appendix table or technology to answer this question. A random sample of 17 measurements is selected from a population with unknown mean it and Known standard deviation 6 = 9. Calculate the width of a 95% confidence interval for u for these values of n. (Round your answers to two decimal places.) (a) 17:81 You may need to use the appropriate appendix table or technology to answer this