Show transcribed image text 1.) You are given the sample mean and the sample standarddeviation. Use this informationto construct the 90% and 95% confidence intervals for the population mean.Interpret the results and comparethe widths ofthe confidence intervals. If convenient, use technology to construct the confidence intervals A random sample of home theater systems has a mean price of $115.00 and a standard deviation is Construct a 90% confidence interval for the population mean, The 90% confidence intervalis 2) Find the minimum sample size n needed to estimate uforthe given values of c, s,andE. C 0.98. s 7,4, and Assume that a preliminary sample has atleast30 members. Oguare given the sample mean andthe sample standard deviation Use this information to construct the 90% and 95% confidence intervalsforthe population mean Whichinterval is wider? If convenient, usetechnology to construct the confidence intervals. Arandom sample of 46 eight-ounce servings ofdifferentjuice drinkshas a mean of97.6calories and a standard deviationof42.7 calories. The 90% confidence intervalis 4.) People were poled onhow many books theyread the previous year. How many subjects are needed to estimate the number of booksreadthe previous yearwithin one book with96% confidence?initial survey results indicate that a 16.2 books. A 95% confidence level requires. books 5.) A doctor wants to estimate the HDL cholesterol of all 20 to 29-year-oldfemales. Howmany subjects are needed to estimatetheHDL cholesterol within 3points with 99% confidence assuming a 13.8? Suppose the doctor would be content with90% confidence. Howdoesthe decrease in confidence affect the sample size required? A99% confidence level requires subjects,