1))) A cheese processing company wants to estimate the mean cholesterol content of all one-ounce servings of a type of cheese. The estimate must be within 0.77 milligram of the population mean. (a) Determine the minimum sample size required to construct a 95% confidence interval for the population mean. Assume the population standard deviation is 3.10 milligrams. (b) The sample mean is 29 milligrams. Using the minimum sample size with a 95% level of confidence, does it seem likely that the population mean could be within 3% of the sample mean? within 0.3% of the sample mean? Explain. Q2))) You are given the sample mean and the population standard deviation. Use this information to construct the 90% and 95% confidence intervals for the population mean. Interpret the results and compare the widths of the confidence intervals. From a random sample of 75 dates, the mean record high daily temperature in a certain city has a mean of 84.96F. Assume the population standard deviation is 15.03F. Q3))) In a random sample of 27 people, the mean commute time to work was 32.9 minutes and the standard deviation was 7.3 minutes. Assume the population is normally distributed and use a t-distribution to construct a 90% confidence interval for the population mean u. What is the margin of error of u? Interpret the results. Q4))) In a random sample of eleven people, the mean driving distance to work was 20.5 miles and the standard deviation was 6.5 miles. Assume the population is normally distributed and use the t-distribution to find the margin of error and construct a 99% confidence interval for the population mean u. Interpret the results. Q5))) In a random sample of eight cell phones, the mean full retail price was $566.00 and the standard deviation was $161.00. Assume the population is normally distributed and use the t-distribution to find the margin of error and construct a 90% confidence interval for the population mean H. Interpret the results