1)You measure 28 backpacks' weights, and find they have a mean weight of 50 ounces. Assume the population standard deviation is 7.2 ounces. Based on this, construct a 99% confidence interval for the true population mean backpack weight. Give your answers as decimals, to two places `+-` ounces 2)Assume that a sample is used to estimate a population mean . Find the margin of error M.E. that corresponds to a sample of size 15 with a mean of 46.6 and a standard deviation of 10.3 at a confidence level of 99%. Report ME accurate to one decimal place because the sample statistics are presented with this accuracy. M.E. = Answer should be obtained without any preliminary rounding. However, the critical value may be rounded to 3 decimal places.

3)The effectiveness of a blood-pressure drug is being investigated. An experimenter finds that, on average, the reduction in systolic blood pressure is 48.3 for a sample of size 863 and standard deviation 9.8. Estimate how much the drug will lower a typical patient's systolic blood pressure (using a 98% confidence level). Enter your answer as a tri-linear inequality accurate to one decimal place (because the sample statistics are reported accurate to one decimal place). < <

4)You must estimate the mean temperature (in degrees Fahrenheit) with the following sample temperatures:

39.4

46

39.1

63.2

48.2

43.8

52.3

Find the 95% confidence interval. Enter your answer as an open-interval (i.e., parentheses) accurate to two decimal places (because the sample data are reported accurate to one decimal place). 95% C.I. = Answer should be obtained without any preliminary rounding.

5)SAT scores are distributed with a mean of 1,500 and a standard deviation of 300. You are interested in estimating the average SAT score of first year students at your college. If you would like to limit the margin of error of your 95% confidence interval to 25 points, how many students should you sample?

Make sure to give a whole number answer.