1)You measure 22 turtles' weights, and find they have a mean weight of 49 ounces. Assume the population standard deviation is 3.7 ounces. Based on this, construct a 99% confidence interval for the true population mean turtle 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 errorM.E. that corresponds to a sample of size 20 with a mean of 51.6 and a standard deviation of 11.4 at a confidence level of 90%.

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 42.9 for a sample of size 682 and standard deviation 12.9.

Estimate how much the drug will lower a typical patient's systolic blood pressure (using a 95% 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).

<

<

Answer should be obtained without any preliminary rounding.

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

89.1

77.4

72.2

95

78.9

54.8

85.9

82.7

Find the 99% confidence interval. Enter your answer as anopen-interval (i.e., parentheses) accurate to two decimal places (because the sample data are reported accurate to one decimal place).

99% 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.