For questions 1,2,3 & 5 use the Z values. For question 4(body temperature for part A, use the "t" distributions and for part B use (Chi-square).

1) How many people does Geoff need to randomly survey across Massachusetts to determine if he will win the Massachusetts Primary for Governor in 2022? He wants to be 98% certain of the results of the poll with a margin of error of no more than 2%.

a) Find N if there is no preliminary survey of the amount of people who favor Geoff for Governor.

b) His aid Mildred claims a preliminary survey showed 62% of the voters like him. Find N with this new information.

2) In a study of 1100 randomly selected medical malpractice lawsuits, it was found that 732 of them were dropped or dismissed. Construct a 90% confidence interval for the proportion of medical malpractice lawsuits that are dropped or dismissed.

3) Assume that all grade point averages are to be standardized on a scale between 0 and 4. How many grade-point averages must be obtained so that the sample mean is within .02 of the population mean? Assume a 99% confidence interval and a standard deviation of 1.

4) A sample of 10 body temperatures has a mean of 98.2 and a sample standard deviation of 0.62.

a) Construct a 95% confidence interval of the mean body temperature for the entire population.

b) Construct a 95% confidence interval for the variance and standard deviation of the population.

5) 39 packages are randomly selected from packages received by a parcel service. The sample mean weight is 15.3 pounds and previous examples have given the population standard deviation as 1.9 pounds. Construct a 99% confidence interval for the true mean weight of all packages received by the parcel service.