Question

1.The body temperatures in degrees Fahrenheit of a sample of adults in one small town are: 97.6 98.1 99.9 96.9 97.1 96.7 98.5 99 99.1 99.2 98.3 98 Assume body temperatures of adults are normally distributed. Based on this data, find the 99% confidence interval of the mean body temperature of adults in the town. Enter your answer as an open-interval (i.e., parentheses) accurate to 3 decimal places. Assume the data is from a normally distributed population. 99% C.I. =

2.

You are interested in finding a 98% confidence interval for the mean number of visits for physical therapy patients. The data below show the number of visits for 11 randomly selected physical therapy patients. Round answers to 3 decimal places where possible.

11

26

6

8

14

14

12

19

19

18

7

a. To compute the confidence interval use a ? z t  distribution.

b. With 98% confidence the population mean number of visits per physical therapy patient is between  and   visits.

c. If many groups of 11 randomly selected physical therapy patients are studied, then a different confidence interval would be produced from each group. About  percent of these confidence intervals will contain the true population mean number of visits per patient and about  percent will not contain the true population mean number of visits per patient.

3.

The mayor is interested in finding a 98% confidence interval for the mean number of pounds of trash per person per week that is generated in the city. The study included 245 residents whose mean number of pounds of trash generated per person per week was 32.3 pounds and the standard deviation was 6.9 pounds. Round answers to 3 decimal places where possible.

a. To compute the confidence interval use a ? t z  distribution.

b. With 98% confidence the population mean number of pounds per person per week is between  and   pounds.

c. If many groups of 245 randomly selected members are studied, then a different confidence interval would be produced from each group. About  percent of these confidence intervals will contain the true population mean number of pounds of trash generated per person per week and about  percent will not contain the true population mean number of pounds of trash generated per person per week.

Answer 1

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