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- 1. Multiple Choice
For a class project, a student in a statistics class surveys the monthly rent for 32 unfurnished one-bedroom apartments in Boston and finds the mean monthly rent to be $1400 with a standard deviation of $220.
Find the margin of error for the sample mean. (assuming 95% confidence) Round to the nearest hundredth
$77.78
$4.31
$188.78
$494.97
- 2. Multiple Choice
For a class project, a student in a statistics class surveys the monthly rent for 32 unfurnished one-bedroom apartments in Boston and finds the mean monthly rent to be $1400 with a standard deviation of $220.
Find the 95% confidence interval for the population mean Round to the nearest hundredth
[1322.22, 1477.78]
[1395.69, 1404.31]
[1211.22, 1588.78]
[905.03, 1894.97]
- 3. Multiple Choice
A random sample of 45 life insurance policy holders showed that the average premiums paid on their life insurance policies was $340 per year with a standard deviation of $62. Construct a 95% confidence interval for the population mean. Round to the nearest hundredth
[321.52, 358.48]
[238.63, 441.37]
[253.64, 426.36]
[328.57, 351.43]
- 4. Multiple Choice
A survey was conducted where 150 high school students were asked the average amount of time they spent doing household chores in one week. The data collected resulted in a mean time of 180.5 minutes with a standard deviation of 5.5 minutes. Which of these represents a 95% confidence interval for the mean weekly hours spent doing household chores of all high school students?
[171.5, 189.5]
[175, 186]
[178.3, 182.8]
[179.6, 181.4]
- 5. Multiple Choice
A sample of 121 high school seniors were surveyed on their level of school spirit on a scale of 0-100. The sample mean of this survey is 86. The known population standard deviation is 14 for all seniors in the class. Which of these is a 95% confidence interval for the population mean?
[82.7, 89.3]
[83.5, 88.5]
[83.9, 88.1]
[85.9, 86.1]
- 6. Multiple Choice
A sample of n students were asked for the average amount of money they spend in a day. The data resulted in a mean of $5.50 with a standard deviation of $2.45. If the margin of error was $0.31, how many students were in the sample? Round to the nearest whole student
250
16
100
500
- 7. Multiple Choice
A researcher wishes to estimate, within $25, the true mean amount of postage a community college spends each year. The standard deviation is known to be $80. If she wishes to be 95% confident in her estimate of the true mean amount of postage, how large a sample is necessary? Round to the nearest whole number
41
25
80
200
- 8. Multiple Choice
Suppose a department store wants to estimate within 2 years the true mean age of the customers in its contemporary apparel department. The department store manager assumes a standard deviation of 7.5 years. How large a sample is required to estimate the true mean age with 95% confidence?
Round to the nearest whole number
56
112
420
224
- 9. Multiple Choice
Researchers want to estimate with 95% confidence the true mean pulse rate of American adult males who jog at least 15 miles per week. They survey 21 males and find the sample mean pulse rate to be 52.6 beats per minute and a standard deviation of 3.22 beats per minute. Find the margin of error for the mean pulse rate of all American adult males who jog at least 15 miles per week. Round to the nearest tenth.
1.4 beats per minute
1.7 beats per minute
0.9 beats per minute
4.1 beats per minute
- 10. Multiple Choice
Researchers want to estimate with 95% confidence the true mean pulse rate of American adult males who jog at least 15 miles per week. They survey 21 males and find the sample mean pulse rate to be 52.6 beats per minute and a standard deviation of 3.22 beats per minute. Suppose the researchers want to estimate the mean within 1 beat per minute. How large must the sample size be? Round to the nearest whole number.
41
21
53
36
- 11. Multiple Choice
The operations manager of a large production plant wants to estimate the mean amount of time a worker takes to assemble a new electric component. Assume the standard deviation of the assembly time is 3.6 minutes. After observing 120 workers, the manager found their mean assembly time to be 16.2 minutes. Construct a 95% confidence interval for the estimate of the mean assembly time. Round to the nearest hundredth.
[15.54, 16.86]
[13.24, 19.16]
[14.41, 17.99]
[10.94, 21.46]
- 12. Multiple Choice
The operations manager of a large production plant wants to estimate the mean amount of time a worker takes to assemble a new electric component. Assume the standard deviation of the assembly time is 3.6 minutes. How many workers should be observed if the manager wants to estimate the mean assembly time within 0.25 minutes? Round to the nearest whole number.
829
29
415
58
- 13. Multiple Choice
Complete the following statement about the change in size.
If you increase the size of your sample, the ME will . . . .
increase
decrease
stay the same
- 14. Multiple Choice
Complete the following statement about the change in size.
If your sample has a larger mean, the ME will . . . .
increase
decrease
stay the same
- 15. Multiple Choice
Complete the following statement about the change in size.
If your sample has a larger standard deviation, the ME will . . . .
increase
decrease
stay the same
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