1. The effectiveness of a blood-pressure drug is beinginvestigated. An experimenter finds that, on average, the reductionin systolic blood pressure is 44 for a sample of size 22 andstandard deviation 6. Estimate how much the drug will lower atypical patient's systolic blood pressure (using a 95% confidencelevel).
Give your answers to one decimal place and provide the pointestimate with its margin of error. __________________ ±________________________
2. In a survey, 31 people were asked how much they spent ontheir child's last birthday gift. The results were roughlybell-shaped with a mean of $42 and standard deviation of $10.Estimate how much a typical parent would spend on their child'sbirthday gift (use a 95% confidence level).
Give your answers to one decimal place. Provide the point estimateand margin or error. _______________ ± _________________
3. You must estimate the mean temperature (in degreesFahrenheit) with the following sample temperatures:
13.8 |
65.2 |
51.2 |
22.5 |
41.7 |
13.8 |
58.4 |
39.4 |
32.2 |
31.1 |
Find the 80% confidence interval. Enter your answer as anopen-interval (i.e., parentheses)accurate to two decimal places (because the sample data arereported accurate to one decimal place). 80% C.I. =___________________
Answer should be obtained without any preliminary rounding.
4. The effectiveness of a blood-pressure drug is beinginvestigated. An experimenter finds that, on average, the reductionin systolic blood pressure is 38.9 for a sample of size 339 andstandard deviation 13.4. Estimate how much the drug will lower atypical patient's systolic blood pressure (using a 80% confidencelevel).
Enter your answer as a tri-linear inequality accurate to onedecimal place (because the sample statistics are reported accurateto one decimal place).
_________< μ < __________
5. Assume that a sample is used to estimate a population meanμμ. Find the margin of error M.E. that corresponds to asample of size 7 with a mean of 52.6 and a standard deviation of14.3 at a confidence level of 99.9%. Report ME accurate to onedecimal place because the sample statistics are presented with thisaccuracy.
M.E. = ________________ Â Â Answer should beobtained without any preliminary rounding. However, the criticalvalue may be rounded to 3 decimal places.
6. Express the confidence interval (337.6,540.6)(337.6,540.6) inthe form of ¯x ± ME.
¯x ± ME= ___________ + ______________
7. Assume that a sample is used to estimate a population meanμμ. Find the 95% confidence interval for a sample of size 66 with amean of 27.9 and a standard deviation of 20.8. Enter your answer asan open-interval (i.e., parentheses)accurate to one decimal place (because the sample statistics arereported accurate to one decimal place).
95% C.I. = _____________
Answer should be obtained without any preliminary rounding.However, the critical value may be rounded to 3 decimal places.
8. Assume that a sample is used to estimate a populationproportion μμ. Find the margin of error M.E. thatcorresponds to a sample of size 411 with a mean of 20.9 and astandard deviation of 20.6 at a confidence level of 90%.
Report ME accurate to one decimal place because the samplestatistics 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.
9. In a survey, 16 people were asked how much they spent ontheir child's last birthday gift. The results were roughlybell-shaped with a mean of $38 and standard deviation of $7.Estimate how much a typical parent would spend on their child'sbirthday gift (use a 95% confidence level).
Give your answers to one decimal place. Provide the point estimateand margin or error. _____________ ± _______________
10. Assume that a sample is used to estimate a population meanμμ. Find the 90% confidence interval for a sample of size 56 with amean of 59.2 and a standard deviation of 13.2. Enter your answer asan open-interval (i.e., parentheses)accurate to one decimal place (because the sample statistics arereported accurate to one decimal place).
90% C.I. = _________________
Answer should be obtained without any preliminary rounding.However, the critical value may be rounded to 3 decimal places.
11. Assume that a sample is used to estimate a population meanμμ. Find the margin of error M.E. that corresponds to asample of size 21 with a mean of 58.7 and a standard deviation of17.9 at a confidence level of 80%.
Report ME accurate to one decimal place because the samplestatistics 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.
12. Express the confidence interval (174.8,273.6) in the form of¯x ± ME.
¯x ± ME=_________________
13. Assume that a sample is used to estimate a populationproportion μμ. Find the margin of error M.E. thatcorresponds to a sample of size 45 with a mean of 15.3 and astandard deviation of 6.6 at a confidence level of 99%.
Report ME accurate to one decimal place because the samplestatistics 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.
14. You must estimate the mean temperature (in degreesFahrenheit) with the following sample temperatures:
32.1 |
30.7 |
9 |
22.2 |
42.7 |
-5.8 |
20.5 |
20.8 |
52.4 |
28.6 |
9.2 |
Find the 90% confidence interval. Enter your answer as anopen-interval (i.e., parentheses)accurate to two decimal places (because the sample data arereported accurate to one decimal place).
90% C.I. = _________________
15. The effectiveness of a blood-pressure drug is beinginvestigated. An experimenter finds that, on average, the reductionin systolic blood pressure is 30.9 for a sample of size 889 andstandard deviation 11.3. Estimate how much the drug will lower atypical patient's systolic blood pressure (using a 95% confidencelevel).
Enter your answer as a tri-linear inequality accurate to onedecimal place (because the sample statistics are reported accurateto one decimal place).
___________< μ < ____________________
16. You must estimate the mean temperature (in degreesFahrenheit) with the following sample temperatures:
74.2 |
89.8 |
70.1 |
81.7 |
63.6 |
94.8 |
75.3 |
73.3 |
76 |
66.3 |
63 |
Find the 80% confidence interval. Enter your answer as anopen-interval (i.e., parentheses)accurate to two decimal places (because the sample data arereported accurate to one decimal place). 80% C.I. =_____________________
17. The effectiveness of a blood-pressure drug is beinginvestigated. An experimenter finds that, on average, the reductionin systolic blood pressure is 50 for a sample of size 19 andstandard deviation 8. Estimate how much the drug will lower atypical patient's systolic blood pressure (using a 90% confidencelevel).
Give your answers to one decimal place and provide the pointestimate with its margin of error.
______________ ± _______________