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Assignment #33

Statistics

Tanaka

Sample Size Determination

1. A researcher wants to determine a 95% confidence interval for the mean number of hours that high school students spend doing homework per week. She knows that the standard deviation for hours spent per week by all high school students doing homework is 7. How large a sample should the researcher select so that the estimate will be within 1.5 hours of the population mean?

2. Tony's Pizza guarantees all pizza deliveries within 30 minutes of the placement of orders. An agency wants to estimate the proportion of all pizzas delivered within 30 minutes by Tony's. What is the most conservative estimate of the sample size that would limit the margin of error to within .02 of the of the population proportion for a 99% confidence interval?

3. A consumer agency wants to estimate the proportion of all drivers who wear seat belts while driving. Assume that a preliminary study has shown that 76% of drivers wear seat belts while driving. How large should the sample size be so that the 99% confidence interval for the population proportion has a margin of error of .03?

Subject | Mathematics |

Due By (Pacific Time) | 05/06/2014 |

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