The Illinois State Toll Highway Authority is conducting a study to estimate the mean one-way distance to work for likely toll-road commuters. The study researcher desires a 3-mile margin of error at 99% confidence. The population standard deviation is unknown, so a best guess is used as the planning value for σ. The highway authority estimates that the smallest distance to work in the population of low-income consumers is 3 miles, and the largest distance to work is 90 miles. A rough approximation of the population standard deviation is ______   .   Use the Distributions tool to help to answer the question that follows.   To satisfy the requirement for the margin of error, a sample size no smaller than_____    is needed.

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6. Sample size for an interval estimate of a population mean

The Illinois State Toll Highway Authority is conducting a study to estimate the mean one-way distance to work for likely toll-road commuters. The study researcher desires a 3-mile margin of error at 99% confidence.
The population standard deviation is unknown, so a best guess is used as the planning value for σ. The highway authority estimates that the smallest distance to work in the population of low-income consumers is 3 miles, and the largest distance to work is 90 miles.
A rough approximation of the population standard deviation is ______   .
 
Use the Distributions tool to help to answer the question that follows.
 
To satisfy the requirement for the margin of error, a sample size no smaller than_____    is needed.

 

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