A survey is planned to compare salaries of plant managers in two regions. The plan is to take a sample of 200 plant managers from each region and ask their annual salaries. Assume that previous sample statistics suggest that o, = 0, = $4000. Are the sample sizes sufficient to produce a 95% confidence interval on u, - H, having a width of only $1000? Click here to view page 1 of the standard normal distribution table. The sample sizes V sufficient because the samples would need to be at least people each, which is the planned sample sizes of 200. (Round up to the nearest whole number as needed.)

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A survey is planned to compare salaries of plant managers in two regions. The plan is to take a sample of 200 plant
managers from each region and ask their annual salaries. Assume that previous sample statistics suggest that
o, = 0, = $4000. Are the sample sizes sufficient to produce a 95% confidence interval on H - H, having a width of
%3D
only $1000?
Click here to view page 1 of the standard normal distribution table.
The sample sizes
V sufficient because the samples would need to be at least
people each, which is
the planned sample sizes of 200.
(Round up to the nearest whole number as needed.)
Transcribed Image Text:A survey is planned to compare salaries of plant managers in two regions. The plan is to take a sample of 200 plant managers from each region and ask their annual salaries. Assume that previous sample statistics suggest that o, = 0, = $4000. Are the sample sizes sufficient to produce a 95% confidence interval on H - H, having a width of %3D only $1000? Click here to view page 1 of the standard normal distribution table. The sample sizes V sufficient because the samples would need to be at least people each, which is the planned sample sizes of 200. (Round up to the nearest whole number as needed.)
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