An automobile dealer has an inventory of 200 used cars. To estimate the mean mileage of this inventory, she intends to take a simple random sample of used cars. Previous studies suggest that the population standard deviation is 10,000 miles. A 90% confidence interval for the population mean must extend 2,500 miles on each side of its sample estimate. How large of a sample size is necessary to satisfy this requirement? The minimum sample size needed to satisfy the requirement is (Round un to the nearest whole pumber )

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An automobile dealer has an inventory of 200 used cars. To estimate the mean mileage of this inventory, she intends to take a simple random sample of used cars.
Previous studies suggest that the population standard deviation is 10,000 miles. A 90% confidence interval for the population mean must extend 2,500 miles on each
side of its sample estimate. How large of a sample size is necessary to satisfy this requirement?
The minimum sample size needed to satisfy the requirement is
(Round up to the nearest whole number.)
Transcribed Image Text:An automobile dealer has an inventory of 200 used cars. To estimate the mean mileage of this inventory, she intends to take a simple random sample of used cars. Previous studies suggest that the population standard deviation is 10,000 miles. A 90% confidence interval for the population mean must extend 2,500 miles on each side of its sample estimate. How large of a sample size is necessary to satisfy this requirement? The minimum sample size needed to satisfy the requirement is (Round up to the nearest whole number.)
A random sample of six salespersons that attended a motivational course on sales techniques was monitored
three months before and three months after the course. The table shows the values of sales (in thousands of
dollars) generated by these six salespersons in the two periods.
Salesperson Before the Course After the Course
217
242
284
292
3
196
192
4
330
351
5
158
190
198
179
Assume that the population distributions are normal. Find an 80% confidence interval for the difference between the two population means.
What is the confidence interval estimate of the mean difference (uafter - Hbefore)?
(Round to two decimal places as needed.)
Transcribed Image Text:A random sample of six salespersons that attended a motivational course on sales techniques was monitored three months before and three months after the course. The table shows the values of sales (in thousands of dollars) generated by these six salespersons in the two periods. Salesperson Before the Course After the Course 217 242 284 292 3 196 192 4 330 351 5 158 190 198 179 Assume that the population distributions are normal. Find an 80% confidence interval for the difference between the two population means. What is the confidence interval estimate of the mean difference (uafter - Hbefore)? (Round to two decimal places as needed.)
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