Project #3888 - statistics

A company that manufactures batteries is interested in constructing a two-sided 90% confidence interval for the population mean.

They sampled 144 batteries and found that the sample mean is 250 hours and the sample standard deviation is 5 hours.

Mall security estimates that the average daily per-store theft is no more than \$250, but wants to determine the accuracy of this statistic.  The company researcher takes a sample of 64 clerks and finds that =\$252 and s = \$10.

a) Test at α = .05

b) Construct a 90% CIE of μ

A college wants to know the lower limit of a two-sided 80% confidence interval for SAT scores on the Math section (range equals 200 to 800).

They sampled 1000 students and found that the sample mean was 580 and the sample standard deviation was 40.

A researcher wishes to test the claim that the average cost of tuition and fees at a 4-year college is less than \$5700.  She selects a random sample of 49 colleges and finds the mean to be \$5750.  The sample standard deviation is \$659.  Is there evidence to support the claim at α = .05?

A Rollercoaster’s auditors estimate that the average daily loss from those illegally riding without tickets is at least (greater or equal) \$250, but wants to determine the accuracy of this statistic.  The company researcher takes a random sample of losses over 81 days and finds that = \$248 and s = \$15.

a) Test at α = 0.02.

b) Construct a 90% confidence interval of losses

Note: a and b are independent.

 Subject Mathematics Due By (Pacific Time) 04/10/2013 12:00 am
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