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Question: Last year, consumers increasingly bought fleece (industry jargon for hotselling jogging suits, which now rival jeans as the uniform for casual attire). A New York designer of jogging suits is interested in the new trend and wants to estimate the amount spent per person on jogging suits during the year. The designer knows that people who belong to health and fitness clubs will have different buying behavior than people who do not. Furthermore, the designer finds that, within the proposed study area, 18% of the population are members of health and fitness clubs. A random sample of 300 people is selected, and the sample is proportionally allocated to the two strata: members of health clubs and nonmembers of health clubs. It is found that among members, the average amount spent is $152.43 and the standard deviation is $25.77, while among the nonmembers, the average amount spent is $15.33 and the standard deviation is $5.11.
a. What is the stratified estimate of the mean?
b. What is the standard error of the estimator?
c. Give a 90% confidence interval for the population mean µ.
d. Discuss one possible problem with the data.
In one town, 24% of all voters are Democrats. If two voters are randomly selected for a survey, find the probability that they are both Democrats. Round to the nearest thousandth if necessary.
The manager collected data on shelf space and weekly sales from a random sample of 12 equal-sized stores. For those data, SSR equals=19,607 and SST= 29,785. What is the standard error of the estimate?
Translate the following arguments into symbolic notation.- Either the wealthiest people are the happiest, or it is not the case that money can buy everything.
Find the sample mean and find the sample standard deviation - construct a confidence interval for the true population mean for body temperatures of healthy adults.
Explain why it was significant that "generals and soldiers ... rather than statesmen" determined Europe's direction following the end of World War II.
Produce a pie chart that represents the market shares obtained from the referenced sample. Indicate the market shares and the identity of those manufacturers.
a chemical company has three plants. due to a shortage of labor and the intense heat involved in production only one
How to drive the car is 9.5 hours with a standard deviation of 1.5 hours. Test the managerâ??s claim at the 1% significance level. Determine the critical values of the test statistic.
First, write out the expres- sion for the exact determination of the cut-off point, and secondly, use the CLT for its numerical determination.
What alternatives other than specific protection strategies might Larkin Oil consider (for example, insurance)?
In the proof of Theorem 2 we determined the quantity E[X(X - 1)], called the second factorial moment. In general, the rth factorial moment of X is given by
For commercial banks in each state, the U.S. Federal Deposit Insurance Corporation has listed their total deposits (billions of dollars) as follows.- Construct a frequency distribution and a histogram for these data.
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