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The average speed of vehicles on a highway is being studied.
a. Suppose observations on 50 vehicles yielded a sample mean of 65 mph. Assume that the standard deviation of vehicle speed is known to be 6 mph. Determine the two-sided 99% confidence intervals of the mean speed.
b. In part (a), how many additional vehicles' speed should be observed such that the mean speed can be estimated to within ± 1 mph with 99% confidence?
c. Suppose John and Mary are assigned to collect data on the speed of vehicles on this highway. After each person has separately observed 100 vehicles, what is the probability that John's sample mean will exceed Mary's sample mean by 2 mph?
A random sample of 64 light bulbs indicates a sample mean life of 350 hours. At the 0.05 level of significance, is there evidence that the mean life is different from 375 hours?
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As a part of their testing program Sony tests samples of 25 batteries. What can you say about the shape of the distribution of sample mean?
Construct a frequency distribution, percentage distribution, and cumulative percentage distribution for average airfares.
Entrepreneurship researchers are interested in the relationship between entrepreneurial behaviour of firms, such as innovation or new business venturing, and performance indicators, such as sales growth or profitability.
After surveying 90 couples, they determined the mean of their sample to be $150 and the standard deviation was $5. What is the 95% confidence interval for the population mean?
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How large random sample of potential voters will be required to evaluate result with 95% confidence and with margin of error of plus and minus 3%?
What is the probability that a shopper will spend more than 25 minutes in a store? If 200 shoppers enter a store, how many shoppers would you expect to stay in the store for more than 25 minutes?
In order to estimate the difference between the average hourly wages of employees of two branches of a department store, the following data have been gathered.
SAT Math scores have a bell-shaped distribution with a mean of 515 and a standard deviation of 116. a) what percentage of SAT scores are between 399 and 631?
What is the null hypothesis? Use a = 0.05 .
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