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In May 2008, CNN reported that Sports Utility Vehicles (SUVs) are plunging toward the "endangered" list. Due to soaring oil prices and environmental concerns, consumers are replacing gas-guzzling vehicles with fuel-efficient smaller cars.
As a result, there has been a big drop in the demand for new as well as used SUVs. A sales manager of a used car dealership believes that it takes 30 days longer to sell an SUV as compared to a small car.
In the last two months, he sold 18 SUVs that took an average of 95 days to sell with a standard deviation of 32 days. He also sold 38 small cars with an average of 48 days to sell and a standard deviation of 24 days.
a. Construct the null and the alternative hypotheses to contradict the manager's claim.
b. Compute the value of the test statistic under the assumption that the variability of selling time for the SUVs and the small cars is the same.
c. Implement the test at α = 0.10 and interpret your results.
The frequency distribution below shows the distribution for suspended solid concentration (in PPM) in river water of 50 different waters collected in September 2011.
it is assumed that the time failures for an electronic component are exponentially distributed with a mean of 50 hours
An article in a journal reports that 34 percent of American fathers take no responsibility for child care.
a) How would the confidence interval change if the sample size had been 800 instead of 200? b) How would the confidence interval change if the confidence level had been 90% instead of 95%?
Ethan has a midterm in his statistics class, which starts 10 minutes after the scheduled end of his biology class. The biology teacher rarely ends class.
In Example, the information given was that 3% of a nationwide randomly selected sample of n = 883 suffered from severe allergies.
Four brands of lightbulbs are being considered for use in the final assembly area of the Saturn plant in Spring Hill, Tennessee. The director of purchasing asked for samples of 100 from each manufacturer.
Translate this into a statistical hypothesis-testing problem and carry out the test. Be sure to give the null and alternative hypotheses, the value of the test statistic, the p-value, and your conclusions.
For decades, researchers, politicians, and tobacco company executives debated the relation between smoking and health problems, such as cancer.
Web-based exercise. Willie Mays is fourth on the career home run list, behind Barry Bonds, Hank Aaron, and Babe Ruth. You can find Willie Mays's home run.
a test of a two-tail hypothesis rejects the null hypothesis at the 5 level of significance. what will the decision be
Do the Kruskal-Wallis test. Explain the distinction between the hypotheses tested by Kruskal-Wallis and ANOVA.- Write a brief statement of your findings. Include a numerical comparison of the groups as well as your test result.
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