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Chapter 9: Q. 13 (page 392)
Define the- value of the hypothesis test.
The \(P-\)value is the probability that the data from the sample is inconsistent with the null hypothesis.
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We have been provided a sample mean, sample size, and population standard deviation. In the given case, use the one-mean z-test to perform the required hypothesis test at the significance level.
Apparel and Services. According to the document Consumer Expenditures, a publication of the Bureau of Labor Statistics, the average consumer unit spent \( 1736 on apparel and services in 2012 That same year, 25 consumer units in the Northeast had the following annual expenditures, in dollars, on apparel and services.
| 1279 | 1457 | 2020 | 1682 | 1273 |
| 2223 | 2233 | 2192 | 1611 | 1734 |
| 2688 | 2029 | 2166 | 1860 | 2444 |
| 1844 | 1765 | 2267 | 1522 | 2012 |
| 1990 | 1751 | 2113 | 2202 | 1712 |
At the 5 % significance level, do the data provide sufficient evidence to conclude that the 2012 mean annual expenditure on apparel and services for consumer units in the Northeast differed from the national mean of \)1736? (Note: The sample mean and sample standard deviation of the data are \(1922.76 and \)350.90, respectively.)
The normal probability curve and stem-to-leaf diagram of the data are shown in figure; is unknown.
Perform Hypothesis test for mean of the population from which data is obtained and decide whether to use z-test, t-test or neither. Explain your answer.
The normal probability curve and stem-to-leaf diagram of the data are shown in figure; is known.
Perform Hypothesis test for mean of the population from which data is obtained and decide whether to use z-test, t-test or neither. Explain your answer.
How Far People Drive. In 2011, the average car in the United States was driven 13.5 thousand miles, as reported by the Federal Highway Administration in Highway Statistics. On the WeissStats site, we provide last year's distance driven, in thousands of miles, by each of 500 randomly selected cars. Use the technology of your choice to do the following.
a. Obtain a normal probability plot and histogram of the data.
b. Based on your results from part (a), can you reasonably apply the one-mean t-test to the data? Explain your reasoning.
c. At the 5 % significance level, do the data provide sufficient evidence to conclude that the mean distance driven last year differs from that in 2011?
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