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Chapter 7: Q. 28 (page 457)
In a residential neighborhood, the median value of a house is . For which of the
following sample sizes is the sample median most likely to be above ?
(a)
(b)
(c)
(d)
(e) Impossible to determine without more information.
The correct answer is (a)
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Social scientists are interested in the association between high school graduation rate (HSGR, measured as a percent) and the percent of U.S. families living in poverty (POV). Data were collected from all 50 states and the District of Columbia, and a regression analysis was conducted.
The resulting least-squares regression line is given by (HSGR) (HSGR) with . Based on the information, which of the following is the best interpretation for the slope of the least-squares regression line?
a. For each 1% increase in the graduation rate, the percent of families living in poverty is predicted to decrease by approximately 0.896 .
b. For each 1 % increase in the graduation rate, the percent of families living in poverty is predicted to decrease by approximately 0.802.
c. For each 1 % increase in the graduation rate, the percent of families living in poverty is predicted to decrease by approximately 0.620.
d. For each 1 % increase in the percent of families living in poverty, the graduation rate is predicted to decrease by approximately 0.802.
e. For each 1 % increase in the percent of families living in poverty, the graduation rate is predicted to decrease by approximately 0.620.
Tall girls? To see if the claim made in Exercise is true at their high school, an Ap Statistics class chooses an SRS of twenty -year-old females at the school and measures their heights. In their sample, the mean height is inches. Does this provide convincing evidence that -year-old females at this school are taller than inches, on average?
a. What is the evidence that the average height of all -year-old females at this school is greater than inches, on average?
b. Provide two explanations for the evidence described in part (a).
We used technology to simulate choosing SRSs of size from a population of three hundred -year-old females whose heights follow a Normal distribution with mean localid="1654113150676" inches and standard deviation inches. The dotplot shows the sample mean height for each of the simulated samples.
c. There is one dot on the graph at . Explain what this value represents.
d. Would it be surprising to get a sample mean of or larger in an SRS of size when inches and inches? Justify your answer.
e. Based on your previous answers, is there convincing evidence that the average height of all -year-old females at this school is greater than inches? Explain your reasoning.
The five-number summary for a data set is given by min = 5, , median = 20, , max = 75. If you wanted to construct a boxplot for the data set that would show outliers, if any existed, what would be the maximum possible length of the right-side 鈥渨hisker鈥�?
a. 33
b. 35
c. 45
d. 53
e. 55
Sample proportions List all possible SRSS of size , calculate the proportion of red cars in the sample, and display the sampling distribution of the sample proportion on a dotplot. Is the sample proportion an unbiased estimator of the population proportion? Explain your answer.
| COLOR | AGE |
| RED | |
| WHITE | |
| SILVER | |
| RED |
Why is it important to check the 10 % condition before calculating probabilities involving localid="1654670795605">
a. To reduce the variability of the sampling distribution of
b. To ensure that the distribution of is approximately Normal
c. To ensure that we can generalize the results to a larger population
d. To ensure that will be an unbiased estimator of
e. To ensure that the observations in the sample are close to independent
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