8. A student wishes to compare the cost of textbooks from two sellers. The same

Question

8. A student wishes to compare the cost of textbooks from two sellers. The same forty textbooks are priced at both seller A and seller B. Specifically, the student is determining whether at the 0.01 significance level there is sufficient evidence that the mean textbook cost from seller A is lower than the mean cost of textbooks from seller B. A computer is used and it is found that the P-value = 0.005. Which of the following statements is true? (Points : 5)
This is a test regarding two dependent samples. There is sufficient evidence to conclude that the mean price of textbooks is lower at seller A.
This is a test regarding two dependent samples. There is insufficient evidence to conclude that the mean price of textbooks is lower at seller A.
This is a test regarding two independent samples. There is sufficient evidence to conclude that the mean price of textbooks is lower at seller A.
This is a test regarding two independent samples. There is insufficient evidence to conclude that the mean price of textbooks is lower at seller A.

17. Suppose that you wish to test the effect of lowering the soil ph on the number of lady ferns in an area. The researchers hypothesize that lowering the ph-level of the soil will lead to more ferns. Several plots of forest are randomly chosen and the number of lady ferns counted, before and after the soil has been treated with lime (which lowers the soil ph).

Using the sign test, what can be concluded from this experiment? (Points : 5)
We do not reject the null hypothesis.
We reject the null hypothesis.
There is no evidence that treating the soil with lime increases the number of ferns.
Both (a) and (c)

18. Researchers wish to determine if there is a difference between the median home selling price and list price. A random sample of 50 homes is chosen (their selling and list prices are recorded) and the Wilcoxon Signed-Rank Test is performed. Statdisk returns the following information:

Based upon this output, what can be concluded about the median home selling and list prices? (Points : 5)
There is sufficient evidence to conclude that there is a difference in the median home selling and list prices.
There is insufficient evidence to conclude that there is a difference in the median home selling and list prices.
The results are statistically insignificant.
Both (b) and (c)

19. We wish to test if there is a difference in the median weights for yellow and brown M&M's. A random sample of both types of M&M's is selected and weighed. The data was analyzed in Statdisk and with the following results.

Of these two choices (Wilcoxon signed-rank for matched pairs or Wilcoxon signed-rank for two independent samples) what type of test should have been conducted? What can be concluded? (Points : 5)
The Wilcoxon signed-rank for matched pairs should have been conducted. There is insufficient evidence to conclude that there is a difference in the median weight of yellow and brown M&M's.
The Wilcoxon signed-rank for two independent samples should have been conducted. There is insufficient evidence to conclude that there is a difference in the median weight of yellow and brown M&M's.
The Wilcoxon signed-rank for matched pairs should have been conducted. There is sufficient evidence to conclude that there is a difference in the median weight of yellow and brown M&M's.
The Wilcoxon signed-rank for two independent samples should have been conducted. There is sufficient evidence to conclude that there is a difference in the median weight of yellow and brown M&M's.

20. Consumer Reports scored cars on quality and cost. Spearman's rank correlation coefficient was calculated using Statdisk and the output is provided below. Based on these results, does quality appear to be associated with price? What was the sample size used?
(Points : 5)
There is sufficient evidence to conclude that the quality and price of a car are associated. We cannot determine sample size from the output displayed.
There is insufficient evidence to conclude that the quality and price of a car are associated. We cannot determine sample size from the output displayed.
There is sufficient evidence to conclude that the quality and price of a car are associated. There were ten cars used in the sample.
There is insufficient evidence to conclude that the quality and price of a car are associated. There were ten cars used in the sample

19. We wish to test if there is a difference in the median weights for yellow and brown M&M's. A random sample of both types of M&M's is selected and weighed. The data was analyzed in Statdisk and with the following results.

Of these two choices (Wilcoxon signed-rank for matched pairs or Wilcoxon signed-rank for two independent samples) what type of test should have been conducted? What can be concluded? (Points : 5)
The Wilcoxon signed-rank for matched pairs should have been conducted. There is insufficient evidence to conclude that there is a difference in the median weight of yellow and brown M&M's.
The Wilcoxon signed-rank for two independent samples should have been conducted. There is insufficient evidence to conclude that there is a difference in the median weight of yellow and brown M&M's.
The Wilcoxon signed-rank for matched pairs should have been conducted. There is sufficient evidence to conclude that there is a difference in the median weight of yellow and brown M&M's.
The Wilcoxon signed-rank for two independent samples should have been conducted. There is sufficient evidence to conclude that there is a difference in the median weight of yellow and brown M&M's.

Explanation / Answer

8:

Here we have two independent samples. One from seller A and one from seller B. Since p-value is less than 0.01 siginficance level so we reject the null hypothesis.

That is following option is correct:

This is a test regarding two independent samples. There is sufficient evidence to conclude that the mean price of textbooks is lower at seller A.

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