# MATHEMATICS

**32.** Which of the following components in an ANOVA table are not additive?

[removed]A) degrees of freedom

[removed]B) sum of squares

[removed]C) mean squares

[removed]D) It is not possible to tell.

**33.**

TABLE 12-3

A computer used by a 24-hour banking service is supposed to randomly assign each transaction to one of 5 memory locations. A check at the end of a day’s transactions gave the counts shown in the table for each of the 5 memory locations, along with the number of reported errors.

The bank manager wanted to test whether the proportion of errors in transactions assigned to each of the 5 memory locations differ.

Referring to Table 12-3, which test would be used to properly analyze the data in this experiment?

[removed]A) *χ*^{2} test for differences between two proportions (related samples)

[removed]B) *χ*^{2} test for the differences among more than two proportions

[removed]C) *χ*^{2} test for differences between two proportions (independent samples)

[removed]D) *χ*^{2} test of independence

**34.** A local real estate appraiser analyzed the sales prices of homes in 2 neighborhoods to the corresponding appraised values of the homes. The goal of the analysis was to compare the distribution of sale-to-appraised ratios from homes in the 2 neighborhoods. Random and independent samples were selected from the 2 neighborhoods from last year’s homes sales, 8 from each of the 2 neighborhoods. Identify the nonparametric method that would be used to analyze the data.

[removed]A) the Wilcoxon Signed-Ranks Test, using the test statistic *W*

[removed]B) the Wilcoxon Rank Sum Test, using the test statistic *T*_{1}

[removed]C) the Wilcoxon Rank Sum Test, using the test statistic *Z*

[removed]D) the Wilcoxon Signed-Ranks Test, using the test statistic *Z*

**35.** TABLE 13-2

A candy bar manufacturer is interested in trying to estimate how sales are influenced by the price of their product. To do this, the company randomly chooses 6 small cities and offers the candy bar at different prices. Using candy bar sales as the dependent variable, the company will conduct a simple linear regression on the data below:

Referring to Table 13-2, what is the standard error of the estimate, *S*_{YX}, for the data?

[removed]A) 0.784

[removed]B) 16.299

[removed]C) 12.650

[removed]D) 0.885

**36.** TABLE 13-11

A company that has the distribution rights to home video sales of previously released movies would like to use the box office gross (in millions of dollars) to estimate the number of units (in thousands of units) that it can expect to sell. Following is the output from a simple linear regression along with the residual plot and normal probability plot obtained from a data set of 30 different movie titles:

ANOVA

Referring to Table 13-11, which of the following assumptions appears to have been violated?

[removed]A) independence of errors

[removed]B) normality of error

[removed]C) domesticity

[removed]D) none of the above