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Chapter 12: Q9CQQ (page 566)

Estimating Length Using the same results displayed in Exercise 8, does it appear that the length estimates are affected by the sex of the subject?

Short Answer

Expert verified

As the p-value equal to 0.395 is greater than 0.05, it can be concluded that the factor of sex does not significantly affect the visual estimation of the length of the classroom.

Step by step solution

01

Given information

The two-way analysis of variance results is shown through the minitab output for estimating the class length using sex and major for 18 students.

Refer to Exercise 8.

02

Analysis of the two-way analysis of variance

The following three effects are analyzed on the target variable, here, estimates.

  • Effect of the interaction term
  • Effect of factor 1, sex
  • Effect of factor 2, major

The null hypothesis to test the significance of the effect of sex is as follows.


There is no significant effect of sex on the length estimates of the classroom.

The value of the F-statistic for the factor 鈥榮ex鈥� is equal to 0.78.

The corresponding p-value is equal to 0.395.

As the p-value is greater than 0.05, the null hypothesis is failed to reject.

Thus, there is not enough evidence to conclude that sex has a significant effect on length estimates.

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Most popular questions from this chapter

The heights (cm) in the following table are from Data Set 1 鈥淏ody Data鈥� in Appendix B. Results from two-way analysis of variance are also shown. Use the displayed results and use a 0.05 significance level. What do you conclude?


Female

Male

18-29

161.2

170.2

162.9

155.5

168

153.3

152

154.9

157.4

159.5

172.8

178.7

183.1

175.9

161.8

177.5

170.5

180.1

178.6

30-49

169.1

170.6

171.1

159.6

169.8

169.5

156.5

164

164.8

155

170.1

165.4

178.5

168.5

180.3

178.2

174.4

174.6

162.8

50-80

146.7

160.9

163.3

176.1

163.1

151.6

164.7

153.3

160.3

134.5

181.9

166.6

171.7

170

169.1

182.9

176.3

166.7

166.3

Quarters Assume that weights of quarters minted after 1964 are normally distributed with a mean of 5.670 g and a standard deviation of 0.062 g (based on U.S. Mint specifications).

a. Find the probability that a randomly selected quarter weighs between 5.600 g and 5.700 g.

b. If 25 quarters are randomly selected, find the probability that their mean weight is greater than 5.675 g.

c. Find the probability that when eight quarters are randomly selected, they all weigh less than 5.670 g.

d. If a vending machine is designed to accept quarters with weights above the 10th percentile P10, find the weight separating acceptable quarters from those that are not acceptable.

Car Crash Tests Data Set 19 鈥淐ar Crash Tests鈥� in Appendix B lists results from car crash tests. The data set includes crash test loads (pounds) on the left femur and right femur. When those loads are partitioned into the three car size categories of small, midsize, and large, the two-way analysis of results from XLSTAT are as shown below. (The row factor of femur has the two values of left femur and right femur, and the column factor of size has the three values of small, midsize, and large.) Use a 0.05 significance level to apply the methods of two-way analysis of variance. What do you conclude?

Two-Way ANOVA If we have a goal of using the data described in Exercise 1 to (1) determine whether age bracket has an effect on pulse rates and (2) to determine whether gender has an effect on pulse rates, should we use one-way analysis of variance for the two individual tests? Why or why not?

Arsenic in Rice Listed below are amounts of arsenic in samples of brown rice from three different states. The amounts are in micrograms of arsenic and all samples have the same serving size. The data are from the Food and Drug Administration. Use a 0.05 significance level to test the claim that the three samples are from populations with the same mean. Do the amounts of arsenic appear to be different in the different states? Given that the amounts of arsenic in the samples from Texas have the highest mean, can we conclude that brown rice from Texas poses the greatest health problem?

Arkansas

4.8

4.9

5

5.4

5.4

5.4

5.6

5.6

5.6

5.9

6

6.1

California

1.5

3.7

4

4.5

4.9

5.1

5.3

5.4

5.4

5.5

5.6

5.6

Texas

5.6

5.8

6.6

6.9

6.9

6.9

7.1

7.3

7.5

7.6

7.7

7.7
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