The SST , SSTR and SSE .

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Answer 1

Question

Chapter 16.3, Problem 45E

(a)

To determine

To compute: The SST, SSTR and SSE.

(b)

To determine

To compare: The values of SSTR and SSE values obtained by computing and defined formulae.

(c)

To determine

To construct: One-way ANOVA table.

(d)

To determine

To check: Whether the data provide sufficient evidence to conclude the means of the population from which the samples were drawn are not all the same.

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In Exercises 5–20, assume that the two samples are independent simple random samples selected from normally distributed populations, and do not assume that the population standard deviations are equal. (Note: Answers in Appendix D include technology answers based on Formula 9-1 along with “Table” answers based on Table A-3 with df equal to the smaller of n1 − 1 and n2 − 1.) Car and Taxi Ages When the author visited Dublin, Ireland (home of Guinness Brewery employee William Gosset, who first developed the t distribution), he recorded the ages of randomly selected passenger cars and randomly selected taxis. The ages can be found from the license plates. (There is no end to the fun of traveling with the author.) The ages (in years) are listed below. We might expect that taxis would be newer, so test the claim that the mean age of cars is greater than the mean age of taxis.

Chapter 6, Section 5, Exercise 236 Use a t-distribution and the given matched pair sample results to complete the test of the given hypotheses. Assume the results come from random samples, and if the sample sizes are small, assume the underlying distribution of the differences is relatively normal. Assume that differences are computed using d=x1-x2.Test H0 : μd=0 vs Ha : μd≠0 using the paired difference sample results x¯d=10.51, sd=11.6, nd=25. Give the test statistic and the p-value.Round your answer for the test statistic to two decimal places and your answer for the p-value to three decimal places.test statistic = Enter your answer; test statisticp-value = Enter your answer; p-value Give the conclusion using a 5% significance level. Reject H0. Do not reject H0.

The data summarized in the accompanying table is from a paper. Suppose that the data resulted from classifying each person in a random sample of 50 male students and each person in a random sample of 94 female students at a particular college according to their response to a question about whether they usually eat three meals a day or rarely eat three meals a day. Usually Eat3 Meals a Day Rarely Eat3 Meals a Day Male 27 23 Female 38 56 (a) Is there evidence that the proportions falling into each of the two response categories are not the same for males and females? Use the ?2 statistic to test the relevant hypotheses with a significance level of 0.05. Calculate the test statistic. (Round your answer to two decimal places.) ?2 = Use technology to calculate the P-value. (Round your answer to four decimal places.) P-value = What can you conclude? Fail to reject H0. There is convincing evidence that the proportions falling into the two response categories are not the…

Answer 2

Question

Chapter 16.3, Problem 45E

(a)

To determine

To compute: The SST, SSTR and SSE.

(b)

To determine

To compare: The values of SSTR and SSE values obtained by computing and defined formulae.

(c)

To determine

To construct: One-way ANOVA table.

(d)

To determine

To check: Whether the data provide sufficient evidence to conclude the means of the population from which the samples were drawn are not all the same.

Expert Solution & Answer

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Answer 3

Question

Chapter 16.3, Problem 45E

(a)

To determine

To compute: The SST, SSTR and SSE.

(b)

To determine

To compare: The values of SSTR and SSE values obtained by computing and defined formulae.

(c)

To determine

To construct: One-way ANOVA table.

(d)

To determine

To check: Whether the data provide sufficient evidence to conclude the means of the population from which the samples were drawn are not all the same.

Expert Solution & Answer

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Answer 4

Question

Chapter 16.3, Problem 45E

(a)

To determine

To compute: The SST, SSTR and SSE.

(b)

To determine

To compare: The values of SSTR and SSE values obtained by computing and defined formulae.

(c)

To determine

To construct: One-way ANOVA table.

(d)

To determine

To check: Whether the data provide sufficient evidence to conclude the means of the population from which the samples were drawn are not all the same.

Expert Solution & Answer

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Answer 5

Chapter 16.3, Problem 45E

(a)

To determine

To compute: The SST, SSTR and SSE.

(b)

To determine

To compare: The values of SSTR and SSE values obtained by computing and defined formulae.

(c)

To determine

To construct: One-way ANOVA table.

(d)

To determine

To check: Whether the data provide sufficient evidence to conclude the means of the population from which the samples were drawn are not all the same.

Answer 6

Chapter 16.3, Problem 45E

(a)

To determine

To compute: The SST, SSTR and SSE.

Answer 7

Chapter 16.3, Problem 45E

(a)

To determine

To compute: The SST, SSTR and SSE.

Answer 8

(b)

To determine

To compare: The values of SSTR and SSE values obtained by computing and defined formulae.

Answer 9

(b)

To determine

To compare: The values of SSTR and SSE values obtained by computing and defined formulae.

Answer 10

(c)

To determine

To construct: One-way ANOVA table.

Answer 11

(c)

To determine

To construct: One-way ANOVA table.

Answer 12

(d)

To determine

To check: Whether the data provide sufficient evidence to conclude the means of the population from which the samples were drawn are not all the same.

Answer 13

(d)

To determine

To check: Whether the data provide sufficient evidence to conclude the means of the population from which the samples were drawn are not all the same.

Answer 14

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Answer 15

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Answer 16

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Answer 17

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The SST , SSTR and SSE .

Solution Summary: The author calculates the values of SST, SSTR, and SSE. Sample 1 has 4 values, sample 2, and sample 3.

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To compute: The SST, SSTR and SSE.

To compare: The values of SSTR and SSE values obtained by computing and defined formulae.

To construct: One-way ANOVA table.

To check: Whether the data provide sufficient evidence to conclude the means of the population from which the samples were drawn are not all the same.

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Chapter 16 Solutions