A company manufactures printers and fax machines at plants located in Atlanta, Dallas, and Seattle To measure how much employees at these plants know about quality management, a random sample of 6 employees was selected from each plant and the employees selected were given a quality awareness examination The examination scores for these 18 employees are shown in the following table The sample means, sample variances, and sample standard deviations for each group are also provided Managers want to use these data to test the hypothesis that the mean examination score is the same for all three plants Plant 1 Atlanta Plant 2 Dallas Plant 3 Seattle 86 70 59 75 74 63 81 73 63 75 75 68 70 68 76 87 90 61 Sample mean 79 75 65 Sample variance 46 0 60 8 38 0 Sample standard deviation 6 78 7 80 6 16 Set up the ANOVA table for these data (Round your values for MSE and F to two decimal places, and your p value to four decimal places ) Source of Variation Sum of Squares Degrees of Freedom Mean Square F p value Treatments Error Total Test for any significant difference in the mean examination score for the three plants Use 0 05 State the null and alternative hypotheses H 0 1 2 3 H a 1 2 3 H 0 1 2 3 H a 1 2 3 H 0 1 2 3 H a Not all the population means are equal H 0 At least two of the population means are equal H a At least two of the population means are different H 0 Not all the population means are equal H a 1 2 3 Find the value of the test statistic (Round your answer to two decimal places ) Find the p value (Round your answer to four decimal places ) p value State your conclusion Reject H 0 There is not sufficient evidence to conclude that the means for the three plants are not equal Do not reject H 0 There is sufficient evidence to conclude that the means for the three plants are not equal Do not reject H 0 There is not sufficient evidence to conclude that the means for the three plants are not equal Reject H 0 There is sufficient evidence to conclude that the means for the three plants are not equal

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A company manufactures printers and fax machines at plants located in Atlanta, Dallas, and Seattle. To measure how much employees at these plants know about

A company manufactures printers and fax machines at plants located in Atlanta, Dallas, and Seattle. To measure how much employees at these plants know about quality management, a random sample of 6 employees was selected from each plant and the employees selected were given a quality awareness examination. The examination scores for these 18 employees are shown in the following table. The sample means, sample variances, and sample standard deviations for each group are also provided. Managers want to use these data to test the hypothesis that the mean examination score is the same for all three plants.

	Plant 1 Atlanta	Plant 2 Dallas	Plant 3 Seattle
	86	70	59
75	74	63
81	73	63
75	75	68
70	68	76
87	90	61
Sample mean	79	75	65
Sample variance	46.0	60.8	38.0
Sample standard deviation	6.78	7.80	6.16

Set up the ANOVA table for these data. (Round your values for MSE and F to two decimal places, and your p-value to four decimal places.)

Source of Variation	Sum of Squares	Degrees of Freedom	Mean Square	F	p-value
Treatments
Error
Total

Test for any significant difference in the mean examination score for the three plants. Use

= 0.05.

State the null and alternative hypotheses.

H₀: ₁ ₂ ₃ H_a: ₁ = ₂ = ₃H₀: ₁ = ₂ = ₃ H_a: ₁ ₂ ₃ H₀: ₁ = ₂ = ₃ H_a: Not all the population means are equal.H₀: At least two of the population means are equal. H_a: At least two of the population means are different.H₀: Not all the population means are equal. H_a: ₁ = ₂ = ₃

Find the value of the test statistic. (Round your answer to two decimal places.)

Find the p-value. (Round your answer to four decimal places.)

p-value =

State your conclusion.

Reject H₀. There is not sufficient evidence to conclude that the means for the three plants are not equal.Do not reject H₀. There is sufficient evidence to conclude that the means for the three plants are not equal. Do not reject H₀. There is not sufficient evidence to conclude that the means for the three plants are not equal.Reject H₀. There is sufficient evidence to conclude that the means for the three plants are not equal.