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OHA: 22.3 b. What is the correct distribution to use for the test? Select an answer c. What is the test statistic? d. What is the p-value? p-value= e. The correct decision is to Select an answer f. INTERPRET the conclusion in the context of the problem; e.g., explain in words what the result of the test means. O There is evidence to support the claim that the average age of full-time students is less than the average age of part-time students. The data are statistically significant. O The evidence disproves the claim that the average age of full-time students is less than the average age of part-time students. The data are statistically significant. There is insufficient evidence to support the claim that the average age of full-time students is less than the average age of part-time students. The data are not statistically significant. O The test is inconclusive.

OHA: 22.3 b. What is the correct distribution to use for the test? Select an answer c. What is the test statistic? d. What is the p-value? p-value= e. The correct decision is to Select an answer f. INTERPRET the conclusion in the context of the problem; e.g., explain in words what the result of the test means. O There is evidence to support the claim that the average age of full-time students is less than the average age of part-time students. The data are statistically significant. O The evidence disproves the claim that the average age of full-time students is less than the average age of part-time students. The data are statistically significant. There is insufficient evidence to support the claim that the average age of full-time students is less than the average age of part-time students. The data are not statistically significant. O The test is inconclusive.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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As Director of Admissions at Garden Valley University, you believe that the average age of full-time students (Group 1) is less than the average age of part-time students (Group 2). You sample 45 full-time students, and the sample mean age is 22.3 with a standard deviation of 4.8. You sample 50 part-time students, and the sample mean age is 24.3 with a standard deviation of 5.6. Test the claim using a 2% level of significance. Assume the population standard deviations are unequal and that both populations are normally distributed. Where necessary, round results accurate to 4 decimal places. a. What are the correct hypotheses? Null: Ο Ho: μ = 0 O Ho: ₁ = ₂ Ho: M₁ M₂ Ο Ho: μ = 22.3 Alternative: Ο HA: Mı # με Ο HA: μ. > με HA: ₁2 HA: < 0 Ο HA: μ + 22.3 b. What is the correct distribution to use for the test? Select an answer c. What is the test statistic? d. What is the p-value? p-value = e. The correct decision is to Select an answer f. INTERPRET the conclusion in the context of the problem; e.g., explain in words what the result of the test means. There is evidence to support the claim that the average age of full-time students is less than the average age of part-time students. The data are statistically significant. O The evidence disproves the claim that the average age of full-time students is less than the average age of part-time students. The data are statistically significant. O There is insufficient evidence to support the claim that the average age of full-time students is less than the average age of part-time students. The data are not statistically significant. O The test is inconclusive.
Transcribed Image Text:As Director of Admissions at Garden Valley University, you believe that the average age of full-time students (Group 1) is less than the average age of part-time students (Group 2). You sample 45 full-time students, and the sample mean age is 22.3 with a standard deviation of 4.8. You sample 50 part-time students, and the sample mean age is 24.3 with a standard deviation of 5.6. Test the claim using a 2% level of significance. Assume the population standard deviations are unequal and that both populations are normally distributed. Where necessary, round results accurate to 4 decimal places. a. What are the correct hypotheses? Null: Ο Ho: μ = 0 O Ho: ₁ = ₂ Ho: M₁ M₂ Ο Ho: μ = 22.3 Alternative: Ο HA: Mı # με Ο HA: μ. > με HA: ₁2 HA: < 0 Ο HA: μ + 22.3 b. What is the correct distribution to use for the test? Select an answer c. What is the test statistic? d. What is the p-value? p-value = e. The correct decision is to Select an answer f. INTERPRET the conclusion in the context of the problem; e.g., explain in words what the result of the test means. There is evidence to support the claim that the average age of full-time students is less than the average age of part-time students. The data are statistically significant. O The evidence disproves the claim that the average age of full-time students is less than the average age of part-time students. The data are statistically significant. O There is insufficient evidence to support the claim that the average age of full-time students is less than the average age of part-time students. The data are not statistically significant. O The test is inconclusive.
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