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.

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Chapter1: Starting With Matlab
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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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