Independent random samples were selected from two quantitative populations, with sample sizes, means, and variances given below. Z = Population 1 Sample Size 34 Sample Mean 9.6 Sample Variance 10.63 State the null and alternative hypotheses used to test for a difference in the two population means. ○ Ho: (μ₁ −μ₂) = 0 versus H₂: (μ₁ −µ₂) > 0 O Ho: (μ₁ −μ₂) #0 versus H₂: (μ₁ −μ₂) = 0 ○ Ho: (M₁ - H₂) = 0 versus H₂: (μ₁ −µ₂) <0 O Ho: (M₁M₂) < 0 versus H₂: (μ₁ −µ₂) > 0 O Ho: (H₁-H₂) = 0 versus H₂: (μ₁ −µ₂) = 0 Calculate the necessary test statistic. (Round your answer to two decimal places.) Z < 2 45 7.3 16.59 Calculate the rejection region with a = 0.01. (Round your answers to two decimal places. If the test is one-tailed, enter NONE for the unused region.) Z > Draw the appropriate conclusion. O Ho is rejected. There is insufficient evidence to indicate a difference in mean. O Ho is rejected. There is sufficient evidence to indicate a difference in mean. O Ho is not rejected. There is insufficient evidence to indicate a difference in mean. O H is not rejected. There is sufficient evidence to indicate a difference in mean.
Independent random samples were selected from two quantitative populations, with sample sizes, means, and variances given below. Z = Population 1 Sample Size 34 Sample Mean 9.6 Sample Variance 10.63 State the null and alternative hypotheses used to test for a difference in the two population means. ○ Ho: (μ₁ −μ₂) = 0 versus H₂: (μ₁ −µ₂) > 0 O Ho: (μ₁ −μ₂) #0 versus H₂: (μ₁ −μ₂) = 0 ○ Ho: (M₁ - H₂) = 0 versus H₂: (μ₁ −µ₂) <0 O Ho: (M₁M₂) < 0 versus H₂: (μ₁ −µ₂) > 0 O Ho: (H₁-H₂) = 0 versus H₂: (μ₁ −µ₂) = 0 Calculate the necessary test statistic. (Round your answer to two decimal places.) Z < 2 45 7.3 16.59 Calculate the rejection region with a = 0.01. (Round your answers to two decimal places. If the test is one-tailed, enter NONE for the unused region.) Z > Draw the appropriate conclusion. O Ho is rejected. There is insufficient evidence to indicate a difference in mean. O Ho is rejected. There is sufficient evidence to indicate a difference in mean. O Ho is not rejected. There is insufficient evidence to indicate a difference in mean. O H is not rejected. There is sufficient evidence to indicate a difference in mean.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:Independent random samples were selected from two quantitative populations, with sample sizes, means, and variances given below.
Population
Z
State the null and alternative hypotheses used to test for a difference in the two population means.
O Ho: (M₁ M₂) = 0 versus H₂: (μ₁ −μ₂) > 0
O Ho: (M₁M₂) #0 versus H₂: (μ₁ −μ₂) = 0
O Ho: (M₁M₂) = 0 versus H₂: (μ₁ −μ₂) < 0
O Ho: (M₁M₂) < 0 versus H₂: (μ₁ −μ₂) >0
O Ho: (M₁M₂) = 0 versus H₁: (μ₁ −μ₂) #0
Calculate the necessary test statistic. (Round your answer to two decimal places.)
1
Sample Size
34
Sample Mean
9.6
Sample Variance 10.63
Z >
2
45
7.3
16.59
Calculate the rejection region with a = 0.01. (Round your answers to two decimal places. If the test is one-tailed, enter NONE for the unused region.)
Z <
Draw the appropriate conclusion.
O Ho is rejected. There is insufficient evidence to indicate a difference in mean.
O Ho is rejected. There is sufficient evidence to indicate a difference in mean.
O Ho is not rejected. There is insufficient evidence to indicate a difference in mean.
O H is not rejected. There is sufficient evidence to indicate a difference in mean.
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