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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.

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter1: Functions
Section1.2: The Least Square Line
Problem 8E
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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.
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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