You wish to test Ho: ₁ = μ2 versus Ha: ₁ > μ2 at a = 0.01. You obtain a sample of size n₁ = 7 with a mean of 1 = 86.3 and a standard deviation of s₁ = 13.7 from the first population. You obtain a sample of size n₂ = 14 with a mean of 2 = 77.4 and a standard deviation of s2 = 5.1 from the second population. Assume that the populations are normal with equal variances. Do not round interim calculations. Round your final answers to three decimal places. (a). Find the test statistic: (b). Using your answer from (a), find the p-value: (c). You [Select an answer the null hypothesis. (d). There is Select an answer second population mean evidence to conclude the first population mean is greater than the

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.
Chapter13: Probability And Calculus
Section13.2: Expected Value And Variance Of Continuous Random Variables
Problem 10E
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You wish to test Ho: μ₁ = μ₂ versus Ha μ₁ > μ2₂ at a = 0.01. You obtain a sample of size n₁ = 7 with
:
a mean of 1 = 86.3 and a standard deviation of s₁ = 13.7 from the first population. You obtain a sample
of size n₂ = 14 with a mean of 2 = 77.4 and a standard deviation of s2 = 5.1 from the second
population. Assume that the populations are normal with equal variances.
Do not round interim calculations. Round your final answers to three decimal places.
(a). Find the test statistic:
(b). Using your answer from (a), find the p-value:
(c). You Select an answer the null hypothesis.
(d). There is Select an answer evidence to conclude the first population mean is greater than the
second population mean
Transcribed Image Text:You wish to test Ho: μ₁ = μ₂ versus Ha μ₁ > μ2₂ at a = 0.01. You obtain a sample of size n₁ = 7 with : a mean of 1 = 86.3 and a standard deviation of s₁ = 13.7 from the first population. You obtain a sample of size n₂ = 14 with a mean of 2 = 77.4 and a standard deviation of s2 = 5.1 from the second population. Assume that the populations are normal with equal variances. Do not round interim calculations. Round your final answers to three decimal places. (a). Find the test statistic: (b). Using your answer from (a), find the p-value: (c). You Select an answer the null hypothesis. (d). There is Select an answer evidence to conclude the first population mean is greater than the second population mean
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