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You wish to test Ho: μ₁ μ2 versus Ha:μ₁ < μ₂ at a = 0.10. You obtain a sample of size n₁ = 5 with a mean of 1 = 83.1 and a standard deviation of s₁ = 20.4 from the first population. You obtain a sample of size n₂ = 14 with a mean of 2 87.5 and a standard deviation of s2 = 8.1 from the second = population. = Assume that the data come from normal populations with equal variances. Round your answers to three decimal places, and round any interim calculations to four decimal places. What is the test statistic? -0.6940 Using your answer from the previous question, find the p-value. Part 2 of 3

You wish to test Ho: μ₁ μ2 versus Ha:μ₁ < μ₂ at a = 0.10. You obtain a sample of size n₁ = 5 with a mean of 1 = 83.1 and a standard deviation of s₁ = 20.4 from the first population. You obtain a sample of size n₂ = 14 with a mean of 2 87.5 and a standard deviation of s2 = 8.1 from the second = population. = Assume that the data come from normal populations with equal variances. Round your answers to three decimal places, and round any interim calculations to four decimal places. What is the test statistic? -0.6940 Using your answer from the previous question, find the p-value. Part 2 of 3

MATLAB: An Introduction with Applications
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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You wish to test \( H_0: \mu_1 = \mu_2 \) versus \( H_a: \mu_1 < \mu_2 \) at \( \alpha = 0.10 \). You obtain a sample of size \( n_1 = 5 \) with a mean of \( \bar{x}_1 = 83.1 \) and a standard deviation of \( s_1 = 20.4 \) from the first population. You obtain a sample of size \( n_2 = 14 \) with a mean of \( \bar{x}_2 = 87.5 \) and a standard deviation of \( s_2 = 8.1 \) from the second population. Assume that the data come from normal populations with equal variances. Round your answers to three decimal places, and round any interim calculations to four decimal places. --- **What is the test statistic?** -0.6940 ✓ --- **Using your answer from the previous question, find the p-value.** [Input space for answer]
Transcribed Image Text:You wish to test \( H_0: \mu_1 = \mu_2 \) versus \( H_a: \mu_1 < \mu_2 \) at \( \alpha = 0.10 \). You obtain a sample of size \( n_1 = 5 \) with a mean of \( \bar{x}_1 = 83.1 \) and a standard deviation of \( s_1 = 20.4 \) from the first population. You obtain a sample of size \( n_2 = 14 \) with a mean of \( \bar{x}_2 = 87.5 \) and a standard deviation of \( s_2 = 8.1 \) from the second population. Assume that the data come from normal populations with equal variances. Round your answers to three decimal places, and round any interim calculations to four decimal places. --- **What is the test statistic?** -0.6940 ✓ --- **Using your answer from the previous question, find the p-value.** [Input space for answer]
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