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A company wants to know if the mean of its new product differs from the mean of the standard which is 0.742 pounds and a standard deviation of 0.0403 pounds. If a sample of 35 yields a mean of 0.720. Compute the appropriate test and make a decision.

A company wants to know if the mean of its new product differs from the mean of the standard which is 0.742 pounds and a standard deviation of 0.0403 pounds. If a sample of 35 yields a mean of 0.720. Compute the appropriate test and make a decision.

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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A company wants to know if the mean of its new product differs from the mean of the standard which is 0.742 pounds and a standard deviation of 0.0403 pounds. If a sample of 35 yields a mean of 0.720. Compute the appropriate test and make a decision.
Transcribed Image Text:A company wants to know if the mean of its new product differs from the mean of the standard which is 0.742 pounds and a standard deviation of 0.0403 pounds. If a sample of 35 yields a mean of 0.720. Compute the appropriate test and make a decision.
Solution 1. Ho: The average life span today is not greater than 72 years. Ha: The average life span today is greater than 72 years. 0.05 2. 3. t-test (one-tailed) 4. df=n-1 df=100-1=99 t₁ = 1.66 Tabular value 5. Computation using the formula for sample mean compared with population mean tc = Substitute the given values in the formula tc (x-μ)√n S = F = 69 = 72 μ n = 100 S = 8.9 HOW (69-72)√/100 8.9 tc = -3.37 6. Decision: Since t computed value of -3.37 is less than tabular value of 1.66. Therefore, we reject our null hypothesis (Ho). 7. Formulate conclusion: The average life span today is greater than 72 years.
Transcribed Image Text:Solution 1. Ho: The average life span today is not greater than 72 years. Ha: The average life span today is greater than 72 years. 0.05 2. 3. t-test (one-tailed) 4. df=n-1 df=100-1=99 t₁ = 1.66 Tabular value 5. Computation using the formula for sample mean compared with population mean tc = Substitute the given values in the formula tc (x-μ)√n S = F = 69 = 72 μ n = 100 S = 8.9 HOW (69-72)√/100 8.9 tc = -3.37 6. Decision: Since t computed value of -3.37 is less than tabular value of 1.66. Therefore, we reject our null hypothesis (Ho). 7. Formulate conclusion: The average life span today is greater than 72 years.
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