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The depletion time of a vital resource in a production process is believed to be normally distributed ocess is believ with a mean of μ = 31 minutes and a standard deviation of a = 4 minutes. A recently appointed production team introduced new efficiencies that they claim make the depletion of the resource slower. To test this claim, a random sample of n = 10 production shifts were taken and the observed mean depletion time of the resource was = 32.3 minutes. a. In testing the production team's claim, select the appropriate alternative hypothesis, H₁ or Ha: Ομ < 31 6 Ομ > 31 Ομ # 32.3 Ομ > 32.3 Ομ < 32.3 Ομ # 31 b. At a = 0.04, determine the critical value (2 decimal places): Critical Value = Day 22 nent todell 212 Tol visszavou PURAT 0 Restong Titov 62 Jenoltasjong Tok c. The value of the test statistic (2 decimal places) = 8 13 901

The depletion time of a vital resource in a production process is believed to be normally distributed ocess is believ with a mean of μ = 31 minutes and a standard deviation of a = 4 minutes. A recently appointed production team introduced new efficiencies that they claim make the depletion of the resource slower. To test this claim, a random sample of n = 10 production shifts were taken and the observed mean depletion time of the resource was = 32.3 minutes. a. In testing the production team's claim, select the appropriate alternative hypothesis, H₁ or Ha: Ομ < 31 6 Ομ > 31 Ομ # 32.3 Ομ > 32.3 Ομ < 32.3 Ομ # 31 b. At a = 0.04, determine the critical value (2 decimal places): Critical Value = Day 22 nent todell 212 Tol visszavou PURAT 0 Restong Titov 62 Jenoltasjong Tok c. The value of the test statistic (2 decimal places) = 8 13 901

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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The depletion time of a vital resource in a production process is believed to be normally distributed with a mean of μ = 31 minutes and a standard deviation of σ = 4 minutes. A recently appointed production team introduced new efficiencies that they claim make the depletion of the resource slower. To test this claim, a random sample of n = 10 production shifts were taken and the observed mean depletion time of the resource was \( \bar{x} = 32.3 \) minutes. a. In testing the production team's claim, select the appropriate alternative hypothesis, \( H_1 \) or \( H_a \): - \( \mu \neq 32.3 \) - \( \mu < 32.3 \) - \( \mu > 32.3 \) - \( \mu < 31 \) - \( \mu \neq 31 \) - \( \mu > 31 \) b. At \( \alpha = 0.04 \), determine the critical value (2 decimal places): - Critical Value = _________ c. The value of the test statistic (2 decimal places) = _________ d. At \( \alpha = 0.04 \), select the decision/conclusion: - Reject the null hypothesis - \( \bigcirc \) - Select an answer: \( \bigcirc \) - Fail to reject the null hypothesis - \( \bigcirc \) - Select an answer: \( \bigcirc \) - There is - \( \bigcirc \) - Select an answer: \( \bigcirc \) - There is not - \( \bigcirc \) - Select an answer: \( \bigcirc \) sufficient evidence to conclude that the new efficiencies introduced make the depletion of the resource slower.
Transcribed Image Text:The depletion time of a vital resource in a production process is believed to be normally distributed with a mean of μ = 31 minutes and a standard deviation of σ = 4 minutes. A recently appointed production team introduced new efficiencies that they claim make the depletion of the resource slower. To test this claim, a random sample of n = 10 production shifts were taken and the observed mean depletion time of the resource was \( \bar{x} = 32.3 \) minutes. a. In testing the production team's claim, select the appropriate alternative hypothesis, \( H_1 \) or \( H_a \): - \( \mu \neq 32.3 \) - \( \mu < 32.3 \) - \( \mu > 32.3 \) - \( \mu < 31 \) - \( \mu \neq 31 \) - \( \mu > 31 \) b. At \( \alpha = 0.04 \), determine the critical value (2 decimal places): - Critical Value = _________ c. The value of the test statistic (2 decimal places) = _________ d. At \( \alpha = 0.04 \), select the decision/conclusion: - Reject the null hypothesis - \( \bigcirc \) - Select an answer: \( \bigcirc \) - Fail to reject the null hypothesis - \( \bigcirc \) - Select an answer: \( \bigcirc \) - There is - \( \bigcirc \) - Select an answer: \( \bigcirc \) - There is not - \( \bigcirc \) - Select an answer: \( \bigcirc \) sufficient evidence to conclude that the new efficiencies introduced make the depletion of the resource slower.
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