MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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section 10.4

 

High-power experimental engines are being developed by the Stevens Motor Company for use in its new sports coupe. The engineers have
calculated the maximum horsepower for the engine to be 590 HP. Twenty-five engines are randomly selected for horsepower testing. The
sample has an average maximum HP of 580 with a standard deviation of 45 HP. Use the confidence interval approach to determine
whether the data suggest that the average maximum HP for the experimental engine is significantly different from the maximum
horsepower calculated by the engineers. Use a significance level of a = 0.01. Assume the population of the maximum horsepower of
engines is normally distributed.
Step 1 of 2: Calculate a confidence interval for the average maximum HP for the experimental engine. Round your answers to two
decimal places.
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Transcribed Image Text:High-power experimental engines are being developed by the Stevens Motor Company for use in its new sports coupe. The engineers have calculated the maximum horsepower for the engine to be 590 HP. Twenty-five engines are randomly selected for horsepower testing. The sample has an average maximum HP of 580 with a standard deviation of 45 HP. Use the confidence interval approach to determine whether the data suggest that the average maximum HP for the experimental engine is significantly different from the maximum horsepower calculated by the engineers. Use a significance level of a = 0.01. Assume the population of the maximum horsepower of engines is normally distributed. Step 1 of 2: Calculate a confidence interval for the average maximum HP for the experimental engine. Round your answers to two decimal places. Answer Tables Keypad Keyboard Shortcuts
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Step 2 of 2: Draw a conclusion and interpret the decision.
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O
Because the hypothesized value falls in the interval, we fail to reject the null hypothesis. There is not sufficient evidence at the
0.01 significance level that the average maximum HP is different from the maximum HP calculated by the engineers.
Because the hypothesized value does not fall in the interval, we fail to reject the null hypothesis. There is not sufficient evidence at the
0.01 significance level that the average maximum HP is different from the maximum HP calculated by the engineers.
Because the hypothesized value falls in the interval, we reject the null hypothesis. There is sufficient evidence at the 0.01 significance
level that the average maximum HP is different from the maximum HP calculated by the engineers.
Because the hypothesized value does not fall in the interval, we reject the null hypothesis. There is sufficient evidence at the
0.01 significance level that the average maximum HP is different from the maximum HP calculated by the engineers.
expand button
Transcribed Image Text:Step 2 of 2: Draw a conclusion and interpret the decision. Answer Tables Keypad Keyboard Shortcuts previous step answer O Because the hypothesized value falls in the interval, we fail to reject the null hypothesis. There is not sufficient evidence at the 0.01 significance level that the average maximum HP is different from the maximum HP calculated by the engineers. Because the hypothesized value does not fall in the interval, we fail to reject the null hypothesis. There is not sufficient evidence at the 0.01 significance level that the average maximum HP is different from the maximum HP calculated by the engineers. Because the hypothesized value falls in the interval, we reject the null hypothesis. There is sufficient evidence at the 0.01 significance level that the average maximum HP is different from the maximum HP calculated by the engineers. Because the hypothesized value does not fall in the interval, we reject the null hypothesis. There is sufficient evidence at the 0.01 significance level that the average maximum HP is different from the maximum HP calculated by the engineers.
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Follow-up Questions
Read through expert solutions to related follow-up questions below.
Follow-up Question
Step 2 of 2: Draw a conclusion and interpret the decision.
Answer
Tables
Keypad
Keyboard Shortcuts
previous step answer
O
Because the hypothesized value falls in the interval, we fail to reject the null hypothesis. There is not sufficient evidence at the
0.01 significance level that the average maximum HP is different from the maximum HP calculated by the engineers.
Because the hypothesized value does not fall in the interval, we fail to reject the null hypothesis. There is not sufficient evidence at the
0.01 significance level that the average maximum HP is different from the maximum HP calculated by the engineers.
Because the hypothesized value falls in the interval, we reject the null hypothesis. There is sufficient evidence at the 0.01 significance
level that the average maximum HP is different from the maximum HP calculated by the engineers.
Because the hypothesized value does not fall in the interval, we reject the null hypothesis. There is sufficient evidence at the
0.01 significance level that the average maximum HP is different from the maximum HP calculated by the engineers.
expand button
Transcribed Image Text:Step 2 of 2: Draw a conclusion and interpret the decision. Answer Tables Keypad Keyboard Shortcuts previous step answer O Because the hypothesized value falls in the interval, we fail to reject the null hypothesis. There is not sufficient evidence at the 0.01 significance level that the average maximum HP is different from the maximum HP calculated by the engineers. Because the hypothesized value does not fall in the interval, we fail to reject the null hypothesis. There is not sufficient evidence at the 0.01 significance level that the average maximum HP is different from the maximum HP calculated by the engineers. Because the hypothesized value falls in the interval, we reject the null hypothesis. There is sufficient evidence at the 0.01 significance level that the average maximum HP is different from the maximum HP calculated by the engineers. Because the hypothesized value does not fall in the interval, we reject the null hypothesis. There is sufficient evidence at the 0.01 significance level that the average maximum HP is different from the maximum HP calculated by the engineers.
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