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 500HP500⁢HP. Sixteen engines are randomly selected for horsepower testing. The sample has an average maximum HP of 530530 with a standard deviation of 50HP50⁢HP. Assume the population is normally distributed. Step 2 of 2 : 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. 1. Because the hypothesized value does not fall in the interval, we fail to reject the null hypothesis. There is not sufficient evidence at the 0.10.1 significance level that the average maximum HP is different from the maximum HP calculated by the engineers. 2. Because the hypothesized value falls in the interval, we reject the null hypothesis. There is sufficient evidence at the 0.10.1 significance level that the average maximum HP is different from the maximum HP calculated by the engineers. 3. Because the hypothesized value does not fall in the interval, we reject the null hypothesis. There is sufficient evidence at the 0.10.1 significance level that the average maximum HP is different from the maximum HP calculated by the engineers. 4. Because the hypothesized value falls in the interval, we fail to reject the null hypothesis. There is not sufficient evidence at the 0.10.1 significance level that the average maximum HP is different from the maximum HP calculated by the engineers.

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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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 500HP500⁢HP. Sixteen engines are randomly selected for horsepower testing. The sample has an average maximum HP of 530530 with a standard deviation of 50HP50⁢HP. Assume the population is normally distributed.

Step 2 of 2 :

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.

1. Because the hypothesized value does not fall in the interval, we fail to reject the null hypothesis. There is not sufficient evidence at the 0.10.1 significance level that the average maximum HP is different from the maximum HP calculated by the engineers.
2. Because the hypothesized value falls in the interval, we reject the null hypothesis. There is sufficient evidence at the 0.10.1 significance level that the average maximum HP is different from the maximum HP calculated by the engineers.
3. Because the hypothesized value does not fall in the interval, we reject the null hypothesis. There is sufficient evidence at the 0.10.1 significance level that the average maximum HP is different from the maximum HP calculated by the engineers.
4. Because the hypothesized value falls in the interval, we fail to reject the null hypothesis. There is not sufficient evidence at the 0.10.1 significance level that the average maximum HP is different from the maximum HP calculated by the engineers.

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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