The manager of a car rental agency claims that the average mileage of cars rented is less than 8000. A sample of five automobiles has an average mileage of 7723, with a standard deviation of 500 miles. At level of significance equals to 0.01, is there enough evidence to reject the manager’s claim?According to a basketball coach, the mean height of all female college volleyball players is 69.5 inches. A random sample of 25 such players produced a mean height of 70.2 inches with a standard deviation of 2.1 inches. Assuming that the heights of all female college volleyball players are normally distributed, test at the 5% level of significance if their mean height is greater than 69.5 inches.

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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 manager of a car rental agency claims that the average mileage of cars rented is less than 8000. A sample of five automobiles has an average mileage of 7723, with a standard deviation of 500 miles. At level of significance equals to 0.01, is there enough evidence to reject the manager’s claim?
According to a basketball coach, the mean height of all female college volleyball players is 69.5 inches. A random sample of 25 such players produced a mean height of 70.2 inches with a standard deviation of 2.1 inches. Assuming that the heights of all female college volleyball players are normally distributed, test at the 5% level of significance if their mean height is greater than 69.5 inches.

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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