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?

MATLAB: An Introduction with Applications
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  1. 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?
  2. 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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