The director of the city Park and Recreation Department claims that the mean distance people travel to the city's greenbelt is more than 5.0 miles. Assuming that the population standard deviation is known to be 1.2 miles and the significance level to be used to test the hypothesis is 0.05 when a sample size of n = 64 people are surveyed, the probability of a Type II error is approximately .4545 when the "true" population mean is 5.5 miles.

Question

Quizplus · Accepted Answer

The probability of a Type II error (β) in hypothesis testing is not directly given in the scenario described. Instead, it requires calculation based on the significance level (α), the population standard deviation (σ), the sample size (n), and the difference between the hypothesized mean and the true mean. The value .4545 seems to be incorrectly attributed without showing the necessary statistical calculations or context.

The Director of the City Park and Recreation Department Claims