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. Assume 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. Given this information, if the sample mean is 15.90 miles, the null hypothesis should be rejected.

Question

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Given the large difference between the sample mean (15.90 miles) and the hypothesized population mean (5.0 miles), along with a known standard deviation and a sufficiently large sample size (n = 64), the statistical evidence would likely be strong enough to reject the null hypothesis at the 0.05 significance level, indicating that the mean distance traveled to the city's greenbelt is indeed more than 5.0 miles.

The Director of the City Park and Recreation Department Claims