Question

A researcher claims that the average wind speed in a certain city is 6 miles per hour. A sample of 33 days has an average wind speed of 6.5 miles per hour. The standard deviation of the population is 1 mile per hour. At 0.07 significance level, is there enough evidence to reject the claim? Determine the null hypothesis, the p-value, and state your conclusion.

Answer 1

Solution:

Given :

n = 33 sample size of wind speed.

Population mean of wind speed.

sample mean of wind speed.

. Population standard deviations of wind speed.

. Level of significance .

To test the hypothesis

. Vs.   

Test statistic

Z = 2.8722822

Test statistic Z = 2.87

P Value = 0.0042 from Z table

Decision : P Value

Reject Ho.

Conclusion : There is sufficient evidence to conclude that the average wind speed in a certain city is 6 miles per hour.