# A researcher has heard that the average wind speed in a certain city is 8 miles per hour. He wants to see whether it is different. A random sample of 32 days has an average wind speed of 8.2 miles per hour. Suppose the population standard deviation is 0.6 mile per hour. At α=0.05, is there enough evidence to reject the claim? Use p-value to take the decision.  Construct a 92% interval estimate for the average wind speed of the city.  What is the probability of being able to statistically determine a true change in the wind speed of magnitude 1.5 in either direction?

Question

A researcher has heard that the average wind speed in a certain city is 8 miles per hour. He wants to see whether it is different. A random sample of 32 days has an average wind speed of 8.2 miles per hour. Suppose the population standard deviation is 0.6 mile per hour. At α=0.05, is there enough evidence to reject the claim? Use p-value to take the decision.

Construct a 92% interval estimate for the average wind speed of the city.

What is the probability of being able to statistically determine a true change in the wind speed of magnitude 1.5 in either direction?

### Want to see this answer and more?

Experts are waiting 24/7 to provide step-by-step solutions in as fast as 30 minutes!*

*Response times may vary by subject and question complexity. Median response time is 34 minutes for paid subscribers and may be longer for promotional offers.
Tagged in
Math
Statistics

### Other 