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?

 

Expert Answer

Want to see the step-by-step answer?

Check out a sample Q&A here.

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

Hypothesis Testing

Other

Related Statistics Q&A

Find answers to questions asked by students like you.

Q: Suppose the horses in a large stable have a mean weight of 1128lbs, and a standard deviation of 58lb...

A:  

Q: We have a dataset with n = 10 pairs of observations (ri, Y;), and Σ 683, ) = 813, > ) TiYi = 56, 089...

A: Click to see the answer

Q: Three randomly selected households are surveyed. The numbers of people in the households are 4, 5, a...

A: a.   From the given information,   Sample Number Sample Median for each sample 4 (4,4)...

Q: 1. Nine hundred (900) teenage boys and 1500 teenage girls were randomly selected for a STEPS survey ...

A: Given: Sample size of teenage boys (n1) = 900 Sample size of teenage girls (n2)= 1500 Number of peop...

Q: Since 1999, The Harris Poll has conducted an annual survey to measure the reputations of the most vi...

A: The interval scale is a quantitative measurement and It has equal units of measurement however, zero...

Q: Question 67

A: As you have asked for question 67, I am solving only that question.

Q: 4–46. Pierre operates a currency exchange office at Orly Airport in Paris. Hisoffice is open at nigh...

A: Obtain the required amount of dollars to carry. The required amount of dollars to carry is obtained ...

Q: The better-selling candies are often high in calories. Assume that the following data show the calor...

A: Click to see the answer

Q: In one town, 66% of adults have health insurance. What is the probability that 4 adults selected at ...

A: It is given that, in a town 66% of the adults have health insurance.