NASA has been working with utility companies to set up expensive power generating windmills. In order...

50.1K

Verified Solution

Question

Statistics

NASA has been working with utility companies to set upexpensive power generating windmills. In order for a site to beeffective, the average wind speed must be more than 20 mph. At aspecific site, NASA took a sample of forty-five wind speedreadings. The sample average wind speed is 21.7 mph with a standarddeviation of 4.2 mph. NASA will only build the windmill if they aresure that the true average wind speed is greater than 20 mph.
1a. Should they build the windmill? Justify byconducting a hypothesis test at Î± = 0.05.
1b. Describe in the words of the problem what making a Type Ierror would be and its likely consequences.
1c. Describe in the words of the problem what making a Type IIerror would be and its likely consequences.

Answer & Explanation Solved by verified expert

4.5 Ratings (954 Votes)

SolutionGivenn 451aThe variable here is wind speed ie x is the wind speed 217 mphS 42 mph 20 mphwe have to testvs The test statistic to test the above hypothesis is onesamplettestwith n 1 of ft 272 with 44 dfThe pvalue for above test is 00047The obtained pvalue is 005 See Answer

Get Answers to Unlimited Questions

Join us to gain access to millions of questions and expert answers. Enjoy exclusive benefits tailored just for you!

Membership Benefits:

Unlimited Question Access with detailed Answers
Zin AI - 3 Million Words
10 Dall-E 3 Images
20 Plot Generations
Conversation with Dialogue Memory
No Ads, Ever!
Access to Our Best AI Platform: Flex AI - Your personal assistant for all your inquiries!

Become a Member