Question 1
A significance level for a hypothesis test is given as
. Interpret this value.
◦ The probability of making a Type II error is .99.
◦ The smallest value of
α that you can use and still reject
H0 is .01.
◦ There is a 1% chance that the sample will be biased.
◦ The probability of making a Type I error is .01.
Question 2
A national organization has been working with utilities throughout the nation to find sites for large wind machines that generate electricity. Wind speeds must average more than 12 miles per hour (mph) for a site to be acceptable. Recently, the organization conducted wind speed tests at a particular site. Based on a sample of
wind speed recordings (taken at random intervals), the wind speed at the site averaged
with a standard deviation of
To determine whether the site meets the organization's requirements, consider the test,
where μ is the true mean wind speed at the site and
Fill in the blanks. "A Type I error in the context of this problem is to conclude that the true mean wind speed at the site _____ 12 mph when it actually _____ 12 mph."
◦ equals; equals
◦ exceeds; exceeds
◦ exceeds; equals
◦ equals; exceeds
Smoky Mountains National Park
Experimental identification of “coupling sites"
John Muir (right) with President Roosevelt at Yosemite National Park
To find the derivative use product rule