A national organization has been working with utilities throughout the nation to

Question

A national organization has been working with utilities throughout the nation to find sites for large wind machines for generating electric power. Wind speeds must average more than 17 miles per hour (mph) for a site to be acceptable. Recently, the organization conducted test at a particular site under construction for a wind machine. Based on a sample of n = 99 wind speed recordings (taken at random intervals) at the site, the wind speeds averaged x = 16.2 mph, with a standard deviation of = 3.3 mph. To determine whether the site meets the organization's requirements, consider the test, H_0: mu = 17 vs. H_a: mu > 17, where mu 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 calculate that the true mean wind speed at the site _____ 17 mph when it actually _____ 17 mph." equals; equals exceeds; equals exceeds; exceeds equals; exceeds An industrial supplier has shipped truckload of teflon lubricant cartridges to an aerospace customer. The customer has been assured that the mean weight of these cartridges is in excess if the 12 ounces printed on each cartridge. To check this claim, a sample of n = 15 cartridges are randomly selected from the shipment and carefully weighed. Summary statistics for the sample are x = 12.13, and s = 30 ounce. To determine whether the supplier's claim is true, consider the test H_0: mu = 12 vs H_a: mu > 12, where mu is the true mean weight of the cartridges. Find the rejection region for the test using a = 0.01 if the t-test is applied. t > 2.977, where t depends on 14 df z > 2.33 |z| > 2.58 t > 2.624

Explanation / Answer

a)true mean wind speed at the ste exceeds 17 when it actually equals 17 mph

8)as it is one tailed test ; option D t>2.624 is correct

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