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 that generate electricity. Wind speeds must average more than 10miles per hour (mph) for a site to be acceptable. Recently, the organization conducted wind speed tests at a particular site under construction for a wind machine.
 To determine whether the site meets the organization's requirements, consider the test, H0:u = 10 vs Ha:u >10, where u is the true mean wind speed at the site and a=.10. suppose the onserved significance level(p-value) of the tesr is calculated to be p=0.2807. imterpret this result based on the p value of 0.2807.
a. since p value greatly exceeds a=.0.10 there is strong evidence to reject the null hypothesis
b. since the p value exceeds a=.10, there is insufficient evidence to reject the null hypothesis
c. the probability of rejecting the null hypothesis is 0.2807
d. we are 71.93% confident that u=10.
2) a national organization has been working with utilities throughout the nation to find sites for large wind machines that generate electricity power. wind speeds must average more than 20 miles per hour ( mph) for a site to be acceptable. recently, the organization conducted testw at a particular site under construction for a wind machine. based on a sample n=41 wind speed recordings at the site ,the wind speeds averaged x bar=19.1 mph, with a standard deviation of s=3.8 mph. to determine whether the site meets the organization's requirements, consider the test, H0:u=20 vs Ha:u>20, where u is the true mean wind speed at the site and a=0.01.calculate the value of the test statistic
-9.71
-2.96
-1.52
-18.93

Explanation / Answer

To determine whether the site meets the organization's requirements, consider the test, H0:u = 10 vs Ha:u >10, where u is the true mean wind speed at the site and a=.10. suppose the onserved significance level(p-value) of the tesr is calculated to be p=0.2807. imterpret this result based on the p value of 0.2807.
a. since p value greatly exceeds a=.0.10 there is strong evidence to reject the null hypothesis

2) a national organization has been working with utilities throughout the nation to find sites for large wind machines that generate electricity power. wind speeds must average more than 20 miles per hour ( mph) for a site to be acceptable. recently, the organization conducted testw at a particular site under construction for a wind machine. based on a sample n=41 wind speed recordings at the site ,the wind speeds averaged x bar=19.1 mph, with a standard deviation of s=3.8 mph. to determine whether the site meets the organization's requirements, consider the test, H0:u=20 vs Ha:u>20, where u is the true mean wind speed at the site and a=0.01.calculate the value of the test statistic

t = 19.1 - 20 / (3.8 / srfqt 41)

t =-1.52

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