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 power. wind speeds must average more than 17miles 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 n=42 wind speed recordings at the site ,the wind speeds averaged x bar=16 mph, with a standard deviation of s=4.1 mph. to determine whether the site meets the organization's requirements, consider the test, H0:u=17 vs Ha:u>17, where u is the true mean wind speed at the site and a=0.01.calculate the value of the test statistic.
-3.20
-20.74
-1.58
-10.24

2) the owner of Get-A-away travel has recently surveyed a random sample of 249 customers of the agency. he would like to determine whether or not the mean age of the agency's customers is over 29m if so he plans to alter the destination of their special cruises and tours. if not, no changes will be made. the appropriate hypotheses are H0:u=29,Ha:u>29. of he concludes the mean age is over 29 when it is not, he makes a --- error. if he concludes the mean age is not over 29 when it is, he makes a --- erroe.
a. typeII,typeII
b. typeI,typeI
c.typeII,typeI
d.typeI,typeII

Explanation / Answer

based on a sample n=42 wind speed recordings at the site ,the wind speeds averaged x bar=16 mph, with a standard deviation of s=4.1 mph. to determine whether the site meets the organization's requirements, consider the test, H0:u=17 vs Ha:u>17, where u is the true mean wind speed at the site and a=0.01.calculate the value of the test statistic

t = ( 16 - 17 ) / ( 4.1 / srqt 42 )

t = -1.58

if not, no changes will be made. the appropriate hypotheses are H0:u=29,Ha:u>29. of he concludes the mean age is over 29 when it is not, he makes a type II error. if he concludes the mean age is not over 29 when it is, he makes a type I erroe.

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