Course Title: Applied Statistics for managers It is desired to test HO: 60 against Ha: = 60, using a = .10. The population in question is uniformly distributed with standard deviation 22.5. A random sample of size 81 will be drawn from the population. a. Describe the (approximate) sampling distribution of x under the assumption that HO is true. b. Describe the (approximate) sampling distribution of x under the assumption that the population mean is 55. c. If u were really equal to 55, what is the probability that the hypothesis test would lead the investigator to commit a Type Il error? d. What is the power of this test for detecting the alternative Ha: u = 55?
Course Title: Applied Statistics for managers It is desired to test HO: 60 against Ha: = 60, using a = .10. The population in question is uniformly distributed with standard deviation 22.5. A random sample of size 81 will be drawn from the population. a. Describe the (approximate) sampling distribution of x under the assumption that HO is true. b. Describe the (approximate) sampling distribution of x under the assumption that the population mean is 55. c. If u were really equal to 55, what is the probability that the hypothesis test would lead the investigator to commit a Type Il error? d. What is the power of this test for detecting the alternative Ha: u = 55?
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Author:Amos Gilat
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Transcribed Image Text:Course Title: Applied Statistics for managers
It is desired to test HO: u = 60 against Ha: u = 60, using a = .10. The population in
question is uniformly distributed with standard deviation 22.5. A random sample of size
81 will be drawn from the population.
a. Describe the (approximate) sampling distribution of x under the assumption that HO is
true.
b. Describe the (approximate) sampling distribution of x under the assumption that the
population mean is 55.
c. If u were really equal to 55, what is the probability that the hypothesis test would lead
the investigator to commit a Type Il error?
d. What is the power of this test for detecting the alternative Ha: u = 55?
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