Course Title: Applied Statistics for managers It is desired to test HO: µ = 60 against Ha: u = 60, using a = .10. The population in question is uniformly distributed with standard deviation 22.5. A...


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

Extracted text: Course Title: Applied Statistics for managers It is desired to test HO: µ = 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?

Jun 11, 2022
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