Consider the following hypothesis test. Họ: u 2 10 Ha: u < 10 The sample size is 120 and the population standard deviation is assumed known with o = 6. Use a = .05. a. If the population mean is 9, what is the probability that the sample mean leads to the conclusion do not reject Ho (to 4 decimals)? .0336 b. What type of error would be made if the actual population mean is 9 and we conclude that Họ: µ 2 10 is true? Type II error ♥ c. What is the probability of making a Type II error if the actual population mean is 8 (to 4 decimals)? .0113

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Help with part a and c

Consider the following hypothesis test.
Но: и2 10
На: и < 10
The sample size is 120 and the population standard deviation is assumed known with o = 6. Use a = .05.
a. If the population mean is 9, what is the probability that the sample mean leads to the conclusion do not reject Ho (to 4
decimals)?
.0336
b. What type of error would be made if the actual population mean is 9 and we conclude that Ho: µ 2 10 is true?
Туре II error
c. What is the probability of making a Type II error if the actual population mean is 8 (to 4 decimals)?
.0113
Transcribed Image Text:Consider the following hypothesis test. Но: и2 10 На: и < 10 The sample size is 120 and the population standard deviation is assumed known with o = 6. Use a = .05. a. If the population mean is 9, what is the probability that the sample mean leads to the conclusion do not reject Ho (to 4 decimals)? .0336 b. What type of error would be made if the actual population mean is 9 and we conclude that Ho: µ 2 10 is true? Туре II error c. What is the probability of making a Type II error if the actual population mean is 8 (to 4 decimals)? .0113
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