Consider the following hypothesis test. H0: 10 Ha: < 10 The sample size is 120 a

Question

Consider the following hypothesis test.

H0: 10
Ha: < 10

The sample size is 120 and the population standard deviation is assumed known with = 5. Use  = .05.

a. If the population mean is 9, what is the probability that the sample mean leads to the conclusion do not reject H0 (to 4 decimals)?

b. What type of error would be made if the actual population mean is 9 and we conclude that H0: 10 is true?
SelectType I errorType II errorItem 2

c. What is the probability of making a Type II error if the actual population mean is 8 (to 4 decimals)?

Explanation / Answer

a.

error of Xbar=0.46
HO is rejected id Xbar<=9.25

b. Type II error

c. 0.0031

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