Consider the following hypothesis test H0 10 Ha 10 The samp
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)?
Solution
a.
error of Xbar=0.46
 HO is rejected id Xbar<=9.25
b. Type II error
c. 0.0031

