You may need to use the appropriate appendix table or technology to answer this question.Consider the following hypothesis test.

H₀: 10

H_a: < 10

The sample size is 110 and the population standard deviation is assumed known with

= 5.

Use

= 0.05.

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

H₀?

(Round your answer to four decimal places.)

(b)What type of error would be made if the actual population mean is 9 and we conclude that

H₀: 10

is true? Type I Type II

(c)What is the probability of making a type II error if the actual population mean is 8? (Round your answer to four decimal places. If it is not possible to commit a type II error enter NOT POSSIBLE.)

https://www.webassign.net/aswsbe13/appendix-b.pdf

https://www.webassign.net/tparise/beta/stats/distributionIndex.html