A training director for a large company has been told that, on completion of the training course, the average score of her trainees on the final evaluation should be 100. Her only concern is whether she will have to begin remedial steps to ensure that the population of trainees is not below standard. She draws a random sample of 10 scores of recent trainees:94,98,101,90,86,102,95,100, 98, and 92.

(a) State the null and alternative hypotheses best suited to the nature of her inquiry.Test the null hypothesis

(b) at the .05 level of significance and state your conclusions and

(c) at the .01 level of significance c12.qx and state your conclusions.

(d) What is the probability of obtaining through random sampling a sample mean as low or lower if X is as stated in the null hypothesis?