A Statistics professor has observed that for several years students score an ave

Question

A Statistics professor has observed that for several years students score an average of 105 points out of 150 on the semester exam. A salesman suggests that he try a statistics software package that gets students more involved with computers, predicting that it will increase students' scores. The software is expensive, and the salesman offers to let the professor use it for a semester to see if the scores on the final exam increase significantly. The professor will have to pay for the software only if he chooses to continue using it. a) Is this a one-tailed or two-tailed test? Explain. b) Write the null and alternative hypotheses. c) In this context, explain what would happen if the professor makes a Type I error. d) In this context, explain what would happen if the professor makes a Type II error. e) What is meant by the power of this test?

Explanation / Answer

a) this is one tailed (right tailed) test as reaseach hypothesis is the claim that score will increase/

b) null hypothesis mean=105

alternate hypothesis: mean>105

c)type I error : rejecting that score are 105 and accept that scores have increased from 105 level ; while it is not true

d) type II error : fail to reject that mean score is 105; while in real score has increased from 105 level

e) power : it is the probabilty of rejecting that mean score is 105 while it is false

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