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 71 points out of 100 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. Complete parts a through d below. a) s this a one-tailed or two-tailed test? Explain. Choose the correct answer below. O A. This is a one-tailed test because the professor can only try the software with one class before he has to make a decision. O B. This is a two-tailed test because the professor wants to minimize the chance of a Type lerror. O C. This is a two-tailed test because the software is supposed to increase the final exam scores. O D. This is a one-tailed test because the software is supposed to increase the final exam scores. b) Write the null and alternative hypotheses. Ho:

Explanation / Answer

1. a. D. This is one tailed test because software is suppose to increase the the final exam score

b. H0; mu=71 vs H1: mu>71

In statistical hypothesis testing, a type I error is the incorrect rejection of a true null hypothesis (a "false positive"), while a type II error is incorrectly retaining a false null hypothesis (a "false negative").

c. D. Professor buys the software when it doesn't help the students.

d. A. Professor doen't buy the software when it does help the students.

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