# Problem Set 8.5

Problem Set 8.5

1. Seven students take a speed reading course in order to improve their reading ability. The reading scores of the seven before and after taking the course are given below: Note that n = 7. We will define d1 = x1 – y1. After doing the appropriate calculations, we find that . Find the 80 % confidence interval for mean of the differences, μd.

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2. A new drug for migraine headaches is introduced. The drug is tested on eight patients. The number of migraine headaches that each person got per year before and after taking the drug are given by: Note that n = 8. We will define , d1 = x1– y1. After doing the appropriate calculations, we find that. Find the 95 % confidence interval for mean of the differences, μd .

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3. A company wants to buy new accounting software for its employees. It must decide between software A and Software B. The company will decide between the two software packages based on how quickly its employees can learn how to use the software. So, seven employees are chosen to test the software packages. The number of hours that it takes each employee to learn each software package is given by: Note that . We will define , d1 = x1 – y1. After doing the appropriate calculations, we find that. Find the 80 % confidence interval for mean of the differences, μd.

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# Problem Set 8.6

Problem Set 8.6

1. Consider the following dependent random samples: a) Do hypothesis testing to see if µd < 0 at the α = .025.

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# Problem Set 8.7

Problem Set 8.7

1. You believe that husbands and wives in your town spend the same amount of time per day on the internet. You would like to test your hypothesis. So, you ask eight couples in your town how many minutes they spend per day on the internet. The results are as follows (times are given in minutes): At the 5 % level of significance, determine if husbands and wives in the town spend the same amount of time per day on the internet.

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