For each of the following scenarios, say whether the data should be treated as i

ID: 3153370 • Letter: F

Question

For each of the following scenarios, say whether the data should be treated as independent or paired samples. Explain briefly. If paired, explain what the pairing involves. An efficiency expert claims that a new ergonomic desk chair makes typing at a computer terminal easier and faster. To test it, 15 volunteers are selected. Using both the new chair and their old chair, each volunteer types a randomly selected passage for 2 minutes and the number of correct words typed is recorded. Choose the correct answer below. The data should be treated as paired samples. Each pair consists of a volunteer using each chair. The data should be treated as independent samples because the samples are random. The data should be treated as paired samples. Each pair consists of the number of correct words typed each minute. A developer wants to know if the houses in two different neighborhoods have the same mean price. She selects 10 houses from each neighborhood at random and tests the null hypothesis that the means are equal. Choose the correct answer below. The data should be treated as paired samples. Each pair consists of the mean prices of different neighborhoods. The data should be treated as independent samples because the samples are random within each neighborhoods. The data should be treated as paired samples. Each pair consists of the price of a house in each of the neighborhoods. A manager wants to know if the mean productivity of two workers is the same. For a random selection of 30 hours in the past month, he compares the number of items produced by each worker in that hour. Choose the correct

Explanation / Answer

Answer to part a)

Each reading relates to the same volunteer

the same volumteer, first uses one chair and then the other , and the observation of both for the same volunteer are compared

this is called Paired samples

In this it consists of same volunteer

hence answer choice A is correct

part b)

10 random houses are selected , and they are compared for mean prices

these houses are not connected to each other

Hence they form independent samples

Thus the correct answer choice is B

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For each of the following scenarios, say whether the data should be treated as i

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For each of the following scenarios, say whether the data should be treated as i

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