For each of the following scenarios, say whether the data should be treated as i
ID: 3070491 • Letter: F
Question
For each of the following scenarios, say whether the data should be treated as independent or paired samples. Explain briefty. If paired, explain what the pairing involves. a) 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. O A. The data should be treated as independent samples because the samples are random. B. The data should be treated as paired samples. Each pair consists of a volunteer using each chair. O C The data should be treated as paired samples. Each pair consists of the number or correct words typed each minute. b) 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 OA. The data should be treated as independent samples because the samples are random within each nelghborhood. O B. The data should be treated as paired samples. Each pair consists ofthe mean prices of different neighborhoods. O C. The data should be treated as paired samples. Each pair consists of the price of a house in each of the neighborhoods. c) 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 answer below. O A. The data should be treated as independent samples because the samples are random. O B. The data should be treated as paired samples. Each pair consists of two hours in which the number of items produced is compared O C. The data should be treated as paired samples. Each pair consists of an hour in which the productivity of the two workers is compared.Explanation / Answer
a)
This data should be treated as paired because the same volunteer has used the two different chairs and reading are recored.
Option C
b)
The data should be treated as independent samples because the samples are within each neighborhood
Option A
c)
The data should be treated as independent samples because the samples are random
Option A
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