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

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 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. O B. The data should be treated as paired samples. Each pair consists of the number of correct words typed each minute ° C. The data should be treated as paired samples. Each pair consists of a volunteer using each chair 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 equ al. Choose the correct answer below A. O B. ° C. The data should be treated as paired samples. Each pair consists of the mean prices of different neighborhoods The data should be treated as paired samples. Each pair consists of the price of a house in each of the neighborhoods The data should be treated as independent samples because the samples are random within each neighborhood 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 0 A. O B. C. 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 an hour in which the productivity of the two workers is compared The data should be treated as paired samples. Each pair consists of two hours in which the number of items produced is compared

Explanation / Answer

a)

Since Here we have to know the number of correct word typed in 2 min by same persons once on old chair and once on second chair so its paired values for Person

Hence

Option (C) is correct

b)

Since one neighbourhood price is independent of other hence

Optio (C) is correct

c)

Since Each worker capacity is independent of other so

Option (A) is correct

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