A manufacturing firm has adopted a new layout for its production process, which is intended to increase worker productivity. With the old layout, mean daily output was 200 units. A manager wants to test the null hypothesis that with the new layout, mean daily output is no greater than 200, against the alternative hypothesis that it is greater than 200. Assume that daily output levels are approximately normally distributed, with standard deviation 18 units. Which sampling distribution is the basis for this hypothesis test? Letter (see multiple choices in the instructions)

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26-07-2022
Mathematics

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A manufacturing firm has adopted a new layout for its production process, which is intended to increase worker productivity. With the old layout, mean daily output was 200 units. A manager wants to test the null hypothesis that with the new layout, mean daily output is no greater than 200, against the alternative hypothesis that it is greater than 200. Assume that daily output levels are approximately normally distributed, with standard deviation 18 units. Which sampling distribution is the basis for this hypothesis test? Letter (see multiple choices in the instructions)

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joaobezerra joaobezerra · Answer 1 · 2022-07-27T19:19:05+02:00

Since the standard deviation for the population is known, the z-distribution is used as the sampling distribution basis for this hypothesis test.

When to use the t-distribution and the z-distribution?

If the population standard deviation is known, the z-distribution is used.

If the population standard deviation is not known, only the sample standard deviation, the t-distribution is used.

In this problem, the standard deviation for the population is known, hence the z-distribution is used.

More can be learned about which distribution to use, the t-distribution or the z-distribution, at https://brainly.com/question/15869521

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