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Statistics - Clark Heter and Number of Accidents

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1. Clark Heter is an industrial engineer at Lyons Products. He would like to determine whether there are more units produced on the night shift than on the day shift. Assume the population standard deviation for the number of units produced on the day shift is 21 and 28 on the night shift. A sample of 54 day-shift workers showed that the mean number of units produced was 345. A sample of 60 nigh-shift workers showed that the mean number of units produced was 351. At the .05 significance level, is the number of units produced on the night shift larger?

2. A number of minor automobile accidents occur at various high-risk intersections in Teton County despite traffic lights. The Traffic Department claims that a modification in the type of light will reduce these accidents. The county commissioners have agreed to a proposed experiment. Eight intersections were chosen at random, and the lights at those intersections were modified. The numbers of minor accidents during a six-month period before and after the modifications were:

Number of Accidents
A B C D E F G H
Before Modification 5 7 6 4 8 9 8 10
After Modification 3 7 7 0 4 6 8 2

At the .01 significance level is it reasonable to conclude that the modification reduced the number of traffic accidents?

3. The following data on annual rates of return were collected from five stocks listed on the New York Stock Exchange ( "the big board") and five stocks listed on NASDAQ. Assume the population standard deviation are the same. At the .10 significance level, can we conclude that the annual rates of return are higher on the big board?

NYSE NASDAQ

17.16 15.80
17.08 16.28
15.51 16.21
8.43 17.97
25.15 7.77

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https://brainmass.com/statistics/hypothesis-testing/245610

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The number of units produced on a night shift larger with 0.05 significance level is determined. The number of accidents during the night shift before and after the modification during a six-month period are calculated.

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