Infer Stats in Decision-Making

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Over the past decade, ABC Manufacturing has increased the number of safety inspections per month in hopes to decrease the number accidents on their production line.  Below is a list of how many inspections were conducted in a month and the corresponding number of accidents recorded.  Is there a correlation, and has this leadership decision been effective?

Inspections

Accidents

20

181

24

190

28

167

40

160

60

120

64

124

64

118

68

90

70

94

72

85

A marketing team conducted a survey of 300 people to see if a person’s age affected their brand choice.  People under the age of twenty-five made the following choices: Brand A (25), Brand B (42), Brand C (33).  People over 65 made the following selections: Brand A (20), Brand B (38), Brand C (42).  The group between those ages made these choices: Brand A (44), Brand B(40), Brand C (16).  Form your  hypotheses, run the appropriate test, and provide a conclusion to the marketing team. 

Two schedules for giving rest were compared—the massed schedule and the spaced schedule. Twenty observations of the spaced schedule produced a mean of 26 errors. On the massed schedule 14 observations resulted in a mean of 36 errors. An α level of .05 was adopted and an F = 4.21 was obtained. What conclusion is appropriate?

· spaced practice produces fewer errors than massed practice.

· none of the choices are correct

· the null hypothesis should be retained

· massed practice produces fewer errors than spaced practice

With an acknowledgment to Sesame Street, "Which of these things is not like the others, which of these things doesn't belong?"

· matched pairs

· independent samples

· natural pairs

· repeated measures