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University of The Cumberlands Compute the Values Statistics Questions

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Questions:

Question1. Find the mean, median and mode of these numbers: 9, 11, 12, 10, 12, 11, 8, 12, 10, 11, 12

Round all answers to the hundreth place.

Question 2. Find the mean, median and mode of these numbers: 9, 10, 9, 9, 11, 9, 10, 9, 9, 10

Round all answers to the hundreth place.

Question 3:

3B

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

201

40

180

60

185

64

190

64

185

68

187

70

179

72

177

Question 4:

A department chair in an academic department wanted to know if there was a difference between spring and fall enrollment in his department. The department offered the same six courses both semesters. What test should he conduct to determine if there is a significant difference in the enrollment between the semesters? Write up the results and determine what do the results mean?

Here is the data set:

Spring

Fall

50

40

28

42

30

44

39

45

40

25

25

30

Question 5:

A superintendent wanted to know if there was a difference among staff retention at elementary, middle, and high schools in her district. Here are the data:

Elementary Middle Secondary
27 17 10
25 12 12
30 10 14
17 8 16
14 5 18
20 20
10

What test should she conduct to determine if there is a difference among the levels? What do the results mean? Please write up your results according to the handbook and describe any follow up or additional statistical analysis, if necessary.

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