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Identify each measurement below as being based on a quantitative or categorical variable. For quantitative variables identify the lower and upper limits of the measurement.

Kind of variable Limits

a. 3, pounds of chocolate ___ ___

b. 309.23, the designation for

an adjustment disorder with

academic inhibition ___ ___

c. 10, miles per hour ___ ___

Identify each measurement below as being based on a quantitative or categorical variable. For quantitative variables identify the lower and upper limits of the measurement.

Kind of variable Limits

a. 6, the number of colors the patient could identify ___ ___

b. 8, identification for King College among

private schools in Canada ___ ___

c. 811.1, the identification of America’s authors

of poetry in the Dewey Decimal system ___ ___

d. 49, the decibels registered on a sound meter ___ ___

A program admissions coordinator wanted to know if the math placement test given to a certain cohort of students was an indicator on how well they would perform on their first exam. She records the scores of their placement test and first exam below. Is there a correlation between these measures?

Placement

Exam 1

11

49

27

71

7

60

33

85

28

80

23

75

20

61

48

100

35

71

26

81

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

87

30

90

35

56

40

48

45

39

50

50

55

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

17 17 10

15 12 12

20 10 14

12 8 16

14 5 18

15 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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