Below is a file with instructions.

For sections 2.4(#37) and 2.5 (#45) you must use the excel file attached to answer the questions. The first screenshot (88) isfor 2.4 (#37) and the third file of screenshot (89) is for 2.5

Claudia Pena

September 10, 2023

BUS219

Chapter 2 – Book Exercises

2.1

#1 Fifty pro-football rookies were rated on a scale of 1 to 5, based on performance at a training camp as well as on past performance. A ranking of 1 indicated a poor prospect, whereas a ranking of 5 indicated an excellent prospect. The following frequency distribution was constructed.

Rating

Frequency

1

4

2

10

3

14

4

18

5

4

a.) How many of the rookies received a rating of 4 or better? How many of the rookies received a rating of 2 or worse?

· The rookies who received a rating of 4+ are 22 and the ones who received a rating of 2 or worse are 14.

b.) Construct the relative frequency distribution. What proportion received a rating of 5?

·

c.) Construct a bar chart. Comment on the findings.

·

2.2

#13 The following contingency table shows inspection records for 630 units of a particular product. The records have been cross-classified by the inspector’s decision (Pass and Fail) and the inspector’s experience (Low, Medium, and High).

Experience

Decision

Low

Medium

High

Pass

152

287

103

Fail

16

46

26

a.) How many of the units passed inspection? How many of the units failed inspection?

·

b.) How many of the units were inspected by inspectors with high experience?

·

c.) What proportion of the units were inspected by inspectors with low experience?

·

d.) What proportion of the units were inspected by inspectors with medium experience and failed inspection?

·

2.3

#20 Consider the following frequency distribution:

Interval

Frequency

1,000 < x ≤ 1,100

22

1,100 < x ≤ 1,200

38

1,200 < x ≤ 1,300

44

1,300 < x ≤ 1,400

16

a.) Construct the relative frequency distribution. What proportion of the observations are more than 1,100 but no more than 1,200?

·

b.) Construct the cumulative frequency distribution. How many of the observations are 1,300 or less?

·

c.) Construct the cumulative relative frequency distribution. What proportion of the observations are 1,300 or less? More than 1,300?

·

2.4

#37 FILE Test_Scores. The accompanying table shows a portion of midterm and final grades for 32 students.

Student

Final

Midterm

1

86

78

2

94

97

32

91

47

a.) Construct a scatterplot of Final against Midterm. Describe the relationship.

2.5

#45 FILE Exercise_2.45 . The accompanying data file contains 20 observations for Variable X.

Construct a stem-and-leaf diagram. What are the lowest and highest observations?

Is the distribution symmetric? Explain.