How many of the units passed inspection

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Reference no: EM133516057

Assignment

Question I. 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.

	Experience
Decision	Low	Medium	High
Pass	152	287	103
Fail	16	46	26

1. 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.

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

3. Construct a bar chart. Comment on the findings.

Question II. 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

1. How many of the units passed inspection? How many of the units failed inspection?

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

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

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

Question III. 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

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

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

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

Question IV. FILETest_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

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

Question V. 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.

Reference no: EM133516057

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