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6. A math test was given...

6. A math test was given with the following results: (6 points)

70, 46, 82, 71, 48, 30, 99, 72, 80, 85, 42, 60, 39, 86, 47, 68

Find the range, standard deviation, and variance for the scores.

7. Answer the following: (3 points)

a. What does it mean to say that x = 17 has a standard score of -0.3?

b. What does it mean to say that a particular value of x has a z-score of +5.7?

c. In general, what is the standard score a measure of?

8. A student scored 81 percent on a test, and was in the 67th percentile. Explain these two numbers. (2 points)

9. An animal trainer obtained the following data (Table A) in a study of reaction times of dogs (in seconds) to a specific stimulus. He then selected another group of dogs that were much older than the first group and measure their reaction times to the same stimulus. The data is shown in Table B. (8 points)

Table A Table B

Classes Frequency Classes Frequency

2.3-2.9 18 2.3-2.9 4

3.0-3.6 14 3.0-3.6 7

3.7-4.3 11 3.7-4.3 9

4.4-5.0 10 4.4-5.0 22

5.1-5.7 3 5.1-5.7 17

5.8-6.4 2 5.8-6.4 7

Find the variance and standard deviation for the two distributions above. Compare the variation of the data sets. Decide if one data set is more variable than the other.

10. You are given the following data. (9 points)

Number of Absences Final

Grade

0 97

1 90

2 75

2 82

3 77

3 68

4 60

5 58

6 46

a. Make a scatter plot for the data.

b. Find the correlation coefficient for the data.

c. Find the equation for the regression line for the data, and predict the final grade of a student who misses 3.5 days.

70, 46, 82, 71, 48, 30, 99, 72, 80, 85, 42, 60, 39, 86, 47, 68

Find the range, standard deviation, and variance for the scores.

7. Answer the following: (3 points)

a. What does it mean to say that x = 17 has a standard score of -0.3?

b. What does it mean to say that a particular value of x has a z-score of +5.7?

c. In general, what is the standard score a measure of?

8. A student scored 81 percent on a test, and was in the 67th percentile. Explain these two numbers. (2 points)

9. An animal trainer obtained the following data (Table A) in a study of reaction times of dogs (in seconds) to a specific stimulus. He then selected another group of dogs that were much older than the first group and measure their reaction times to the same stimulus. The data is shown in Table B. (8 points)

Table A Table B

Classes Frequency Classes Frequency

2.3-2.9 18 2.3-2.9 4

3.0-3.6 14 3.0-3.6 7

3.7-4.3 11 3.7-4.3 9

4.4-5.0 10 4.4-5.0 22

5.1-5.7 3 5.1-5.7 17

5.8-6.4 2 5.8-6.4 7

Find the variance and standard deviation for the two distributions above. Compare the variation of the data sets. Decide if one data set is more variable than the other.

10. You are given the following data. (9 points)

Number of Absences Final

Grade

0 97

1 90

2 75

2 82

3 77

3 68

4 60

5 58

6 46

a. Make a scatter plot for the data.

b. Find the correlation coefficient for the data.

c. Find the equation for the regression line for the data, and predict the final grade of a student who misses 3.5 days.

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