# A distribution of raw scores is positively skewed

Question 1

5 out of 5 points

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A distribution of raw scores is positively skewed. You want to transform it so that it is normally distributed. Your friend, who fancies herself a statistics whiz, advises you to transform the raw scores to z scores; that the z scores will be normally distributed. You should _________.

Question 2

5 out of 5 points

An economics test was given and the following sample scores were recorded:

Individual

A

B

C

D

E

F

G

H

I

J

Score

12

12

7

10

9

12

13

8

9

8

The z score for individual E is _________.

Question 3

5 out of 5 points

The standard deviation of the z distribution equals _________.

Question 4

5 out of 5 points

A testing bureau reports that the mean for the population of Graduate Record Exam (GRE) scores is 500 with a standard deviation of 90. The scores are normally distributed.

The proportion of scores that lie between 460 and 600 is _________.

Question 5

0 out of 5 points

A stockbroker has kept a daily record of the value of a particular stock over the years and finds that prices of the stock form a normal distribution with a mean of $8.52 with a standard deviation of $2.38.

The stock price beyond which 0.05 of the distribution falls is _________.

Question 6

0 out of 5 points

On a test with a population mean of 75 and standard deviation equal to 16, if the scores are normally distributed, what percentage of scores fall between 70 and 80?

Question 7

5 out of 5 points

A distribution has a mean of 60.0 and a standard deviation of 4.3. The raw score corresponding to a z score of 2.02 is _________.

Question 8

5 out of 5 points

Assuming the z scores are normally distributed, what is the percentile rank of a z score of -0.47?

Question 9

5 out of 5 points

Makaela took a Spanish exam; her grade was 79. The distribution was normally shaped with = 70 and s = 12. Juan took a History exam; his grade was 86. The distribution was normally shaped with = 80 and s = 8. Which did better on their exam relative to those taking the exam?

Question 10

5 out of 5 points

In a normal distribution approximately _________ of the scores will fall within 1 standard deviation of the mean.

Question 11

5 out of 5 points

The z score corresponding to a raw score of 120 is _________.

Question 12

5 out of 5 points

On a test with a population mean of 75 and standard deviation equal to 16, if the scores are normally distributed, what is the percentile rank of a score of 56?

Question 13

5 out of 5 points

A stockbroker has kept a daily record of the value of a particular stock over the years and finds that prices of the stock form a normal distribution with a mean of $8.52 with a standard deviation of $2.38.

The percentage of scores that lie between $9.00 and $10.00 is _________.

Question 14

5 out of 5 points

In a normal curve, the inflection points occur at _________.

Question 15

5 out of 5 points

If you transformed a set of raw scores, and then added 15 to each z score, the resulting scores _________.

Question 16

0 out of 5 points

Given the following set of sample raw scores, X: 1, 3, 4, 6, 8. What is the z transformed value for the raw score of 3?

Question 17

5 out of 5 points

A set of raw scores has a rectangular shape. The z transformed scores for this set of raw scores has a _________ shape.

Question 18

5 out of 5 points

An economics test was given and the following sample scores were recorded:

Individual

A

B

C

D

E

F

G

H

I

J

Score

12

12

7

10

9

12

13

8

9

8

The standard deviation of the distribution is _________.

Question 19

5 out of 5 points

How much would your income be if its z score value was 2.58?

Question 20

5 out of 5 points

A testing bureau reports that the mean for the population of Graduate Record Exam (GRE) scores is 500 with a standard deviation of 90. The scores are normally distributed.

The percentile rank of a score of 667 is _________.