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 _________.