Statistics Module 4 Quiz Normal Curve And Z-score Calculations Help compute z-scores from raw scores, and raw scores from z-scoresdescribe the normal distr

Statistics Module 4 Quiz Normal Curve And Z-score Calculations Help compute z-scores from raw scores, and raw scores from z-scoresdescribe the normal distribution and compute areas under the normal curveutilize the z-tables to solve problems associated with percentages, percentiles, probabilities and other areas under the normal curve The questions are structured so that a single letter, word, or number will suffice. Computational
questions are arranged so that partial credit can be given for each step answered correctly.
Always use the following model to submit your answers to the questions.
EXAMPLE:
Your name:
Module Number:
Answers
Q1 C
Q2 B
Q3 A, etc.
If the question requires computation, do the calculations and then give the correct
values as follows:
(Always hold all decimal values through your computations, and round final
answers to at least two decimal places)!
Q4 7
Q5 4
Q6 22, etc.
If the question is a fill in the blank, just put in the appropriate word(s) as follows:
Q7 statistics
Q8 dependent variable, etc.
The following 11 questions (Q1 to Q11) are based on the following summarized research:
(you will need your z-tables from Howell to complete many of these questions)
A psychologist studied self-esteem scores and found the data set to be normally
distributed with a mean of 80 and a standard deviation of 8.
Part A**What raw score cuts off the bottom 33% of this distribution?
Steps:
Q1: What is the z-score that cuts off the bottom 33% of this distribution?
Q2:
What is the raw score that cuts off the bottom 33% of this distribution?
Part B**What percentage of the scores is between 88 and 92?
Steps:
Q3: What is the z-score that corresponds to the raw score of 88?
Q4:
What is the z-score that corresponds to the raw score of 92?
Q5:
What percentage of the scores is between 88 and 92?
Part C:**A raw score of 72 is associated with what percentile?
Steps:
Q6: What is the z-score associated with a raw score of 72?
Q7:
A raw score of 72 is associated with what percentile?
Part D:**What raw scores mark the middle 95% of this distribution?
Steps:
Q8: What are the z-scores that mark the middle 95% of this distribution?
Q9:
What is the raw score below the mean?
Q10: What is the raw score above the mean?
Part E:**What is the median of this distribution?
Q11: What is the median of this distribution?
The following 9 questions (Q12 to Q20) are conceptual questions based on Modules 3 and 4.
Q12: In a negatively skewed distribution, Alice scored the mean, Betty scored the median, and
Claire scored the mode. Who had the lowest score?
A. Alice
B. Betty
C. Claire
D. All three scored approximately the same
Q13: In a normal distribution, Alice scored the mean, Betty scored the median, and Claire scored
the mode. Who had the lowest score?
A. Alice
B. Betty
C. Claire
D. All three scored approximately the same
Q14: The z-distribution always has a mean of _____ and a standard deviation of _____.
A. 0; 1
B. 0; 0
C. 1; 0 D. 1; 1
Q15: A test score of 84 was transformed into a standard score of –1.5. If the standard deviation
of test scores was 4, what is the mean of the test scores?
A. 78
B. 89
C. 90 D. 88
Q16: The standard deviation for the sample numbers 8, 9, and 10 is
A. 1.0
B. .67
C. 0.0
D. –3.0
Q17: A university administrator randomly selected 10 freshmen and 10 seniors and asked them
how satisfied they are with life at Ohio University on a 1 (not at all satisfied) to 9 (very satisfied)
scale. The administrator’s date is below:
Mean
Variance
Freshmen
3
10
Seniors
8
1
These results seem to indicate that:
A. freshmen agree more with each other about their life satisfaction than do
seniors
B. seniors agree more with each other about their life satisfaction than do
freshmen
C. all freshman tend to be satisfied with life
D. freshmen and seniors experience equal life satisfaction E. none of the above
are accurate
Q18: A sample of data has a standard deviation of 10. If you were to divide all the scores in the
data set by a factor of two (2), what would the new standard deviation be?
A. 10
B. 7.5
C. 5
D. 2.5
E. none of the above
The following 2 questions (Q19 to Q20) are either “True” or “False”
Q19: The two parameters that completely characterize a standardized normal distribution are
“μ” and “σ”.
Q20: The variance for a set of data can be a negative value.

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