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Normal Distribution Test
Test Description: Normal distribution, empirical rule, z-scores
Instructions: Answer all questions to get your test result.
1) A set of data with a mean of 48 and standard deviation of 4 is normally distributed. What value is +1 standard deviation from the mean?
A
52
B
36
C
44
D
56
2) A set of data with a mean of 48 and standard deviation of 4 is normally distributed. What value is -3 standard deviations from the mean?
A
52
B
36
C
44
D
56
3) A set of data with a mean of 48 and standard deviation of 4 is normally distributed. What value is +2 standard deviations from the mean?
A
52
B
44
C
56
D
36
4) A set of data with a mean of 48 and standard deviation of 4 is normally distributed. What value is -1 standard deviation from the mean?
A
44
B
36
C
56
D
52
5) A set of data with a mean of 48 and standard deviation of 4 is normally distributed. Between what two values do 68% of data lie?
A
44-52
B
none
C
40-56
D
36-60
6) A set of data with a mean of 48 and standard deviation of 4 is normally distributed. Between what two values do 95% of data lie?
A
36-60
B
none
C
40-56
D
44-52
7) A set of data with a mean of 48 and standard deviation of 4 is normally distributed. Between what two values do 99.7% of data lie?
A
40-56
B
36-60
C
none
D
44-52
8) A set of data with a mean of 48 and standard deviation of 4 is normally distributed. Find the z-score for 38.
A
-2.5
B
-0.75
C
1.5
D
3.25
9) A set of data with a mean of 48 and standard deviation of 4 is normally distributed. Find the z-score for 45.
A
-0.75
B
-2.5
C
3.25
D
1.5
10) A set of data with a mean of 48 and standard deviation of 4 is normally distributed. Find the z-score for 61.
A
3.25
B
1.5
C
-2.5
D
-0.75
*select an answer for all questions
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