Number 5
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School
San Diego Miramar College *
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Course
121
Subject
Mathematics
Date
Feb 20, 2024
Type
html
Pages
2
Uploaded by ChiefStingrayPerson160
Student: Finzel Rapelo
Date: 09/12/23
Instructor: Annette Keddington
Course: Psych 258 42983 Online B
Assignment: Week/Chapter 3 Homework
Question content area top
Part 1
On a measure of anxiety, the mean is 8686 and the standard deviation is 1818 (scores on the measure can vary from 00 to 150150). What are the Z scores for each of the following raw scores? (a) 122122, (b) 9393 and (c) 6868.
Question content area bottom
Part 1
A Z score is the number of standard deviations the actual score is above or below the mean.
Part 2
A raw score can be changed to a Z score by subtracting the mean from the raw score, then dividing the result by the standard deviation.
Part 3
The formula to change a raw score to a Z score is given below, where X is the raw score, M is the mean, and SD is the standard deviation.
Z
equals=
StartFraction Upper X minus Upper M Over SD EndFractionX−MSD
Part 4
Identify the mean and standard deviation for the measure of anxiety.
M
equals=
8686
SD equals=
1818
Part 5
(a) Use the formula to figure the Z score for a raw score of 122122. First figure the deviation score by subtracting the mean from the raw score.
Z
equals=
StartFraction Upper X minus Upper M Over SD EndFractionX−MSD
equals=
StartFraction 122 minus 86 Over 18 EndFraction122−8618
equals=
StartFraction 36 Over 18 EndFraction3618
Part 6
Figure the Z score for a raw score of 122122 by dividing the deviation score by the standard deviation.
Z
equals=
StartFraction 36 Over 18 EndFraction3618
equals=
2.002.00
Part 7
(b) Use the formula to figure the Z score for a raw score of 9393. First figure the deviation score by subtracting the mean from the raw score.
Z
equals=
StartFraction Upper X minus Upper M Over SD EndFractionX−MSD
equals=
StartFraction 93 minus 86 Over 18 EndFraction93−8618
equals=
seven eightteenths718
Part 8
Figure the Z score for a raw score of 9393 by dividing the deviation score by the standard deviation, rounding to two decimal places.
Z
equals=
seven eightteenths718
equals=
0.390.39
Part 9
(c) Use the formula to figure the Z score for a raw score of 6868. First figure the deviation score by subtracting the mean from the raw score.
Z
equals=
StartFraction Upper X minus Upper M Over SD EndFractionX−MSD
equals=
StartFraction 68 minus 86 Over 18 EndFraction68−8618
equals=
StartFraction negative 18 Over 18 EndFraction−1818
Part 10
Figure the Z score for a raw score of 6868 by dividing the deviation score by the standard deviation.
Z
equals=
StartFraction negative 18 Over 18 EndFraction−1818
equals=
negative 1.00−1.00
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Letter
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