Hi, Just want to know if I got A and B right. and I need help with C A-) 79, 85,

Question

Hi, Just want to know if I got A and B right. and I need help with C

A-) 79, 85, 75, 93, 60, 69, 86, 82, 80, 86, 98, 79. Enter the data into SPSS. Use SPSS to find the mean and standard deviation of the data set. Then by hand, calculate the z score of someone who got a 75 on the exam. By hand, also calculate the z score of someone who got a 70 on the exam. Show all of your work.

Z= 81.0000 ÷ 10.13545 = 7.9917517229

B-) Here are some data that represent a set of scores on a different exam (let’s call it ‘Exam 2’): 56, 48, 75, 48, 55, 68, 83, 70, 66, 71, 75. Enter the data into SPSS. Use SPSS to find the mean and standard deviation of the data set. Then by hand, calculate the z score of someone who got a 75 on this exam. By hand, also calculate the z score of someone who got a 70 on this exam. Show all of your work.

Z= 65.0000 ÷ 11.63615 =5.5860400562

C-) For raw scores of 75 and 70, are the corresponding z scores from ‘Exam 1’ the same or different from those of ‘Exam 2’? If they are different, how are they different? Why should they be same or different?

Explanation / Answer

A-) 79, 85, 75, 93, 60, 69, 86, 82, 80, 86, 98, 79. Enter the data into SPSS. Use SPSS to find the mean and standard deviation of the data set. Then by hand, calculate the z score of someone who got a 75 on the exam. By hand, also calculate the z score of someone who got a 70 on the exam. Show all of your work.

Descriptive Statistics

N

Minimum

Maximum

Mean

Std. Deviation

exam1

12

60.00

98.00

81.0000

10.13545

Z for x=75,z =(75-81)/10.13545 = -0.591982

Z for x=70,z =(70-81)/10.13545 = -1.0853

B-) Here are some data that represent a set of scores on a different exam (let’s call it ‘Exam 2’): 56, 48, 75, 48, 55, 68, 83, 70, 66, 71, 75. Enter the data into SPSS. Use SPSS to find the mean and standard deviation of the data set. Then by hand, calculate the z score of someone who got a 75 on this exam. By hand, also calculate the z score of someone who got a 70 on this exam. Show all of your work.

Descriptive Statistics

N

Minimum

Maximum

Mean

Std. Deviation

exam2

11

48.00

83.00

65.0000

11.63615

Z for x=75, z =(75-65)/11.63615 = 0.8593908

Z for x=70, z =(70-65)/11.63615 = 0.4296954

C-) For raw scores of 75 and 70, are the corresponding z scores from ‘Exam 1’ the same or different from those of ‘Exam 2’? If they are different, how are they different? Why should they be same or different?

The z scores are different.

Z scores of exam2 are relatively higher than the scores of exam1.

The scores 75 and 70 for exam 1 are lower than the mean ( they are negative), the scores are above mean for exam2.

Descriptive Statistics

N

Minimum

Maximum

Mean

Std. Deviation

exam1

12

60.00

98.00

81.0000

10.13545

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