The mean score and the standard deviation in the Statistics test are respectively equal to 80 and 2.5, whereas in the Mathematics test the mean score is 70 and the standard deviation is 2. If Liza got a score of 85 in Statistics and a score or 75 in Mathematics in which subject is her standing better assuming normality in both subjects?
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Answers
Given : The mean score and the standard deviation in the Statistics test are respectively equal to 80 and 2.5, whereas in the Mathematics test the mean score is 70 and the standard deviation is 2.
Liza got a score of 85 in Statistics and a score or 75 in Mathematics
Assume normality in both subjects
To Find : in which subject is her standing better
Solution:
z score = ( Value - Mean)/ SD
Statistic
Mean = 80
SD = 2.5
score of 85 in Statistics
=> z score = ( 85 - 80)/2.5 = 2
Mathematics
Mean = 70
SD = 2
score of 75 in Mathematics
=> z score = ( 75 - 70)/2 = 2.5
2.5 > 2
Hence In Mathematics her standing is better
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