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lamondrairving
14.07.2020 •
Mathematics
Scores on Ms. Bond's test have a mean of 70 and a standard deviation of 11. David has a score of 52 on Ms. Bond's test. Scores on Ms. Nash's test have a mean of 64 and a standard deviation of 6. Steven has a score of 52 on Ms. Nash's test. Which student has the higher standardized score
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Ответ:
Due to the higher z-score, David has the higher standardized score
Step-by-step explanation:
Z-score:
In a set with mean
and standard deviation
, the zscore of a measure X is given by:
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
Which student has the higher standardized score
Whoever had the higher z-score.
David:
Scores on Ms. Bond's test have a mean of 70 and a standard deviation of 11. David has a score of 52 on Ms. Bond's test. So![X = 52, \mu = 70, \sigma = 11](/tpl/images/0704/8823/a320c.png)
Steven:
Scores on Ms. Nash's test have a mean of 64 and a standard deviation of 6. Steven has a score of 52 on Ms. So![X = 52, \mu = 64, \sigma = 6](/tpl/images/0704/8823/a0dff.png)
Due to the higher z-score, David has the higher standardized score
Ответ:
5. b1= 8, b2= 11+9=20, h= 15, A= 210
8. b1= 4, b2= 10, h= 5.2, A= 36.4
9. b1= 7, b2= 13, h= 4.2, A= 42