In: Statistics and Probability
The test scores for the analytical writing section of a particular standardized test can be approximated by a normal distribution, as shown in the figure.
(a) What is the maximum score that can be in the bottom
20%
of scores?
(b) Between what two values does the middle
60%
of scores lie?
the mean is 3.3
the standard deviation is 0.77
* please show steps to solve for both for reference, thanks!
Refer Standard normal table/Z-table, Lookup for z-score corresponding to area 0.20 to the left of the normal curve or use excel formula "=NORM.S.INV(0.20)" to find the z-score.
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Refer Standard normal table/Z-table, Lookup for z-score corresponding to area 0.80 to the left of the normal curve or use excel formula "=NORM.S.INV(0.80)" to find the z-score.