Find the indicated z score shaded area is 0.4013
Asked by maham237 @ in Mathematics viewed by 303 People
Find the indicated z score. The graph depicts the standard normal distribution with mean 0 and standard deviation 1.
Shaded area is 0.4013.
Answered by maham237 @
Answer:
Z = -0.25
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, which is also the shaded area under the normal table, 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.
In this problem:
The z-score is the value of Z which has a pvalue of 0.4013. Looking at the z-table, Z = -0.25
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