Write the sentence as an equation. The quotient of 14 and the number is 1/7 ?
1 answer:
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Answer:
The mean of this distribution is 36 years of age.
Step-by-step explanation:
Problems of normally distributed samples are solved using the z-score formula.
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.
In this problem, we have that:
There is a 0.02275 probability that the age of any randomly chosen person in the department is less than 22.
This means that when X = 22, Z has a pvalue of 0.02275. So when X = 22,
So
0.15866 probability that the age of any randomly chosen person is greater than 43.
Tis means that when X = 43, Z has a pvalue of 1-0.15866 = 0.84134. So when X = 43,
So
We have that:
So
What is the mean of this distribution?
The mean of this distribution is 36 years of age.