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catistics for Economics and Business
Colleen Hogan 06/16/25 11:33 PM
2 of 7
This test: 100 point(s) possible
This question: 15 point(s) possible
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Given a normal distribution with $\mu=100$ and $\sigma=20$, and given you select a sample of $n=16$, complete parts (a) through (d).
a. What is the probability that $\bar{X}$ is less than 95?
$P(\bar{X}<95)=$
(Type an integer or decimal rounded to four decimal places as needed.)
b. What is the probability that $\bar{X}$ is between 95 and 97.5?
$P(95<\bar{X}<97.5)=$
(Type an integer or decimal rounded to four decimal places as needed.)
c. What is the probability that $\bar{X}$ is above 101?
$P(\bar{X}>101)=$
(Type an integer or decimal rounded to four decimal places as needed.)
d. There is a 65% chance that $\bar{X}$ is above what value?
$\bar{X}=$
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