In: Statistics and Probability
A leading magazine (like Barron's) reported at one time that the
average number of weeks an individual is unemployed is 36.3 weeks.
Assume that for the population of all unemployed individuals the
population mean length of unemployment is 36.3 weeks and that the
population standard deviation is 7.5 weeks. Suppose you would like
to select a random sample of 124 unemployed individuals for a
follow-up study.
Find the probability that a single randomly selected value is
between 35.8 and 36.1.
P(35.8 < X < 36.1) =
Find the probability that a sample of size n=124 is randomly
selected with a mean between 35.8 and 36.1.
P(35.8 < M < 36.1) =
Refer Standard normal table/Z-table to find the probability or use excel formula "=NORM.S.DIST(-0.0267, TRUE)" & "=NORM.S.DIST(-0.0667, TRUE)" to find the probability.
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Refer Standard normal table/Z-table to find the probability or use excel formula "=NORM.S.DIST(-0.2969, TRUE)" & "=NORM.S.DIST(-0.7424, TRUE)" to find the probability.