A leading magazine (like Barron's) reported at one time that the average number of weeks an individual is unemployed is 30 weeks. Assume that for the population of all unemployed individuals the population mean length of unemployment is 30 weeks and that the population standard deviation is 2.7 weeks. Suppose you would like to select a random sample of 70 unemployed individuals for a follow-up study. Find the probability that a single randomly selected value is greater than 29.3. P(X > 29.3) = (Enter your answers as numbers accurate to 4 decimal places.) Find the probability that a sample of size n = 70 is randomly selected with a mean greater than 29.3. P(X> 29.3) = (Enter your answers as numbers accurate to 4 decimal places.)

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A leading magazine (like Barron's) reported at one time that the average number of weeks an
individual is unemployed is 30 weeks. Assume that for the population of all unemployed individuals
the population mean length of unemployment is 30 weeks and that the population standard
deviation is 2.7 weeks. Suppose you would like to select a random sample of 70 unemployed
individuals for a follow-up study.
Find the probability that a single randomly selected value is greater than 29.3.
P(X > 29.3) =
(Enter your answers as numbers accurate to 4 decimal places.)
Find the probability that a sample of size n =
70 is randomly selected with a mean greater than
29.3.
P(X> 29.3) =
(Enter your answers as numbers accurate to 4 decimal places.)
Transcribed Image Text:A leading magazine (like Barron's) reported at one time that the average number of weeks an individual is unemployed is 30 weeks. Assume that for the population of all unemployed individuals the population mean length of unemployment is 30 weeks and that the population standard deviation is 2.7 weeks. Suppose you would like to select a random sample of 70 unemployed individuals for a follow-up study. Find the probability that a single randomly selected value is greater than 29.3. P(X > 29.3) = (Enter your answers as numbers accurate to 4 decimal places.) Find the probability that a sample of size n = 70 is randomly selected with a mean greater than 29.3. P(X> 29.3) = (Enter your answers as numbers accurate to 4 decimal places.)
Business Weekly conducted a survey of graduates from 30 top MBA programs. On the basis of the
survey, assume the mean annual salary for graduates 10 years after graduation is 122000 dollars.
Assume the standard deviation is 42000 dollars. Suppose you take a simple random sample of 70
graduates.
Find the probability that a single randomly selected policy has a mean value between 108948.1 and
120996 dollars.
P(108948.1 < X< 120996) =
(Enter your answers as numbers accurate to 4 decimal places.)
Find the probability that a random sample of size n =
70 has a mean value between 108948.1 and
120996 dollars.
P(108948.1 < X< 120996) =
(Enter your answers as numbers accurate to 4 decimal places.)
Transcribed Image Text:Business Weekly conducted a survey of graduates from 30 top MBA programs. On the basis of the survey, assume the mean annual salary for graduates 10 years after graduation is 122000 dollars. Assume the standard deviation is 42000 dollars. Suppose you take a simple random sample of 70 graduates. Find the probability that a single randomly selected policy has a mean value between 108948.1 and 120996 dollars. P(108948.1 < X< 120996) = (Enter your answers as numbers accurate to 4 decimal places.) Find the probability that a random sample of size n = 70 has a mean value between 108948.1 and 120996 dollars. P(108948.1 < X< 120996) = (Enter your answers as numbers accurate to 4 decimal places.)
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