Barron’s reported that the average number of weeks an individual is unemployed is17.5 weeks. Assume that for the population of all unemployed individuals the populationmean length of unemployment is 17.5 weeks and that the population standard deviationis 4 weeks. Suppose you would like to select a sample of 50 unemployed individuals fora follow-up study.a. Show the sampling distribution of x, the sample mean average for a sample of50 unemployed individuals.b. What is the probability that a simple random sample of 50 unemployed individualswill provide a sample mean within 1 week of the population mean?c. What is the probability that a simple random sample of 50 unemployed individualswill provide a sample mean within 1/2 week of the population mean?
Contingency Table
A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.
Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
Barron’s reported that the average number of weeks an individual is unemployed is
17.5 weeks. Assume that for the population of all unemployed individuals the population
is 4 weeks. Suppose you would like to select a sample of 50 unemployed individuals for
a follow-up study.
a. Show the sampling distribution of x, the sample mean average for a sample of
50 unemployed individuals.
b. What is the probability that a simple random sample of 50 unemployed individuals
will provide a sample mean within 1 week of the population mean?
c. What is the probability that a simple random sample of 50 unemployed individuals
will provide a sample mean within 1/2 week of the population mean?
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