a. Explanation Given info: The contingency table shows the number of U.S adults (in millions) ages 25 over by employment status and educational attainment. Calculation: From the contingency table, the number of U.S adults ages 25 and over have a degree and are unemployed is 1.9. The total number of adults is, Total numbero of adults = ( 10 .0+33 .5+21 .7+67 .1+0 .9+2 .1+ 1 .1+1 .9+12 .6+26 .4+13 .2+24 .6 ) = 215.1 The formula to find the percent the number of U.S adults ages 25 and over have a degree and are unemployed is, Percent = ( Number of U b. To determine To obtain: The percent of U.S adults ages 25 and over have some college education, but no degree, and are not in the labor force.

Elementary Statistics: Picturing the World, Books a la Carte Edition (7th Edition)

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Author: Ron Larson, Betsy Farber

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Chapter 10.2, Problem 35E

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To obtain: The percent of U.S adults ages 25 and over have a degree and are unemployed.

To determine

To obtain: The percent of U.S adults ages 25 and over have some college education, but no degree, and are not in the labor force.

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Chapter 10.2, Problem 34E

Chapter 10.2, Problem 36E

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iid 1. The CLT provides an approximate sampling distribution for the arithmetic average Ỹ of a random sample Y₁, . . ., Yn f(y). The parameters of the approximate sampling distribution depend on the mean and variance of the underlying random variables (i.e., the population mean and variance). The approximation can be written to emphasize this, using the expec- tation and variance of one of the random variables in the sample instead of the parameters μ, 02: YNEY, · (1 (EY,, varyi n For the following population distributions f, write the approximate distribution of the sample mean. (a) Exponential with rate ẞ: f(y) = ß exp{−ßy} 1 (b) Chi-square with degrees of freedom: f(y) = ( 4 ) 2 y = exp { — ½/ } г( (c) Poisson with rate λ: P(Y = y) = exp(-\} > y! y²

2. Let Y₁,……., Y be a random sample with common mean μ and common variance σ². Use the CLT to write an expression approximating the CDF P(Ỹ ≤ x) in terms of µ, σ² and n, and the standard normal CDF Fz(·).

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To obtain: The percent of U.S adults ages 25 and over have a degree and are unemployed.

Solution Summary: The author explains that the percent of U.S adults ages 25 and over have a degree and are unemployed is 0.9%.

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To obtain: The percent of U.S adults ages 25 and over have a degree and are unemployed.

To obtain: The percent of U.S adults ages 25 and over have some college education, but no degree, and are not in the labor force.

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