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Use the following information to answer the next flue exerrises’ Of 1,050 randomly selected adults. 360 identified themselves as manual laborers, 280 identified themselves as non-manual wage earners. 250 identified themselves as mid- level managers, and 160 identified themselves as executives. In the survey, 82% of manual laborers preferred trucks, 620% of non-manual wage earners preferred trucks, 5-1% of mid-level managers preferred trucks, and 26% of executives preferred trucks.
71.. Construct a 95% confidence interval. State the confidence interval, sketch the graph, and calculate the error bound.
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Chapter 8 Solutions
Introductory Statistics
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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! y²arrow_forward2. 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(·).arrow_forwardmatharrow_forward
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