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ST 509 Sample Questions - Test 2
Topics Distribution of the sample mean. Central Limit Theorem. Confidence intervals for a population mean. Confidence intervals for a population proportion. Sample size for a given confidence level and margin of error (proportions). Poll articles. Hypotheses tests for a mean, and differences in means (independent and paired samples). Sample size and power of a test. Type I and Type II errors. You will be given a table of normal probabilities. You may wish to be familiar with the follow formulae and their application.

x ± t! 2, n"1 s

n ;

( x1 " x2 ) ± t! 2, #

2 s12 s2 + n1 n2

;

p ± z! 2

p (1" p ) n

$ z! 2 ' ; n=& p (1" p ) % m ) (

2

1. _____ A confidence interval for the mean …show more content…

_____ Referring to Question #10 above, which of the following best describes why you might be cautious in relying on these results? (A) The sample size is too small to make any reliable inference about the entire population. (B) Silly questions sometimes generate silly responses, not true opinions. (C) The respondents may not be a representative sample of any population of interest. (D) Newspapers tend to skew results to fit their own agenda.

12. _____ For a given population, confidence intervals constructed from larger samples tend to be narrower than those constructed from smaller samples. Which statement below best describes why this is true? (A) The variability of the sample mean is less for larger samples. (B) The z-value for larger samples tends to be more accurate. (C) The population variance is larger for large populations. (D) As the sample size increases, the z-value (or t-value) becomes smaller. A machine dispenses potato chips into bags that are advertised as containing one pound of product. To be on the safe side, the machine is supposed to be calibrated to dispense 16.07 ounces per bag, and from long time observation, the distribution of the fill-weights is known to be approximately normal and the process is known to have a standard deviation of 0.15 ounces.

13. _____ If the machine is properly calibrated, what proportions of bags will be underweight?

(A) 0.32 (B)

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