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# Quiz2a_KEY_Sp10 - Name 3 February 2010 IE330 Spring 2010...

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Name: ____________________________________________ 3 February 2010 IE330 Spring 2010 Quiz #2a Confidence intervals ( 29 ( 29 2 2 2 /2 /2, 1 /2 2 2 /2, 1 1 /2, 1 1 1 ˆ ˆ (1- ) ˆ / n / n n n n n s n s p p x z x t s p z n α α α α α σ σ - - - - - - ± ± ± Χ Χ Single sample tests ( 29 0 2 2 0 0 0 0 0 0 2 0 0 0 1 / / (1 ) n S X X X np Z T Z n s n np p μ μ χ σ σ - - - - = = = = - 1

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Name: ____________________________________________ 3

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Name: ____________________________________________ 1. (10 points) If my population is normally distributed, what is the distribution of the estimate of standard deviation ? a. Standard normal b. Normal c. Chi-squared d. Binomial e. None of the above 2. (10 points) To construct a confidence interval on mean using the t-distribution, which of the following must be true (choose all that are true)? a. The observations must be independent. b. The observations must come from a standard normal distribution. c. The observations must come from a distribution with a known variance. d. None of the above is true. 3. (10 points) (TRUE or FALSE) In choosing n observations from ( 29 , N μ σ , a larger n would result in a wider confidence interval on population mean if all else is equal. 4. (35 points) Construct a 99% two-sided confidence interval on our estimate of
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