PAM2100_Prelim_2 - PAM 2100 Prelim #2 NAME: _ TA:_...

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PAM 2100 – Prelim #2 NAME: ________________________ TA:________________________ Section:__________ 1. A or C (2) 2. C (2) 3. B (2) 4. A (2) 5. D (2) 6. B (2) 7. C (2) 8. C (2) 9. D (2) 10. a. μ =2.55 σ =1.236 (3) b. 0.47 (2) 11. a. 13 (2) b. 12.5 (3) 12. a. 11.9% (2) b.4.67% (3) 13. a. 99.01% (4) b. Increase the sample size (1) 14. a. ܪ : ߤ ൒ 1 ܪ :ߤ൏1 (2) b. 0.0392________________________ (2) c. Fail to reject the hypothesis that ߤ൒1 at the 1% significance level __________ (2) 15. a. ܪ : ߤ ൌ 1850 ܪ : ߤ ് 1850 (2) b. t * =2.00; t crit =1.69 (2) c. Since ݐ כ ൐ݐ ௖௥௜௧ we reject the hypothesis that ߤ ൌ 1850 at the 10% significance level. (2) 16. a. 0.6 േ 0.096 (2) b. 142 (2) 17. Room is given in the exam to answer this question. (2) BONUS: 50% (2)
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INSTRUCTIONS: Complete all questions. You must write your answer on the front page of the exam. You must also write your name and section number. The first ten questions are multiple choice, and are worth 2 point each. The point for the following 1. For a uniform probability density function of x, a. the height of the function cannot be larger than one. b. the height of the function is the same for all values of x. c. the height of the function is different for various values of x. d. the height of the function decreases as x increases. 2. Which of the following statements about a discrete random variable and its probability distribution must be true? a. Values of the random variable can never be negative b. Some negative values of p(x) are allowed as long as ∑ ݌ሺݔሻൌ1 c. Values of p(x) must be greater than or equal to zero. d. The values of p(x) increase to a maximum point then decrease. e. None of the above answers are correct. 3. Whenever p=0.40, the binomial distribution will be a. Symmetric b. Approximately symmetric if n is large c. Highly right skewed d. Highly left skewed. 4. Suppose we draw several different samples of a size n from a large population. Each time we draw a sample, we determine a 95% confidence interval for the population mean. Which of the following statements is true? a. If the population standard deviation is known, all confidence intervals will have the same width. b. If the population standard deviation is known, all confidence intervals will have both the same midpoint and the same width. c. If the population standard deviation is not known, all confidence intervals will have different midpoints but equal widths d. None of the above answers is correct.
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5. Larger values of the standard deviation result in a normal distribution curve that is a. Shifted to the right b. Shifted to the left c. Narrower and more peaked d. Wider and flatter e. None of the above answers is correct. 6.
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PAM2100_Prelim_2 - PAM 2100 Prelim #2 NAME: _ TA:_...

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