Chapter 10 Sample Distribution: One Sample Mean 1. The advertised mean temperature of coffee from a national coffee shop chain is 162F and with a standard deviation is 90F, with a le skewed distribution. If you repeatedly collected 36 samples of coffee across the country, what will be the mean, standard deviation, and distribution of the sample means. a) Mean b) Standard deviation c) Distribution 2. Given a population with a mean of 420 and a standard deviation of 21 answer the following: a) Compute the mean and standard deviation of the sampling distribution of the sample mean when you plan to take an SRS of size 49. b) Repeat the calculations for a sample size of 441. c) Explain the effect of sample size increase on the mean and standard deviation of the sampling distribution. C!) Use the 95-part of the 68-95997 empirical rule to describe the differences in variability of f for the two sample sizes in parts a) and b). 3. The number of accidents per week, assumed to be X, at a hazardous intersection varies with mean 2.2 and stande deviation 1.4. This distribution takes only whole-number values, so it is certainly not normal. Let f be the average number of accidents per week at the intersection during a year (52 weeks). Which of the following is the approximate distribution of J? according to the central limit theorem? a) B(52, 0.5) b) N(2.2, 1.4) c) N(2.2, 0.194) d) 13(22, 1.4) 4. The number of accidents per week, assumed to be X, at a hazardous intersection varies with mean 2.2 and standard deviation 1.4. This distribution takes only wholenumber values, so it is certainly not normal. Let 1? be the average number of accidents per week at the intersection during a year (52 weeks). What is the approximate probability that X is less than 2? (Round answer to the nearest ten-thousandth, the fourth decimal place.)