Statistics > EXAMs > Statistics Fundamentals Unit 2 Challenge 3,100% CORRECT (All)

Statistics Fundamentals Unit 2 Challenge 3,100% CORRECT

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Which of these statements about a normally distributed data set is FALSE? • a.) Mean, median and mode are the same value. • b.) It is not symmetric around the center. • c.) 50% of the valu ... es are smaller than the mean value. • d.) 50% of the values are greater than the mean value. At a nearby frozen yogurt shop, the mean cost of a pint of frozen yogurt is $1.50 with a standard deviation of $0.10. Assuming the data is normally distributed, approximately what percent of customers are willing to pay between $1.30 and $1.70 for a pint of frozen yogurt? • a.) 99.7% • b.) 68% • c.) 34% • d.) 95% The sales data for July and August of a frozen yogurt shop are approximately normal. The mean daily sales for July was $270 with a standard deviation of $30. On the 15th of July, the shop sold $315 of yogurt. The mean daily sales for August was $250 with a standard deviation of $25. On the 15th of August, the shop sold $300 of yogurt. Which month had a higher z-score for sales on the 15th, and what is the value of that z-score? • a.) July, with a z-score of 1.8. • b.) July, with a z-score of 1.5. • c.) August, with a z-score of 2. • d.) August, with a z-score of 1.67. The standard deviation of any standard normal distribution is __________. • a.) 1 • b.) 2 • c.) 0 • d.) 0.5 Consider a set of cards that has four cards labeled 1, 3, 5, and 7. Suppose you pick two cards, without replacement, and obtain the mean of the two numbers that are drawn from the set. Which of the following tables shows the sampling distribution? • a.) Sample (n = 2) x̄ S1 = {1, 3} 2 S2 = {1, 5} 3 S3 = {1, 7} 4 S4 = {3, 5} 4 S5 = {3, 7} 5 S6 = {5, 7} 6 • b.) Sample (n = 2) x̄ S1 = {1, 3} 2 S2 = {1, 5} 3 S3 = {3, 5} 4 S4 = {3, 7} 5 S5 = {5, 5} 5 S6 = {5, 7} 6 • c.) Sample (n = 2) x̄ S1 = {1, 1} 1 S2 = {1, 3} 2 S3 = {3, 3} 3 S4 = {3, 5} 4 S5 = {5, 5} 5 S6 = {7, 7} 7 • d.) Sample (n = 2) x̄ S1 = {1, 1} 1 S2 = {1, 3} 2 S3 = {1, 5} 3 S4 = {1, 7} 4 S5 = {3, 7} 5 S6 = {5, 7} 6 Let x stand for the sale of candy bars by an individual student. 60 students are sampled at a time. The population mean is 40 candy bars and the population standard deviation is 3 candy bars. What is the mean and standard deviation of the sampling distribution of sample means? Answers are rounded to the nearest tenth. • a.) mean = 40, standard deviation = 3 • b.) mean = 5.2, standard deviation = 0.39 • c.) mean = 5.2, standard deviation = 3 • d.) mean = 40, standard deviation = 0.39 If repeated samples of yogurt sales were taken, according to the Central Limit Theorem, the mean of those repeated samples would tend to be normally distributed if the sample size is large enough. Because the sample population is ________, it is safe to apply the Central Limit Theorem, even if the sample size for each sample is 15. • a.) uniformly distributed • b.) positively distributed • c.) normally distributed • d.) negatively distributed [Show More]

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