# 20 you use the finite population correction factor

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20. You use the finite population correction factor when A. you sample without replacement and the sample size is larger than 5% of the population size. B. you sample without replacement and the sample size is smaller than 5% of the population size. C. you sample with replacement and the sample size is larger than 5% of the population size. D. you sample with replacement and the sample size is smaller than 5% of the population size. PART B: PROBLEM SOLVING QUESTIONS (10 Marks Each) 1. The table below contains the opinions of a sample of 200 people broken down by gender about the latest congressional plan to eliminate anti-trust exemptions for professional baseball. For Neutral Against Totals Female 38 54 12 104 Male 12 36 48 96 Totals 50 90 60 200 a) Construct a table of row percentages. 2 marks b) Of those for the plan in the sample, what percent were females? 2 marks c) Of the females in the sample, what percent were either neutral or against? 2 marks d) What percent of the 200 were males who were neutral? 2 marks e) Assuming the sample is a good representation of the population, what percent of the females in the population is expected to be not against the plan? 2 marks Answers a) For Neutral Against Totals Female 36.54 51.92 11.54 100.00 Male 12.50 37.50 50.00 100.00 Totals 25.00 45.00 30.00 100.00 b) 76 c) 63.46 or (51.92 + 11.54) d) 18 e) 88.46 or (36.54 + 51.92) 2. In a recent academic year, many public universities in the United States raised tuition and fees due to a decrease in state subsidies. The change in the cost of tuition, a shared dormitory room, and the most popular meal plan from the previous academic year for a sample of 10 public universities were as follows: \$1,589, \$593, \$1,223, \$869, \$423, \$1,720, \$708, \$1,425, \$922 and \$308. a) What is the mean and median change in the cost? 2 marks b) What is the standard deviation of the change in the cost? 2 marks c) What is the interquartile range of the change in the cost? 2 marks This study resource was shared via CourseHero.com
STAT101, Midterm Test 5 d) What is the coefficient of variation of the change in cost? 1 mark e) Is the change in the cost right- or left-skewed? 2 marks f) If kurtosis statistic of the change in the cost is -1.32, is the change in the cost lepokurtic or platykurtic? 1 mark Answers a) \$978, \$895.5 b) \$491.8 c) \$832 d) 50.29% e) right-skewed f) platykurtic 3. According to the record of the registrar's office at a state university, 35% of the students are freshman, 25% are sophomore, 16% are junior and the rest are senior. Among the freshmen, sophomores, juniors and seniors, the portion of students who live in the dormitory are, respectively, 80%, 60%, 30% and 20%. a) What is the probability that a randomly selected student is a sophomore who does not live in a dormitory? 2 marks b) What is the probability that a randomly selected student is a junior or senior who lives in a dormitory? 2 marks c) What percentage of the students live in a dormitory? 2 marks d) If a randomly selected student lives in the dormitory, what is the probability that the student is not a freshman? 2 marks e)