MATH 225N Week 4 Statistics Quiz – Question and Answers (Chamberlain College of Nursing)., Exams of Nursing

Download MATH 225N Week 4 Statistics Quiz – Question and Answers (Chamberlain College of Nursing). and more Exams Nursing in PDF only on Docsity! MATH 225N Week 4 Statistics Quiz – Question and Answers (Chamberlain College of Nursing). Question 1 Alice sells boxes of candy at the baseball game and wants to know the mean number of boxes she sells. The numbers for the games so far are listed below. 16,14,14,21,15 Find the mean boxes sold. Question 2 Given the following list of prices (in thousands of dollars) of randomly selected trucks at a car dealership, find the median. 20,46,19,14,42,26,33 Question 3 Each person in a group shuffles a deck of cards and keeps selecting a card until a queen appears. Find the mode of the following number of cards drawn from a deck until a queen appears. 3,12,3,11,5,5,3,10,12 Question 4 The dataset below represents bugs found by a software tester in her product during different phases of testing: 88, 84, 81, 94, 91, 98, 98, 200. The measures of central tendency are given below: That is correct! Answer: 16 Boxes That is correct! Answer: median=26 thousands of dollars That is correct! Answer: mode=3 cards Mean: 104.25; Median: 92.5; Mode: 98. Identify the outlier and the measure of central tendency that is affected by the outlier. The outlier is 98. The mode is affected by the outlier. The outlier is 98. The mean is affected by the outlier. The outlier is 200. The median is affected by the outlier. The outlier is 200 . The mean is affected by the outlier. Question 5 Given the following histogram, decide if the data is skewed or symmetrical. A bar graph has a horizontal axis titled Values labeled from 2 to 18 in increments of 2 and a vertical axis titled Frequency labeled from 0 to 200 in increments of 50. 14 bars are plotted, above the numbers 2 to 16. From left to right, the heights of the bars are as follows: 1. 5. 10. 40, 75, 125, 190, 180, 130, 125, 60, 25,20, 10. All values are approximate. That is correct! That is correct! number summary: 44, 69, 77, 82, and 112. The box-and-whisker plot above the class label B has the following five-number summary: 19, 64, 78, 87, and 121. The box-and-whisker plot above the class label C has the following five-number summary: 60, 72, 75, 80, and 92. The box-and-whisker plot above the class label D has the following five-number summary: 2, 63, 77, 92, and 138. All values are approximate. A B C D Question 8 The box-and-whisker plot shows the number of books read by history students during the last school year. A box and whisker plot with minimum 4, first quartile 6, median 8, third quartile 10, and maximum 15 What is the range of the data? That is correct! Answer: 11 Question 9 A random sample of house sizes in major city has a sample mean of x¯=1204.9 sq ft and sample standard deviation of s=124.6 sq ft. Use the Empirical Rule to determine the approximate percentage of house sizes that lie between 955.7and 1454.1 sq ft. Round your answer to the nearest whole number (percent). Answer: 95% That is correct! That is correct! Question 10 Is the statement below true or false? Independent is the property of two events in which the knowledge that one of the events occurred does not affect the chance the other occurs. False Question 11 Brayden tosses a coin 500 times. Of those 500 times, he observes heads a total of 416 times. Calculations show that the probability of this occurring by chance is less than 0.01, assuming the coin is fair. Determine the meaning of the significance level. We expect that 416 of every 500 coin tosses will result in heads. At the 0.01 level of significance, the coin is likely not a fair coin. There is certainty that the coin is not a fair coin. The results are not statistically significant at the 0.05 level of significance. Question 12 A spinner contains the numbers 1 through 80. What is the probability that the spinner will land on a number that is not a multiple of 11? • Give your answer in fraction form. Question 13 Of the following pairs of events, which pair has mutually exclusive events? That is correct! True That is correct! That is correct! Answer: 73/80 That is correct! rolling a sum greater than 7 from two rolls of a standard die and rolling a 4 for the first throw drawing a 2 and drawing a 4 with replacement from a standard deck of cards rolling a sum of 9 from two rolls of a standard die and rolling a 2 for the first roll drawing a red card and then drawing a black card with replacement from a standard deck of cards Question 14 Fill in the following contingency table and find the number of students who both go to the beach AND go to the mountains. Question 15 A group of 140 students at an elementary school were asked if they prefer the color orange to the color green. The results are shown in the table below. Given that a randomly selected survey participant is a male, what is the probability that this student prefers the color green? • Enter your answer as a fraction. Male Female Total Orange 12 50 62 Green 2 73 78 Total 17 123 140 Answer: 5/17 Question 16 Researchers want to study whether or not a fear of flying is related to a fear of heights. They surveyed a large group of people and asked them whether or not they had a fear of flying and whether or not they had a fear of heights. The data are shown in the contingency table below. What is the relative risk of being afraid of heights for those who are afraid of flying? Round your answer to two decimal places. That is correct! Students Go to the mountains do not go to the mountains Total Go to the beach 36 Do not go to the beach 21 Total 48 95 That is correct! Answer: 10 Answer: Variance = 18 Question 20 A poll was conducted during the final game of the basketball season to determine whether fans wanted to see the defending champions win the game or the challenging team win the game. From the poll, 216 of the 374 residents sampled from urban areas want the defending champions to win the game. In more rural areas, 304 of the 466 residents polled want the defending champions to win the game. Assuming location has nothing to do with team preference, the probability that the data gathered was the result of chance is calculated to be 0.03. What is the correct interpretation of this calculation? More people from rural areas want the defending champions to win the game. Exactly 216 out of every 374 urban residents want the defending champions to win the game. The results are statistically significant at the 0.05 level of significance in showing that the proportion of people in rural areas who want the defending champions to win the game is different than the proportion of people in urban areas. The data is not statistically significant at the 0.05 level of significance in showing that the proportion of people in rural areas who want the defending champions to win the game is different than the proportion of people in urban areas. Question 21 Find the mode of the following amounts (in thousands of dollars) in savings accounts of randomly selected people aged 25-30. 8,6,8,7,2,2,2,4,4,4,4,7 Question 22 A deck of cards contains red cards numbered 1,2,3,4,5, blue cards numbered 1,2,3,4,5,6,7,8 and green cards numbered 1,2,3,4,5,6,7,8,9,10. If a single card is picked at random, what is the probability that the card is green? • Give your answer as a fraction. • Answer: 10/23 That is correct! • That is correct! • That is correct! That is correct! Answer: Mode = 4 thousands of dollars Question 23 The five-number summary for a set of data is given below. Min Q1 Median Q3 Max 60 65 70 75 87 What is the interquartile range of the set of data? Question 24 The five-number summary for a set of data is given below. Min Q1 Median Q3 Max 43 47 53 62 72 What is the interquartile range of the set of data? Question 25 The following frequency table summarizes a set of data. What is the five-number summary? Value Frequency 3 3 5 2 10 1 13 1 14 3 15 3 16 1 That is correct! Answer: Interquartile range is 10 That is correct! Answer: Interquartile range is 15 20 1 Min Q1 Median Q3 Max 3 5 9 15 20 Min Q1 Median Q3 Max 3 10 11 17 20 Min Q1 Median Q3 Max 3 5 14 15 20 Min Q1 Median Q3 Max 3 6 18 17 20 Min Q1 Median Q3 Max 3 6 7 14 20 That is correct!