Week 4 Math 225n Statistics Quiz graded A, Exams of Mathematics

Download Week 4 Math 225n Statistics Quiz graded A and more Exams Mathematics in PDF only on Docsity! Week 4 quiz 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. That is correct! Answer: 16 Boxes 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 That is correct! Answer: median= 26 thousands of dollars 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 That is correct! Answer: mode=3 cards 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: Mean: 104.25; Median: 92.5; Mode: 98. Identify the outlier and the measure of central tendency that is affected by the outlier. That is correct! 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! The data are skewed to the left. The data are skewed to the right. The data are symmetric. 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. That is correct! True 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. That is correct! 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. That is correct! Answer: 73/80 Question 13 Of the following pairs of events, which pair has mutually exclusive events? 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. Students Go to the mountai ns do not go to the mountains Tota l Go to the beach 36 Do not go to the beach 21 Total 48 95 That is correct! Answer: 10 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 Tota l Orange 12 50 62 Green 2 73 78 Total 17 123 140 That is correct! 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. Afraid of heights Not afraid of heights Total Afraid of flying 76 33 109 Not afraid of flying 82 370 452 Total 158 403 561 That is correct! Answer: 3.84 Question 17 Which of the following frequency tables show a skewed data set? Select all answers that apply. That is correct! Value Frequency 5 1 6 2 7 10 8 11 9 17 10 17 11 15 12 12 13 7 14 7 15 0 16 1 Value Frequency 5 1 Answer: Mode = 4 thousands of dollars 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.   That is correct!   Answer: 10/23 Question 23 The five-number summary for a set of data is given below. Min Q1 Median Q3 Max 60 6 5 70 7 5 87 What is the interquartile range of the set of data? That is correct! Answer: Interquartile range is 10 Question 24 The five-number summary for a set of data is given below. Min Q1 Median Q3 Max 43 4 7 53 6 2 72 What is the interquartile range of the set of data? That is correct! Answer: Interquartile range is 15 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 20 1 That is correct! Min Q1Median Q3 Max 3 5 9 15 20 Min Q1Median Q3 Max 3 10 11 17 20 Min Q1Median Q3 Max 3 5 14 15 20 Min Q1Median Q3 Max 3 6 18 17 20 Min Q1Median Q3 Max 3 6 7 14 20