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The 400meter race times at a state track meet are normally distributed with a mean of 52.71 seconds and a standard deviation of 3.8 seconds. Using the Standard Normal Probabilities table, what is the approximate probability that a runner chosen at random will have a 400meter time less than 53.4 seconds? (5 points) A a 0.8186 A b 0.2451 A c 0.4286 A d 0.5714 A e 0.7549 The salaries, in thousands of dollars, of all individuals employed at a shipping company are depicted in the boxplot below. 20 30 4O 50 60 7O 80 90 100 110 What is the interquartile range (IQR) of the salaries? (4 points) A a 10 O b 25 O c 35 A 70 0 e 100 Which of the following variables can be classified as categorical? (4 points) I. Exam letter grade II. Time spent on exam Ill. Class population IV. Phone number CI a I only 0 b land IV only O C II and I\" only '0 d II, III, and IV e IV only The boxplot below displays the average number of apple pies consumed in eating contests across a particular state. The higher outlier is from a professional, heavyweight contests, and the lower outlier is from a children's eating contest. X X 10 1 20 30 140 50 60 What effect will removing all outliers have on the mean and median of the data set? (5 points) O a Neither the mean nor the median will change. Ob The mean will remain unchanged and the median will increase. O c The mean will remain unchanged and the median will decrease. Od The median will remain unchanged and the mean will increase. O e The median will remain unchanged and the mean will decrease.Mr. Moore's physics class built different-shaped parachutes to see which shapes were more effective. The students tested the parachutes by dropping them from a height of 30 feet and timing the fall. They calculated the summary below: The students wanted to see what happens to their times when they drop the parachutes from 45 feet. They nd that every drop is increased by 2.5 seconds. Find the new mean and standard deviation. (4 points) A a Mean, 3.1 seconds: standard deviation, 0.6 second A b Mean, 5.6 seconds: standard deviation, 3.1 seconds A c Mean, 5.6 seconds; standard deviation, -1.9 seconds A d Mean, 8.1 seconds: standard deviation, 0.6 second e Mean, 8.1 seconds: standard deviation, unable to determine The IQ of 10 adults is measured and the results are 83, 87, 90, 92, 93,100, 104, 111,115, 121. Find the range ofthe data set. (4 points) A a 831 21 A b 38 A c 96.5 A d 99.6 A e 204 The average weight of adult males is 184.5 pounds, with a standard deviation of19 pounds and a normal distribution. Micah weighs 203.4 pounds. What is the standardized score for Micah's weight? (4 points) A a o.o1 \"\" b 0.01 A c o.99 A d 0.99 e Unable to determine the standardized score The dotplot below shows the number of pets owned by 25 people surveyed randomly in a particular town. Describe the shape of the distribution. (4 points) O N UT 9 Pets O a Bell-shaped, bimodal, no outlier Ob Bell-shaped, unimodal, no outlier O c Skewed right, unimodal, outlier at 0 Od Skewed right, bimodal, outlier at 0 O e Skewed left, unimodal, outlier at 8A group of people was selected randomly and asked how many hours per day each person spends on gaming. The results of the survey are displayed in the following histogram. 10 9 Frequency U1 1 2 3 4 5 6 7 8 9 10 11 Hours What percentage of the people surveyed spend 3 hours or less per day gaming? (4 points) A a 15% A b 32.5% A c 52.5% A d 62% A e 67.5%
