Survey
* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
Sample Test 1 Math 1107 DeMaio Name___________________________________ MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Solve the problem. 1) A town's average snowfall is 46 inches per year with a standard deviation of 10 inches. Using a Normal model, what values should border the middle 68% of the model? 1) A) 46 inches and 42.6 inches B) 56 inches and 36 inches C) 66 inches and 26 inches D) 51 inches and 41 inches E) 48 inches and 44 inches 2) The coefficient of variation, expressed as a percent, is used to describe the standard deviation relative to the mean. It allows us to compare variability of data sets with different measurement units and is calculated as follows: 2) coefficient of variation = 100 (s/x ) Find the coefficient of variation for the following sample of weights (in pounds): 160 154 121 172 A) 26.9% 186 125 105 116 197 125 B) 19.2% C) 24.0% D) 21.9% 3) Here are costs (in dollars) of 12 electric smoothtop ranges. Find the range. 3) 860 1000 650 560 1460 1100 700 760 810 1300 550 1060 A) $900 B) $910 C) $890 D) $920 E) $930 4) For a recent English exam, use the Normal model N(73, 9.2) to find the percent of scores over 85. Round to the nearest tenth of a percent. A) 8.1% B) 90.3% C) 11.5% D) 9.7% E) 88.5% 5) The plastic arrow on a spinner for a child's game stops rotating to point at a color that will determine what happens next. Determine whether the following probability assignment is legitimate. Probability of . . . Red Yellow Green Blue 0.40 0.50 -0.60 0.70 A) Legitimate B) Not legitimate 1 4) 5) 6) The volumes of soda in quart soda bottles can be described by a Normal model with a mean of 32.3 oz and a standard deviation of 1.2 oz. What percentage of bottles can we expect to have a volume less than 32 oz? A) 59.87% B) 40.13% C) 9.87% D) 38.21% E) 47.15% 7) Human body temperatures are normally distributed with a mean of 98.20eF and a standard deviation of 0.62e F. Find the temperature that separates the top 7% from the bottom 93%. A) 98.40eF B) 98.78eF C) 97.28eF B) 11.4 years C) 10.2 years B) 42.37% C) 93.32% D) 43.32% 8) D) 8.4 years 9) A bank's loan officer rates applicants for credit. The ratings can be described by a Normal model with a mean of 200 and a standard deviation of 50. If an applicant is randomly selected, what percentage can be expected to be between 200 and 275? A) 5.00% 7) D) 99.12eF 8) Suppose that replacement times for washing machines are normally distributed with a mean of 9.9 years and a standard deviation of 1.6 years. Find the replacement time that separates the top 18% from the bottom 82%. A) 10.7 years 6) 9) E) 6.68% Determine whether the events are disjoint, independent, neither, or both. 10) In rolling a fair die twice, the events of getting a 2 on the first roll and a 4 on the second A) Disjoint B) Independent C) Neither 10) D) Both Find the indicated probability. 11) On a multiple choice test, each question has 7 possible answers. If you make a random guess on the first question, what is the probability that you are correct? 1 D) 0 A) 7 B) 1 C) 7 11) 12) A class consists of 82 women and 40 men. If a student is randomly selected, what is the probability that the student is a woman? 1 20 41 41 A) B) C) D) 122 61 20 61 12) 13) The weekly salaries of teachers in one state are normally distributed with a mean of $490 and a standard deviation of $45. What is the probability that a randomly selected teacher earns more than $525 a week? 13) A) 0.1003 B) 0.7823 C) 0.2823 D) 0.2177 14) Two 6-sided dice are rolled. What is the probability that the sum of the two numbers on the dice will be 5? 1 5 8 B) 4 C) D) A) 9 6 9 2 14) Use summary statistics to answer the question. 15) Here are some statistics for the annual Wildcat golf tournament: lowest score = 60, mean score = 93, median = 101, range = 90, IQR = 96, Q1 = 37, standard deviation = 12. Suppose it was very windy and all the golfers' scores went up by 7 strokes. Tell the new value for each of the summary statistics. 15) A) Lowest score: 67, mean: 100, median: 108, range: 90, IQR: 96, Q1: 44, SD: 12 B) Lowest score: 67, mean: 100, median: 108, range: 83, IQR: 96, Q1: 44, SD: 12 C) Lowest score: 67, mean: 93, median: 101, range: 83, IQR: 96, Q1: 44, SD: 12 D) Lowest score: 67, mean: 100, median: 108, range: 83, IQR: 96, Q1: 44, SD: 19 E) Lowest score: 67, mean: 100, median: 108, range: 83, IQR: 103, Q1: 44, SD: 12 16) Here are some summary statistics for the size of forest fires last year: smallest fire = 77 acres, mean = 419 acres, median = 419 acres, range = 7923 acres, IQR = 418, Q1 = 168, standard deviation = 51 acres. Between what two values are the middle 50% of fire sizes found? 16) A) 77 and 8000 B) 83.8 and 335.2 C) 209.5 and 419 D) 168 and 586 E) 104.75 and 314.25 Estimate the probability of the event. 17) Of 1262 people who came into a blood bank to give blood, 361 people had high blood pressure. Estimate the probability that the next person who comes in to give blood will have high blood pressure. A) 0.205 B) 0.254 C) 0.286 17) D) 0.337 Solve the problem. Round to the nearest tenth. 18) Based on the Normal model for snowfall in a certain town N(57, 8), how many inches of snow would represent the 75th percentile? A) 65 inches B) 49 inches C) 62.4 inches D) 51.6 inches 18) E) 42.8 inches Find the z-score corresponding to the given value and use the z-score to determine whether the value is unusual. Consider a score to be unusual if its z-score is less than -2.00 or greater than 2.00. Round the z-score to the nearest tenth if necessary. 19) A body temperature of 96.8e F given that human body temperatures have a mean of 98.20e F and a standard deviation of 0.62e . A) 2.2; unusual B) -1.4; not ususal C) -2.2; unusual D) -2.2; not unusual 19) Find the standard deviation for the given data. Round your answer to one more decimal place than the original data. 20) 15, 42, 53, 7, 9, 12, 14, 28, 47 A) 29.1 20) B) 17.8 C) 15.8 3 D) 16.6 Find the number of standard deviations from the mean. Round to the nearest hundredths. 21) The average number of pounds of sugar a person eats per year is 8 pounds with a standard deviation of 1.5 pounds. How many standard deviations from the mean is the consumption of 11 pounds of sugar? 21) A) About 2.00 standard deviations above the mean B) About 2.00 standard deviations below the mean C) About 1.00 standard deviations below the mean D) About 1.00 standard deviations above the mean E) About 5.33 standard deviations above the mean Find the median for the given sample data. 22) A store manager kept track of the number of newspapers sold each week over a seven-week period. The results are shown below. 65, 35, 214, 144, 255, 247, 240 22) Find the median number of newspapers sold. A) 240 newspapers B) 171 newspapers C) 144 newspapers D) 214 newspapers Find the mean for the given sample data. 23) The local Tupperware dealers earned these commissions last month: 23) $4814.12 $1765.45 $4682.07 $1259.14 $1393.03 $2129.30 $2162.67 $2334.58 $3823.00 $1876.20 What was the mean commission earned? Round your answer to the nearest cent. A) $2915.51 B) $3279.95 C) $2623.96 4 D) $2617.96 Answer Key Testname: SAMPLE TEST 1 SUMMER 2010 1) 2) 3) 4) 5) 6) 7) 8) 9) 10) 11) 12) 13) 14) 15) 16) 17) 18) 19) 20) 21) 22) 23) B D B D B B D B D B C D D C A D C C C B A D C 5