MBA624-MSF624 (Spring 2024) –Exam 1/(40 Questions and Answers)/ 100% Correct

MBA624-MSF624 (Spring 2024) –Exam 1/(40 Questions and Answers)/ 100% Correct MBA624-MSF624 (Spring 2024) –Exam 1/(40 Questions and Answers)/ 100% Correct Use the following table for Questions 1-4. The table below shows data for 10 pet owners who visited EmergiCare Vet Clinic. 1) The experience rating is most likely collected through: A. Survey B. Direct Observation C. Experiment D. Group Observation 2) How many variables are quantitative? A. 1 B. 2 C. 3 D. 4 3) Experience Rating is a(n) variable. A. Ordinal B. Ratio C. Nominal D. Interval 4) “Breed” is measured as a(n) variable. A. Ordinal, since some breeds are better than others B. Ratio, since there is no inherent zero C. Nominal, since breeds are a category D. Interval, since there is inherent zero Use table below to answers questions 5-8. Observatio n Date Inspected Defects Observatio n Date Inspected Defects 1 1/1/2021 10 18 1/18/2021 60 2 1/2/2021 30 19 1/19/2021 45 3 1/3/2021 46 20 1/20/2021 7 4 1/4/2021 45 21 1/21/2021 17 5 1/5/2021 29 22 1/22/2021 37 6 1/6/2021 10 23 1/23/2021 26 7 1/7/2021 51 24 1/24/2021 7 8 1/8/2021 34 25 1/25/2021 15 9 1/9/2021 40 26 1/26/2021 26 10 1/10/2021 56 27 1/27/2021 23 11 1/11/2021 17 28 1/28/2021 54 12 1/12/2021 47 29 1/29/2021 15 13 1/13/2021 25 30 1/30/2021 6 14 1/14/2021 8 31 1/31/2021 56 15 1/15/2021 57 32 2/1/2021 10 16 1/16/2021 54 33 2/2/2021 32 17 1/17/2021 30 34 2/3/2021 28 5) Using the 2k n rule, how many classes would be needed for a frequency distribution of visual weld defects? A. 4 B. 5 C. 6 D. 7 6) The independent variable is A. Time, it is not affected by changes in the other variable B. Not time, but a specific type of scatter plot in which the data points in the scatter plot are connected with a line C. Visual weld defects shown as a variable in the scatter plot that is influenced by changes in the multiple variables. D. A visual skewed picture of the relationship between two data points that are paired together on a graph with a horizontal and vertical axis 7) Which Stem and Leaf plot depicts the defects? Answer: A 8) Which Scatter plot depicts the visual welding defects? Answer: A 9) Given Pareto chart directly below, on which two errors should management focus their efforts? A. Long delays B. Employee input errors and shipping delay errors C. Pareto chart gives no insight D. There is no good answer 10) The Pareto chart above is a A. a bar chart that shows in a decreasing order the frequency of the categories that cause quality control problems B. a variable in the scatter plot that is influenced by changes in the other variable C. a bar chart that groups several values side by side within the same category in a horizontal direction D. none of the above Use the table below to answer Questions 11-14. Observation Date Sales Observation Date Sales 1 2/1/2021 41 16 2/16/2021 69 2 2/2/2021 15 17 2/17/2021 18 3 2/3/2021 26 18 2/18/2021 24 4 2/4/2021 23 19 2/19/2021 27 5 2/5/2021 73 20 2/20/2021 40 6 2/6/2021 24 21 2/21/2021 48 7 2/7/2021 59 22 2/22/2021 45 8 2/8/2021 12 23 2/23/2021 18 9 2/9/2021 62 24 2/24/2021 41 10 2/10/202 1 26 25 2/25/2021 65 11 2/11/202 1 63 26 2/26/2021 82 12 2/12/202 1 38 27 2/27/2021 39 13 2/13/202 1 30 28 2/28/2021 33 14 2/14/202 1 44 29 3/1/2021 75 15 2/15/202 1 30 30 3/2/2021 17 The worksheet shows sales data from a local cell phone store detailing the number of cell phones sold for the month of September. This data is a sample of their overall sales. 11) What is the mean number of cell phones sold during the month? A. 37.41 B. 35.50 C. 40.23 D. 36.00 12) Using excel compute the median number of sales? A. 35.0 B. 38.5 C. 36.0 D. 36.5 13) Using excel () compute the number of sales corresponding to the 45th percentile? A. 32.0 B. 32.9 C. 34.0 D. 35.0 14) What is the variance of sales? A. 14.02 B. 196.48 C. 212.72 D. 398.12 15) Product A has sold a mean of 27 items each day with a standard deviation of 5.4. Product B has sold a mean of 35 items with a standard deviation of 6.5. Which product has been more consistent in sales? A. Sales of Product B has been more consistent B. Sales of both products are equally consistent C. Sales of Product A has been more consistent D. Cannot be determined 16) A data set of unknown distribution has a mean of 60 and a standard deviation of 7. At least how much of the data lies between 46 and 74? Answer C Use the following table for Questions 17 and 18. It is a sample of radar-indicated speed of automobiles on a particular section of a highway. Speed Frequen cy 45-49 9 50-54 7 55-59 7 60-64 11 65-69 15 70-74 5 17) What is the mean speed of the automobiles? A. 83.6 B. 69.5 C. 59.9 D. 35.0 18) What is the standard deviation of the speed of these automobiles? A. 6.66 B. 44.40 C. 6.22 D. 8.16 For Questions 19-20, use the following information. Use 4 decimals in your calculations. As part of an IT survey, both staff and managers were asked to indicate what business and technical skills are critical to their jobs. In total, 12 skills were included in the survey. One of the 12 skills was “Analyzing Data”. The following table reports findings about that skill: Professional Position Analyzing Data Staff Management Critical 4,374 3,633 Not critical 3,436 2,631 19) What is the probability that a person selected at random is a manager? A. 0.4442 B. 0.2581 C. 0.6329 D. 0.5549 20) What is the probability that a randomly selected person says Analyzing Data is critical skill? A. 0.6221 B. 0.2441 C. 0.4451 D. 0.5697 21) The respondents were asked to consider the 15 skills included in the study and pick 3 which they thought are critical to their job. How many different ways are possible for an individual to make his/her selection? A. 15 B. 455 C. 20,736 D. 11,880 22) The respondents were asked to consider the 12 skills included in the study, and rank (as 1, 2, 3) their top 3 choices. How many different ways are there that a person could make his/her selection? A. 48 B. 895 C. 1320 D. 11,880 23) John and Jennifer are picking the meal for their wedding celebration. They can pick one item in each of the following four categories: 1) Bread: sour dough, wheat, butter, rye; 2) Salad: pasta, lettuce, fruit, exotic; 3) Main course: Chicken, Beef and 4) Dessert: cheese cake, carrot cake, cupcake. How many different meal choices do they have? A. 4 B. 96 C. 25 D. 64 Use the following for questions 24 to 29 Jeff is the freshmen on the Bulldogs baseball team. Jeff is also majoring in statistics and has determined that his at bats follow a binomial distribution with a probability of 0.35 that he will get a hit. 24) Over the next three games, Jeff will get 12 plate appearances (sample size is 12), what is the mean number of expected hits? A. 3 B. 6 C. 4.2 D. 3.5 25) Over the next three games, Jeff will get 12 plate appearances (sample size is 12), what is the standard deviation of expected hits? A. 1.65 B. 2.73 C. 3.5 D. 4.2 26) Over the next three games, Jeff will get 12 plate appearances (sample size is 12), what is the probability Jeff will get exactly 4 hits? A. 0.35 B. 0.24 C. 0.48 D. 0.00 27) Over the next three games, Jeff will get 12 plate appearances (sample size is 12), what is the probability Jeff will get more than 2 hits? A. 0.15 B. 0.65 C. 0.35 D. 0.85 28) Over the next three games, Jeff will get 12 plate appearances (sample size is 12), what is the probability Jeff will get 3 or less hits? A. 0.15 B. 0.24 C. 0.35 D. 0.65 29) Over the next three games, Jeff will get 12 plate appearances (sample size is 12), what is the probability Jeff will not get exactly 5 hits? A. 0.06 B. 0.79 C. 0.35 D. 0.35 Use the following for questions 30 to 31 Customers arrive at a bakery at an average rate of 10 customers per hour. Assume Poisson arrivals. 30) What is the probability that less than 5 customers will arrive in the next hour? A. 0.067 B. 0.029 C. 0.500 D. 0.045 31) What is the probability of more than four customers arriving in the next hour? A. 0.03 B. 0.97 C. 0.68 D. 0.50 Use the following for question 32 to 37 According to a recent survey, in 2020, the per capita consumption of bottled water in the USA was reported as 28.8 gallons. Assume the per capita consumption of bottled water in the USA is normally distributed with mean equal to 28.8 gallons and standard deviation equal to 9.5 gallons. 32) What is the probability that a randomly selected individual consumed exactly 28.8 gallons of bottled water? A. 0.00 B. 0.25 C. 0.50 D. 1.00 33) What is the probability that a randomly selected individual consumed less than 27.5 gallons of bottled water? A. 0.00 B. 0.45 C. 0.55 D. 0.25 34) What is the probability that a randomly selected individual consumed more than 34.5 gallons of bottled water? A. 0.27 B. 0.83 C. 0.50 D. 0.18 35) What is the probability that a randomly selected individual consumed between 25.4 and 32.9 gallons of bottled water? A. 0.31 B. 0.69 C. 0.42 D. 0.12 36) What is the probability that a randomly selected individual consumed at most 37.4 gallons of bottled water? A. 0.59 B. 0.37 C. 0.18 D. 0.82 For Questions 37 – 38, use the following information. Downloading times at a website is assumed to be uniformly distributed between 3.5 to 8.5 seconds. 37) What is the probability that the download takes between 1.5 and 5.5 seconds? A. 0.40 B. 0.80 C. 0.60 D. 0.20 38) What is the probability that the download takes more than 6.0 seconds? A. 0.40 B. 0.50 C. 0.60 D. 0.70 Use the following information to answer Questions 39 and 40. The time between unplanned shutdowns of a power plant has an exponential distribution with a mean of 15 days. 39) Find the probability that the time between two unplanned shutdowns is more than 21 days A. 0.25 B. 0.65 C. 0.56 D. 0.35 40) Find the probability that the time between two unplanned shutdowns is exactly 12 days A. 0.00 B. 0.92 C. 0.45 D. 0.55