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Unformatted text preview: Business Statistics 36. The fill weight of a certain brand of adult cereal is normally distributed with a mean of 910 grams and a standard deviation of 5 grams. If we select one box of cereal at random from this population, what is the probability that it will weigh less than 900 grams? A. 4772 B. .9772 C. .9544 D. .0228 E. .0456 AACSB: Analytical Studies Bloom's: Application Difficulty: Medium Topic: Normal Distribution 37. The fill weight of a certain brand of adult cereal is normally distributed with a mean of 910 grams and a standard deviation of 5 grams. If we select one box of cereal at random from this population, what is the probability that it will weigh more than 904 grams? A. .8849 B. .3849 C. .1151 D. .7698 E. .2302 AACSB: Analytical Studies Bloom's: Application Difficulty: Medium Topic: Normal Distribution 1-483 Chapter 01 - An Introduction to Business Statistics 38. The fill weight of a certain brand of adult cereal is normally distributed with a mean of 910 grams and a standard deviation of 5 grams. We calculated the value of z for a specific box of this brand of cereal and the z value was negative. This negative z value indicates that: A. We made a mistake in our calculations, as z must always be a nonnegative number. B. The fill weight exceeds 910 grams. C. The fill weight is less than 910 grams. D. The fill weight is equal to 910 grams. E. The fill weight may be more or less than 910 grams depending on the value of the standard deviation. AACSB: Analytical Studies Bloom's: Comprehension Difficulty: Easy Topic: Normal Distribution 39. Which of the following statements is not a property of the normal probability distribution? A. The normal distribution is symmetric. B. 95.44% of all possible observed values of the random variable x are within plus or minus three standard deviations of the population mean. C. The mean, median, and mode are equal. D. The area under the normal curve to the right of the mean is equal to the area under the normal curve to the left of the mean. E. All of the above answers are properties of the normal distribution. AACSB: Reflective Thinking Bloom's: Knowledge Difficulty: Medium Topic: Normal Distribution 1-484 Chapter 01 - An Introduction to Business Statistics 40. If the random variable of x is normally distributed, ____% of all possible observed values of x will be within three standard deviations of the mean. A. 68.26 B. 95.44 C. 99.73 D. 100 E. None of the above AACSB: Reflective Thinking Bloom's: Knowledge Difficulty: Easy Topic: Normal Distribution 41. When a ____________ probability distribution is used to approximate a ________ probability distribution we must make ____________ correction. A. Continuous, discrete, continuity B. Discrete, continuous, continuity C. Continuous, discrete, finite population D. None of the above AACSB: Reflective Thinking Bloom's: Synthesis Difficulty: Medium Topic: Continuous Probability Distribution 42. A continuous probability distribution that is useful in describing the time or space between successive occurrences of an event is a(n): A. Uniform probability distribution B. Normal probability distribution C. Poisson probability distribution D. Exponential probability distribution AACSB: Reflective Thinking Bloom's: Knowledge Difficulty: Medium Topic: Exponential Distribution 1-485 Chapter 01 - An Introduction to Business Statistics 43. The cashier service time at the local branch of the Rivertown bank has an exponential distribution with a mean of 2.5 minutes. What is the probability that the service time: Exceeds 3 minutes? A. .3012 B. .6988 C. .4346 D. .5654 E. .0821 AACSB: Analytical Studies Bloom's: Application Difficulty: Medium Topic: Exponential Distribution 44. The cashier service time at the local branch of the Rivertown bank has an exponential distribution with a mean of 2.5 minutes. What is the probability that the service time: Is no more than 3 minutes? A. .3012 B. .6988 C. .4346 D. .5654 E. .0821 AACSB: Analytical Studies Bloom's: Application Difficulty: Medium Topic: Exponential Distribution 45. The cashier service time at the local branch of the Rivertown bank has an exponential distribution with a mean of 2.5 minutes. What is the probability that the service time: Is between 2 and 4 minutes? A. .2488 B. .4493 C. .2019 D. .2474 E. .1170 AACSB: Analytical Studies Bloom's: Application Difficulty: Medium Topic: Exponential Distribution 1-486 Chapter 01 - An Introduction to Business Statistics 46. The z-value tells us the number of _____ that a value of x is from the mean. A. Variances B. Standard Deviations C. Medians D. Standard Means AACSB: Reflective Thinking Bloom's: Knowledge Difficulty: Medium Topic: Normal Distribution 47. _____ theory is a methodology that attempts to determine the number of servers that strikes an optimum balance between the time customers wait for service and the cost of providing service. A. Exponential B. Binomial C. Uniform Distribution D. Queueing AACSB: Reflective Thinking Bloom's: Knowledge Difficulty: Medium Topic: Exponential Distribution 48. A probability distribution that describes the time or space between successive occurrences of an...
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