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The population of lengths of aluminum coated steel

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Unformatted text preview: culty: Medium Topic: Normal Distribution 97. The weight of a product is normally distributed with a mean of four ounces and a variance of .25 "squared ounces." What is the probability that a randomly selected unit from a recently manufactured batch weighs more than 3.75 ounces? A. .3085 B. .6915 C. .1587 D. .8413 AACSB: Analytical Studies Bloom's: Application Difficulty: Medium Topic: Normal Distribution 1-509 Chapter 01 - An Introduction to Business Statistics 98. The weight of a product is normally distributed with a mean of four ounces and a variance of .25 "squared ounces." The company wants to classify the unit as a scrap in a maximum of 1% of the units if the weight is below a desired value. Determine the desired weight such that no more than 1% of the units are below it. A. 3.360 B. 3.680 C. 2.835 D. 3.418 AACSB: Analytical Studies Bloom's: Application Difficulty: Medium Topic: Normal Distribution 99. The weight of a product is normally distributed with a standard deviation of .5 ounces. What should the average weight be if the production manager wants no more than 5% of the products to weigh more than 5.1 ounces? A. 4.278 B. 4.409 C. 3.455 D. 5.922 AACSB: Analytical Studies Bloom's: Application Difficulty: Hard Topic: Normal Distribution 1-510 Chapter 01 - An Introduction to Business Statistics 100. The weight of a product is normally distributed with a standard deviation of .5 ounces. What should the average weight be if the production manager wants no more than 10% of the products to weigh more than 4.8 ounces? A. 3.52 B. 3.64 C. 5.44 D. 4.16 AACSB: Analytical Studies Bloom's: Application Difficulty: Hard Topic: Normal Distribution 101. The weight of a product is normally distributed with a mean 5 ounces. A randomly selected unit of this product weighs 7.1 ounces. The probability of a unit weighing more than 7.1 ounces is .0014. The production supervisor has lost files containing various pieces of information regarding this process including the standard deviation. Determine the value of standard deviation for this process. A. 1.67 B. 0.70 C. 2.10 D. 0.50 AACSB: Analytical Studies Bloom's: Application Difficulty: Hard Topic: Normal Distribution 1-511 Chapter 01 - An Introduction to Business Statistics 102. The average time a subscriber spends reading the local newspaper is 49 minutes. Assume the standard deviation is 16 minutes and that the times are normally distributed. What is the probability a subscriber will spend at least 1 hour reading the paper? A. .9987 B. .7549 C. .2451 D. .0013 AACSB: Analytical Studies Bloom's: Application Difficulty: Medium Topic: Normal Distribution 103. The average time a subscriber spends reading the local newspaper is 49 minutes. Assume the standard deviation is 16 minutes and that the times are normally distributed. What is the probability a subscriber will spend no more than 30 minutes reading the paper? A. .1170 B. .0301 C. .8830 D. .9699 AACSB: Analytical Studies Bloom's: Application Difficulty: Medium Topic: Normal Distribution 1-512 Chapter 01 - An Introduction to Business Statistics 104. The average time a subscriber spends reading the local newspaper is 49 minutes. Assume the standard deviation is 16 minutes and that the times are normally distributed. For the 10% who spend the most time reading the paper, how much time do they spend? A. 11.72 B. 28.52 C. 86.28 D. 69.48 AACSB: Analytical Studies Bloom's: Application Difficulty: Hard Topic: Normal Distribution 105. At an ocean-side nuclear power plant, seawater is used as part of the cooling system. This raises the temperature of the water that is discharged back into the ocean. The amount that the water temperature is raised has a uniform distribution over the interval from 10 to 25ºC. What is the probability that the temperature increase will be less than 20ºC? A. 0.40 B. 0.67 C. 0.80 D. 1.00 AACSB: Analytical Studies Bloom's: Application Difficulty: Hard Topic: Uniform Distribution 1-513 Chapter 01 - An Introduction to Business Statistics 106. At an ocean-side nuclear power plant, seawater is used as part of the cooling system. This raises the temperature of the water that is discharged back into the ocean. The amount that the water temperature is raised has a uniform distribution over the interval from 10 to 25ºC. What is the probability that the temperature increase will be between 20 and 22ºC? A. 0.08 B. 0.88 C. 0.13 D. 0.20 AACSB: Analytical Studies Bloom's: Application Difficulty: Medium Topic: Uniform Distribution 107. At an ocean-side nuclear power plant, seawater is used as part of the cooling system. This raises the temperature of the water that is discharged back into the ocean. The amount that the water temperature is raised has a uniform distribution over the interval from 10 to 25ºC. Suppose that a temperature increase of more than 18ºC is considered to be potentially dangerous to the environment. What is the probability that at any point of time, the temperature increase is po...
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