Exam 19: Questions that Involve Online Topics

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When the normality assumption is not met in a randomized block design, which of the following tests should be used?

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A tabular presentation that shows the outcome for each decision alternative under the various states of nature is called

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TABLE 12-1 A perfume manufacturer is trying to choose between 2 magazine advertising layouts. An expensive layout would include a small package of the perfume. A cheaper layout would include a "scratch-and-sniff" sample of the product. The manufacturer would use the more expensive layout only if there is evidence that it would lead to a higher approval rate. The manufacturer presents both layouts to 5 groups and determines the approval rating from each group on both layouts. The data are given below. Use this to test whether the median difference in approval rating is different from zero in favor of the more expensive layout with a level of significance of 0.05. TABLE 12-1 A perfume manufacturer is trying to choose between 2 magazine advertising layouts. An expensive layout would include a small package of the perfume. A cheaper layout would include a scratch-and-sniff sample of the product. The manufacturer would use the more expensive layout only if there is evidence that it would lead to a higher approval rate. The manufacturer presents both layouts to 5 groups and determines the approval rating from each group on both layouts. The data are given below. Use this to test whether the median difference in approval rating is different from zero in favor of the more expensive layout with a level of significance of 0.05.   -Referring to Table 12-1, what is the right test to use? -Referring to Table 12-1, what is the right test to use?

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For a given sample size, the probability of committing a Type II error will increase when the probability of committing a Type I error is reduced.

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You can use the Poisson distribution to approximate the binomial distribution when the sample size is large and the probability of an event of interest is very small.

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TABLE 9-1 A manufacturer produces light bulbs that have a mean life of at least 500 hours when the production process is working properly. Based on past experience, the population standard deviation is 50 hours and the light bulb life is normally distributed. The operations manager stops the production process if there is evidence that the population mean light bulb life is below 500 hours. -Referring to Table 9-1, if you select a sample of 100 light bulbs and are willing to have a level of significance of 0.01, the probability of the operations manager incorrectly stopping the process if the population mean bulb life is 510 hours is ________.

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TABLE 19-6 A student wanted to find out the optimal strategy to study for a Business Statistics exam. He constructed the following payoff table based on the mean amount of time he needed to study every week for the course and the degree of difficulty of the exam. From the information that he gathered from students who had taken the course, he concluded that there was a 40% probability that the exam would be easy. TABLE 19-6 A student wanted to find out the optimal strategy to study for a Business Statistics exam. He constructed the following payoff table based on the mean amount of time he needed to study every week for the course and the degree of difficulty of the exam. From the information that he gathered from students who had taken the course, he concluded that there was a 40% probability that the exam would be easy.    -Referring to Table 19-6, what would be the expected profit if the student had perfect information on whether the exam will be easy or difficult? -Referring to Table 19-6, what would be the expected profit if the student had perfect information on whether the exam will be easy or difficult?

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Blossom's Flowers purchases roses for sale for Valentine's Day. The roses are purchased for $10 a dozen and are sold for $20 a dozen. Any roses not sold on Valentine's Day can be sold for $5 per dozen. The owner will purchase 1 of 3 amounts of roses for Valentine's Day: 100, 200, or 400 dozen roses. Given 0.2, 0.4, and 0.4 are the probabilities for the sale of 100, 200, or 400 dozen roses, respectively, then the EOL for buying 200 dozen roses is

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TABLE 19-5 The following payoff table shows profits associated with a set of 2 alternatives under 3 possible events. TABLE 19-5 The following payoff table shows profits associated with a set of 2 alternatives under 3 possible events.   -Referring to Table 19-5, what is the optimal action using maximin criterion? -Referring to Table 19-5, what is the optimal action using maximin criterion?

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Blossom's Flowers purchases roses for sale for Valentine's Day. The roses are purchased for $10 a dozen and are sold for $20 a dozen. Any roses not sold on Valentine's Day can be sold for $5 per dozen. The owner will purchase 1 of 3 amounts of roses for Valentine's Day: 100, 200, or 400 dozen roses. Given 0.2, 0.4, and 0.4 are the probabilities for the sale of 100, 200, or 400 dozen roses, respectively, then the optimal alternative using EMV for selling roses is to buy ________ dozen roses.

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Based on past experience, only 0.5% of the invoices of a company contain an error. Out of the 1,500 invoices that the company will issue, what is the approximate probability that no more than 4 invoices will contain an error?

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TABLE 9-3 A drug company is considering marketing a new local anesthetic. The effective time of the anesthetic the drug company is currently producing has a normal distribution with a mean of 7.4 minutes with a standard deviation of 1.2 minutes. The chemistry of the new anesthetic is such that the effective time should be normally distributed with the same standard deviation. The company will market the new local anesthetic as being better if there is evidence that the population mean effective time is greater than the 7.4 minutes of the current local anesthetic. -Referring to Table 9-3, if you select a sample of 25 new local anesthetics and are willing to have a level of significance of 0.1, the probability of a Type I error is ________ if the population mean effective time is 8 minutes.

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The risk seeker's curve represents the utility of one who enjoys taking risks. Therefore, the slope of the utility curve becomes ________ for large dollar amounts.

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TABLE 19-2 The following payoff matrix is given in dollars. TABLE 19-2 The following payoff matrix is given in dollars.   -Referring to Table 19-2, what is the optimal action using the EOL criterion? -Referring to Table 19-2, what is the optimal action using the EOL criterion?

(Multiple Choice)
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TABLE 19-2 The following payoff matrix is given in dollars. TABLE 19-2 The following payoff matrix is given in dollars.   -Referring to Table 19-2, the EVPI is -Referring to Table 19-2, the EVPI is

(Multiple Choice)
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TABLE 9-3 A drug company is considering marketing a new local anesthetic. The effective time of the anesthetic the drug company is currently producing has a normal distribution with a mean of 7.4 minutes with a standard deviation of 1.2 minutes. The chemistry of the new anesthetic is such that the effective time should be normally distributed with the same standard deviation. The company will market the new local anesthetic as being better if there is evidence that the population mean effective time is greater than the 7.4 minutes of the current local anesthetic. -Referring to Table 9-3, if you select a sample of 25 new local anesthetics and are willing to have a level of significance of 0.05, the probability of the company incorrectly marketing the new local anesthetic when it is not better is ________.

(Short Answer)
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TABLE 16-1 Given below are the average prices for three types of energy products for five consecutive years. TABLE 16-1 Given below are the average prices for three types of energy products for five consecutive years.   -Referring to Table 16-1, what is the Laspeyres price index for the group of three energy items in year 4 for a family that consumed 15 units of electricity, 24 units of natural gas and 200 units of fuel oil in year 1 using year 1 as the base year? -Referring to Table 16-1, what is the Laspeyres price index for the group of three energy items in year 4 for a family that consumed 15 units of electricity, 24 units of natural gas and 200 units of fuel oil in year 1 using year 1 as the base year?

(Short Answer)
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TABLE 19-6 A student wanted to find out the optimal strategy to study for a Business Statistics exam. He constructed the following payoff table based on the mean amount of time he needed to study every week for the course and the degree of difficulty of the exam. From the information that he gathered from students who had taken the course, he concluded that there was a 40% probability that the exam would be easy. TABLE 19-6 A student wanted to find out the optimal strategy to study for a Business Statistics exam. He constructed the following payoff table based on the mean amount of time he needed to study every week for the course and the degree of difficulty of the exam. From the information that he gathered from students who had taken the course, he concluded that there was a 40% probability that the exam would be easy.    -Referring to Table 19-6, what is the opportunity loss of spending 4 hours per week on average studying for the exam when the exam turns out to be easy? -Referring to Table 19-6, what is the opportunity loss of spending 4 hours per week on average studying for the exam when the exam turns out to be easy?

(Short Answer)
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TABLE 19-4 A stock portfolio has the following returns under the market conditions listed below. TABLE 19-4 A stock portfolio has the following returns under the market conditions listed below.   -Referring to Table 19-4, what is the standard deviation? -Referring to Table 19-4, what is the standard deviation?

(Multiple Choice)
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TABLE 9-3 A drug company is considering marketing a new local anesthetic. The effective time of the anesthetic the drug company is currently producing has a normal distribution with a mean of 7.4 minutes with a standard deviation of 1.2 minutes. The chemistry of the new anesthetic is such that the effective time should be normally distributed with the same standard deviation. The company will market the new local anesthetic as being better if there is evidence that the population mean effective time is greater than the 7.4 minutes of the current local anesthetic. -Referring to Table 9-3, if you select a sample of 25 new local anesthetics and are willing to have a level of significance of 0.01, the probability of the company not marketing the new local anesthetic when its population mean effective time is not greater than the 7.4 minutes is ________.

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