Question

The amount of cereal that can be poured into a small bowl is normally distributed with a mean of 1.5 ounces and a standard deviation of 0.3 ounces. For a large bowl the amount poured is normally distributed a mean of 2.5 ounces with a standard deviation of 0.4 ounces. You open a new box of cereal and pour one large and one small bowl. Let Y be the difference of the amount of cereal in the two bowls (Large-S YXage XSmall. How much more cereal do you EXPECT to be in the Large Bowl Round your answer to be in integer QUESTION 2 The amount of cereal that can be poured into a small bowl is normally distributed with a mean of 1.5 ounces and a standard deviation of 0.3 ounces. For a large bowl the amount poured is normally distributed a mean of 2.5 ounces with a standard deviation of 0.4 ounces. You open a new box of cereal and pour one large and one small bowl. Let Y be the difference of the amount of cereal in the two bowls (Large- Small). Y Xa- XSmall. What is the standard deviation of the difference, Y? Round your answer to 1 decimal place. 0.5 QUESTION 3 The amount of cereal that can be poured into a small bowl is normally distributed with a mean of 1.5 ounces and a standard deviation of 0.3 ounces. For a large bowl the amount poured is normally distributed a mean of 2.5 ounces with a standard deviation of 0.4 ounces. You open a new box of cereal and pour one large and one small bowl. Let Y be the difference of the amount of cereal in the two bowls (Large- Small). Y-Xarge- XSmall. What is the probability the small bowl contains more cereal than the large one? HINT: this is a normal distribution problem Round your answer to 3 decimal places. 0.023 QUESTION The amount of cereal that can be poured into a small bowl is normally distributed with a mean of 1.5 ounces and a standard deviation of 0.3 ounces. For a large bowl the amount poured is normally distributed a mean of 2.5 ounces with a standard deviation of 0.4 ounces. You open a new box of cereal and pour one large and one small bowl. Let Z be the total amount of cereal poured in both bowls. Z- Xmall. What is the mean of the totall amount of cereal in the two bowls, Ez Round your answer to be an integer QUESTION 5 The amount of cereal that can be poured into a small bowl is normally distributed with a mean of 1.5 ounces and a standard deviation of 0.3 ounces. For a large bowl the amount poured is normally distributed a mean of 2.5 ounces with a standard deviation of 0.4 ounces. You open a new box of cereal and pour one large and one small bowl. Let Z be the total amount of cereal poured in both bowls. Z-Xaro XSmall What is the standard deviation of this total? Round your answer to one decimal place. 0.5 QUESTION6 The amount of cereal that can be poured into a small bowl is normally distributed with a mean of 1.5 ounces and a standard deviation of 0.3 ounces. For a large bowl the amount poured is normally distributed a mean of 2.5 ounces with a standard deviation of 0.4 ounces. You open a new box of cereal and pour one large and one small bowl. Let Z be the total amount of cereal poured in both bowls. Z-XLareXSma. What is the probabity you poured out more than 45 ounces of cereal in the two bowls together? Round your answer to 3 decimal places 0.159 QUESTION 7 The amount of cereal that can be poured into a small bowl is normally distributed with a mean of 1.5 ounces and a standard deviation of 0.3 ounces. For a large bowl the amount poured is normally distributed a mean of 2.5 ounces with a standard deviation of 0.4 ounces. You open a new box of cereal and pour one large and one small bowl. The amount of cereal the manufacturer puts in the boxes is normally distributed with mean of 16.3 ounces and standard deviation of 0.2 ounces. Let w be the amount left in the box after pouring the two bowls. W-XBox-Z. Find the expected amount of cereal left in the box, Ew). Round your answer to 1 decimal place 12.3 QUESTION 8 The amount of cerealthat can be poured into a small bowl is normally distributed with a mean of 1.5 ounces and a standard deviation of 0.3 ounces. For a large bowl the amount poured is normally distributed a mean of 2.5 ounces with a standard deviation of 0.4 ounces. You open a new box of cereal and pour one large and one small bowl. The amount of cereal the manufacturer puts in the boxes is normally distributed with mean of 16.3 ounces and standard deviation of 0.2 ounces. Let w be the amount left in the box after pouring the two bowls. W : XBox-Z What is the standard deviation of the amount of cereal let in the box? Round your answer to 3 decimal places 0.538 QUESTION9 The amount of cereal that can be poured into a small bowl is normally distributed with a mean of 1.5 ounces and a standard deviation of 0.3 ounces. For a large bowl the amount poured is normally distributed a mean of 2.5 ounces with a standard deviation of 0.4 ounces. You open a new box of cereal and pour one large and one small bowl. The amount of cereal the manufacturer puts in the boxes is normally distributed with mean of 16.3 ounces and standard deviation of 0.2 ounces. Let W be the amount left in the box after pouring the two bowls. W XBox-Z. What is the probability that the box still contains more than 13 ounces? Round your answer to 3 dermal place 0.058 QUESTION 10 It is known that disks produced by a certain company will be defective with probability 0.01. Let X denote the number of defective disks What is the probability that when 200 disks are produced that one or two disks are defective? Round your answer to 3 decimal places 0.543 QUESTION 11 It is known that disks produced by a certain company will be defective with probability 0.01, Let X denote the number of defective disks What is the probability that when 200 disks are produced that no more than 4 are defective? your answer to 3 decimal places 1.759 QUESTION 12 It is known that disks produced by a certain company will be defective with probability 0.01. Let X denote the number of defective disks When 200 disks are produced what is the expected number of defective disks? Round your answer to be an integer QUESTION 13 The number of flaws in a given area of aluminum foil is 3 per m2 What is the expected number of flaws in one-square meter of aluminum foil? Round your answer to be an integer. an hanger QUESTION 7 QUESTION 23 The carbon content (in ppm) was measured for each of six silicon wafers. The results were: 241 2.45 2.21 2.32 2.25 2.38 Construct a 98% confidence interval to estimate the true mean carbon content (in ppm) for all silicon wafers. What is the sample mean, point estimate? Round to 3 decimal places. 2.337 QUESTION 24 The carbon content (in ppm) was measured for each of six silicon wafers. The results were: 241 2.45 2.21 2.32 2.25 2.38 Construct a 98% confidence interval to estimate the true mean carbon content (in ppm) for all silicon wafers. What is the sample standard deviation? Round to 3 decimal places. 0.089 QUESTION 25 The carbon content (in ppm) was measured for each of six silicon wafers. The results were: 241 2.45 2.21 2.32 2.25 2.38 Construct a 98% confidence interval to estimate the true mean carbon content (in ppm) for all silicon wafers. How many degrees of freedom does thet distribution of the sample mean have? QUESTION 26 The carbon content (in ppm) was measured for each of six silicon wafers. The results were: 241 2.45 2.21 2.32 2.25 2.38 Construct a 98% confidence interval to estimate the true mean carbon content (in ppm) for all silicon wafers. What is the lower bound of the confidence interval? Round to 3 decimal places. 2.214 QUESTION 27 The carbon content (in ppm) was measured for each of six silicon wafers. The results were: 241 2.45 2.21 2.32 2.25 2.38 Construct a 98% confidence interval to estimate the true mean carbon content (in ppm) for all silicon wafers. What is the upper bound of the confidence interval? Round to 3 decimal places. 2.458 QUESTION 28 The carbon content (in ppm) was measured for each of six silicon wafers. The results were: 241 2.45 2.21 2.32 2.25 2.38 Construct a 98% confidence interval to estimate the true mean carbon content (in ppm) for all silicon wafers. Should the company be concerned about exceeding the maximum limit of 2.50 ppm? a B. No

Answer 1

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