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1. Potato chips A company that makes potato chips P9 2 requires each shipment of potatoes to meet certain quality standards. If the company finds convincing evidence that more than 8% of the potatoes in the shipment have "blemishes," the truck will be sent back to the supplier to get another load of potatoes. Otherwise, the entire truckload will be used to make potato chips. To make the decision, a supervisor will inspect a random sample of potatoes from the ship- ment. He will then perform a test of Ho: p versus Ha: p > 0.08, where p is the true proportion of potatoes with blemishes in a given truckload. The power of the test to detect that p = 0.11, based on a random sample of 500 potatoes and significance level a = 0.05, is 0.764. Interpret this value in context. 0.08

1. Potato chips A company that makes potato chips P9 2 requires each shipment of potatoes to meet certain quality standards. If the company finds convincing evidence that more than 8% of the potatoes in the shipment have "blemishes," the truck will be sent back to the supplier to get another load of potatoes. Otherwise, the entire truckload will be used to make potato chips. To make the decision, a supervisor will inspect a random sample of potatoes from the ship- ment. He will then perform a test of Ho: p versus Ha: p > 0.08, where p is the true proportion of potatoes with blemishes in a given truckload. The power of the test to detect that p = 0.11, based on a random sample of 500 potatoes and significance level a = 0.05, is 0.764. Interpret this value in context. 0.08

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.4: Linear Programming
Problem 28E
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Mastering Concepts and Skills 1. Potato chips A company that makes potato chips pg 2 requires each shipment of potatoes to meet certain quality standards. If the company finds convincing evidence that more than 8% of the potatoes in the shipment have "blemishes," the truck will be sent back to the supplier to get another load of potatoes. Otherwise, the entire truckload will be used to make potato chips. To make the decision, a supervisor will inspect a random sample of potatoes from the ship- ment. He will then perform a test of Ho: p 0.08 versus Ha: p > 0.08, where p is the true proportion of potatoes with blemishes in a given truckload. The power of the test to detect that p = 0.11, based on a random sample of 500 potatoes and significance level a = 0.05, is 0.764. Interpret this value in context. 2. 3. Computer shooter A virtual basketball player claims to make 80% of his free throws. Suppose that the player is exaggerating he really makes less than 80% in the long run. We have the computer simulate a random sample of shots and use the sample result to perform a test of Ho: p = 0.80 versus Hä: p < 0.80. The power of the test to detect that p 0.70 based on a random sample of 50 shots and significance level a = 0.05 is 0.543. Interpret this value in context. How much juice? The label on bottles of one com- pany's grapefruit juice says that they contain 180 milliliters (ml) of liquid. Your friend Jerry suspects that the true mean is less than that, so he plans to take a random sample of 40 bottles and measure
Transcribed Image Text:Mastering Concepts and Skills 1. Potato chips A company that makes potato chips pg 2 requires each shipment of potatoes to meet certain quality standards. If the company finds convincing evidence that more than 8% of the potatoes in the shipment have "blemishes," the truck will be sent back to the supplier to get another load of potatoes. Otherwise, the entire truckload will be used to make potato chips. To make the decision, a supervisor will inspect a random sample of potatoes from the ship- ment. He will then perform a test of Ho: p 0.08 versus Ha: p > 0.08, where p is the true proportion of potatoes with blemishes in a given truckload. The power of the test to detect that p = 0.11, based on a random sample of 500 potatoes and significance level a = 0.05, is 0.764. Interpret this value in context. 2. 3. Computer shooter A virtual basketball player claims to make 80% of his free throws. Suppose that the player is exaggerating he really makes less than 80% in the long run. We have the computer simulate a random sample of shots and use the sample result to perform a test of Ho: p = 0.80 versus Hä: p < 0.80. The power of the test to detect that p 0.70 based on a random sample of 50 shots and significance level a = 0.05 is 0.543. Interpret this value in context. How much juice? The label on bottles of one com- pany's grapefruit juice says that they contain 180 milliliters (ml) of liquid. Your friend Jerry suspects that the true mean is less than that, so he plans to take a random sample of 40 bottles and measure
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