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noihalunoq d Exercises rpe enbje ase d ng hobrpts edi ei Read and answer the following problems. Show all necessary solutions. brahns 1. A population has a mean of 87 and a standard deviation of 12.5. What is the probability that the mean of a random sample with size 40? a. is greater than 80? b. is lesser than 78? c. falls between 84 to 90? 2. A population has a mean age of 37 with a standard deviation of 12. What is the probability that the mean age of the sample with size 31 falls between 34 and 38? 3. Suppose that the average amount of saturated fat in a serving of breakfast cereals is 23.5 grams and a standard deviation of 2.8 grams. If a person eats breakfast cereal every day for 1 month, find the probability that the average amount of saturated fat he/she gets from eating the cereals is less than 20 grams.

noihalunoq d Exercises rpe enbje ase d ng hobrpts edi ei Read and answer the following problems. Show all necessary solutions. brahns 1. A population has a mean of 87 and a standard deviation of 12.5. What is the probability that the mean of a random sample with size 40? a. is greater than 80? b. is lesser than 78? c. falls between 84 to 90? 2. A population has a mean age of 37 with a standard deviation of 12. What is the probability that the mean age of the sample with size 31 falls between 34 and 38? 3. Suppose that the average amount of saturated fat in a serving of breakfast cereals is 23.5 grams and a standard deviation of 2.8 grams. If a person eats breakfast cereal every day for 1 month, find the probability that the average amount of saturated fat he/she gets from eating the cereals is less than 20 grams.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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Exercisesie noihalaqoq a rpe evnbje ase d ng os hobrp Read and answer the following problems. Show all necessary solutions. brahns 1. A population has a mean of 87 and a standard deviation of 12.5. What is the probability that the mean of a random sample with size 40? a. is greater than 80? b. is lesser than 78? c. falls between 84 to 90? 2. A population has a mean age of 37 with a standard deviation of 12. What is the probability that the mean age of the sample with size 31 falls between 34 and 38? 3. Suppose that the average amount of saturated fat in a serving of breakfast cereals is 23.5 grams and a standard deviation of 2.8 grams. If a person eats breakfast cereal every day for 1 month, find the probability that the average amount of saturated fat he/she gets from eating the cereals is less than 20 grams. 4. The local pizza parlor prepares more than a hundred of pizzas a day, and the weights may vary. The mean weight is 485 grams. Assume that the standard deviation of the weights is 19 grams and the sample of 45 pizzas is to be randomly selected. What is the probability that the sample mean will have a weight heavier than 490 grams? 5. A medical study claimed that pain reliever of a certain brand will take effect in an average of 12 minutes after taking the medicine with a standard deviation of 1.2 minutes. Fifty persons s who have taken this brand of pain reliever were chosen. Find the probability that the average time it took for the medicine to take effect among the random sample is less than 10 minutes. 4 104 STATISTICS AND PROBABILITY: A MODERN APPROACH FOR THE NEW GENERATION
Transcribed Image Text:Exercisesie noihalaqoq a rpe evnbje ase d ng os hobrp Read and answer the following problems. Show all necessary solutions. brahns 1. A population has a mean of 87 and a standard deviation of 12.5. What is the probability that the mean of a random sample with size 40? a. is greater than 80? b. is lesser than 78? c. falls between 84 to 90? 2. A population has a mean age of 37 with a standard deviation of 12. What is the probability that the mean age of the sample with size 31 falls between 34 and 38? 3. Suppose that the average amount of saturated fat in a serving of breakfast cereals is 23.5 grams and a standard deviation of 2.8 grams. If a person eats breakfast cereal every day for 1 month, find the probability that the average amount of saturated fat he/she gets from eating the cereals is less than 20 grams. 4. The local pizza parlor prepares more than a hundred of pizzas a day, and the weights may vary. The mean weight is 485 grams. Assume that the standard deviation of the weights is 19 grams and the sample of 45 pizzas is to be randomly selected. What is the probability that the sample mean will have a weight heavier than 490 grams? 5. A medical study claimed that pain reliever of a certain brand will take effect in an average of 12 minutes after taking the medicine with a standard deviation of 1.2 minutes. Fifty persons s who have taken this brand of pain reliever were chosen. Find the probability that the average time it took for the medicine to take effect among the random sample is less than 10 minutes. 4 104 STATISTICS AND PROBABILITY: A MODERN APPROACH FOR THE NEW GENERATION
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