Two companies, A and B, package snack-size bags of cashews. Let X represent the weight of the packages from company A, and let Y represent the weight of the packages from company B. The mean of X is 2.4 ounces with a standard deviation of 0.3 ounces, and the mean of Y is 1.8 ounces with a standard deviation of 0.5 ounces. Assuming these are independent random variables, which answer choice correctly calculates and interprets the standard deviation of the sum, S = X + Y? = 0.2; companies A and B can expect the total weight of packages to vary by approximately 0.2 ounces from the mean. = 0.34; companies A and B can expect the total weight of packages to vary by approximately 0.34 ounces from the mean. = 0.58; companies A and B can expect the total weight of packages to vary by approximately 0.58 ounces from the mean. = 0.8; companies A and B can expect the total weight of packages to vary by approximately 0.8 ounces from the mean.
Two companies, A and B, package snack-size bags of cashews. Let X represent the weight of the packages from company A, and let Y represent the weight of the packages from company B. The mean of X is 2.4 ounces with a standard deviation of 0.3 ounces, and the mean of Y is 1.8 ounces with a standard deviation of 0.5 ounces. Assuming these are independent random variables, which answer choice correctly calculates and interprets the standard deviation of the sum, S = X + Y? = 0.2; companies A and B can expect the total weight of packages to vary by approximately 0.2 ounces from the mean. = 0.34; companies A and B can expect the total weight of packages to vary by approximately 0.34 ounces from the mean. = 0.58; companies A and B can expect the total weight of packages to vary by approximately 0.58 ounces from the mean. = 0.8; companies A and B can expect the total weight of packages to vary by approximately 0.8 ounces from the mean.
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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Two companies, A and B, package snack-size bags of cashews. Let X represent the weight of the packages from company A, and let Y represent the weight of the packages from company B. The mean of X is 2.4 ounces with a standard deviation of 0.3 ounces, and the mean of Y is 1.8 ounces with a standard deviation of 0.5 ounces. Assuming these are independent random variables, which answer choice correctly calculates and interprets the standard deviation of the sum, S = X + Y?
= 0.2; companies A and B can expect the total weight of packages to vary by approximately 0.2 ounces from the mean.
= 0.34; companies A and B can expect the total weight of packages to vary by approximately 0.34 ounces from the mean.
= 0.58; companies A and B can expect the total weight of packages to vary by approximately 0.58 ounces from the mean.
= 0.8; companies A and B can expect the total weight of packages to vary by approximately 0.8 ounces from the mean.
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