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Chapter 7: Q.AP2.19 - Cumulative AP Practise Test (page 438)

When people order books from a popular online source, they are shipped in boxes.

Suppose that the mean weight of the boxes is 1.5 pounds with a standard deviation of 0.3 pound, the mean weight of the packing material is 0.5 pound with a standard deviation of 0.1 pound, and the mean weight of the books shipped is 12 pounds with a standard deviation of 3 pounds. Assuming that the weights are independent, what is the standard deviation of the total weight of the boxes that are shipped from this source?

a. 1.84

b. 2.60

c. 3.02

d. 3.40

e. 9.10

Short Answer

Expert verified

c. 3.02

Step by step solution

01

Given Information

ver(total)=var(A)+var(B)+var(C)

A= Weight of boxes

B= weight of packing

C= weight of boxes

Formula used:

02

Explanation for correct option

ver(total)=0.32+0.12+32=9.1SD=9.1=3.02

Hence, the correct option is (c)

03

Explanation for incorrect option

a. 1.84 is not the correct answer.

b. 2.60 is not the correct answer.

d. 3.40 is not the correct answer.

e. 9.10 is not the correct answer.

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Most popular questions from this chapter

Birth weights Researchers in Norway analyzed data on the birth weights of 400,000 newborns over a 6-year period. The distribution of birth weights is approximately Normal with a mean of 3668 grams and a standard deviation of 511 grams.

a. Sketch a graph that displays the distribution of birth weights for this population.

b. Sketch a possible graph of the distribution of birth weights for an SRS of size $5 . Calculate the range for this sample.

In this population, the range (Maximum - Minimum) of birth weights is 3417 grams. We technology to take 500 SRSs of size n=5n=5and calculate the range (Maximum Minimum) for each sample. The dotplot shows the results.

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e. Based on your previous answers, is there convincing evidence that the average height of all 16-year-old females at this school is greater than 64inches? Explain your reasoning.

At a traveling carnival, a popular game is called the 鈥淐ash Grab.鈥� In this game, participants step into a sealed booth, a powerful fan turns on, and dollar bills are dropped from the ceiling. A customer has 30 seconds to grab as much cash as possible while the dollar bills swirl around. Over time, the operators of the game have determined that the mean amount grabbed is \(13 with a standard deviation of \)9. They charge \(15 to play the game and expect to have 40 customers at their next carnival.

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