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Chapter 12: Q. AP4.34 (page 833)

AP4.34 A distribution of exam scores has mean 60and standard deviation 18. If each score is doubled, and then 5is subtracted from that result, what will the mean and standard deviation of the new scores be?

a. mean=115 and standard deviation=31

b. mean=115 and standard deviation=36

c. mean=120 and standard deviation=6

d. mean=120 and standard deviation=31

e. mean=120 and standard deviation=36

Short Answer

Expert verified

The correct answer is option(b) Mean=115 and standard deviation=36.

Step by step solution

01

Given information

To determine the mean and standard deviation of the new scores.

02

Explanation

Given values:
渭X=60
蟽X=18
The mean is determined as follows:
渭aX+b=a渭X+b
渭2X-5=2渭X-5
=2(60)-5
=115

The standard deviation is determined as follows:

蟽2X-5=a蟽X
=2(18)
=36
As a result, the option (b) is the correct option.

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Most popular questions from this chapter

Insurance adjusters are always concerned about being overcharged for accident repairs. The adjusters suspect that Repair Shop1quotes higher estimates than Repair Shop2. To check their suspicion, the adjusters randomly select 12cars that were recently involved in an accident and then take each of the cars to both repair shops to obtain separate estimates of the cost to fix the vehicle. The estimates are given in hundreds of dollars.

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