The scores on Ms. Martins statistics quiz had a mean of 12 and a standard deviation of

Chapter 2, Problem 17

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QUESTION:

The scores on Ms. Martin’s statistics quiz had a mean of 12 and a standard deviation of 3. Ms. Martin wants to transform the scores to have a mean of 75 and a standard deviation of 12. What transformations should she apply to each test score? Explain.

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QUESTION:

The scores on Ms. Martin’s statistics quiz had a mean of 12 and a standard deviation of 3. Ms. Martin wants to transform the scores to have a mean of 75 and a standard deviation of 12. What transformations should she apply to each test score? Explain.

ANSWER:

Step 1 of 2

The mean scores on Ms. Martins statistics quiz = 12

The standard deviation on Ms. Martins statistics quiz = 3

Transform the scores to have a mean = 75

Transform the scores to have a standard deviation = 12.

We have to find the transformation:

 

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