How do I find the z-score and change with standard deviation?

Statistics
Tutor: None Selected Time limit: 1 Day

Some doctors believe that a person can lose five pounds, on average, in a month by reducing his or her fat intake and exercising consistently.  Suppose weight loss has a normal distribution. Let x= the amount lost (in pounds) by a person in a month.  Assume a standard deviation of 2 lbs.

1. what is the z-score if a person lost 10 lbs in a month?

2. what is the z-score if a peson gained 3 lbs in a month?

3.Suppose Jerome's weight loss this mo was 1.75 st. dev to right of mean.  what is wt change?

Oct 5th, 2015

Thank you for the opportunity to help you with your question!

Z-score = (actual weight lost - 5) ÷ 2

1. z-score = (10 - 5)÷ 2 = 2.5

2. z- score = (-3 -5)÷ 2 = -4   ( a gain of weight will be a negative score)

3. Jerome lost 1.75 × 2 = 3.5 pounds

Please let me know if you need any clarification. I'm always happy to answer your questions.
Oct 5th, 2015

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Oct 5th, 2015
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Oct 5th, 2015
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