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

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royrvtu

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Mathematics

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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?

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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

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