The Centers for Disease Control & Prevention in Maryland reports that the mean weight (in pounds) for adult females aged 20 years and over is ? = 166. Assume that this distribution is normal in shape and the standard deviation = 25. Find the z score for a woman with a weight of 174 pounds (that is, for X = 174). Round to the nearest tenths place if a fraction. [Note, if your calculated value is not identical to one of the values below, but within plus or minus 0.2 of an answer below, assume it's a rounding error and select the answer that is closest to your calculated value.] + .3 - .9 + .9 - .3 the correct z score is a value not listed in alternatives "a" through "d"
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Step 1: Calculate the Z score using the formula Z = (X - μ) / σ, where X = 174, μ = 166, and σ = 25. Show more…
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The Centers for Disease Control & Prevention in Maryland reports that the mean weight (in pounds) for adult females aged 20 years and over is µ = 166. Assume that this distribution is normal in shape and the standard deviation = 25. If you find that a particular woman’s weight given as a z score is z = -1.5, how many pounds does she weigh (that is, solve for X)? Round to the nearest tenths place if a fraction. [Note, if your calculated value is not identical to one of the values below, but within plus or minus 0.5 of an answer below, assume it’s a rounding error and select the answer that is closest to your calculated value.]
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