STATISTICAL TECHNIQUES AND TOOLS
Z DISTRBUTION
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Question
[CLICK ON ANY CHOICE TO KNOW THE RIGHT ANSWER]
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Using a z-score table. Fernando is 60 inches tall. The average height for his age and gender is 68 with a standard deviation of 10 inches. What percent of his peers are shorter than him?
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46.81%
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8%
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78.81%
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21.19%
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Explanation:
Detailed explanation-1: -The formula for calculating a z-score is z = (x-)/, where x is the raw score, is the population mean, and is the population standard deviation.
Detailed explanation-2: -z = (x – ) / ( / √n) This z-score will tell you how many standard errors there are between the sample mean and the population mean. Example problem: In general, the mean height of women is 65″ with a standard deviation of 3.5″.
Detailed explanation-3: -and a standard deviation of 2.5 inches. The z score corresponding to a woman with a height is 2.56.
There is 1 question to complete.