STATISTICAL TECHNIQUES AND TOOLS
SAMPLING DISTRIBUTION
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Question
[CLICK ON ANY CHOICE TO KNOW THE RIGHT ANSWER]
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The 40 yards sprint times for a soccer team are found to be normally distributed with a mean of 5.2 seconds and a standard deviation of 0.3 seconds. What is the z-score for a player who runs a time of 5.6 seconds?
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-1.33
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1.33
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0.88
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1.02
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Explanation:
Detailed explanation-1: -Regardless of what a normal distribution looks like or how big or small the standard deviation is, approximately 68 percent of the observations (or 68 percent of the area under the curve) will always fall within two standard deviations (one above and one below) of the mean.
Detailed explanation-2: -The total area under the standard normal distribution curve is 1. Therefore, if we have a Z score, i.e., how far a value is above or below the mean, we can determine the probability of a value less than or greater than that.
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