STATISTICAL TECHNIQUES AND TOOLS
STANDARD ERROR
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Question
[CLICK ON ANY CHOICE TO KNOW THE RIGHT ANSWER]
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In a population of five university students with GPAs of 2.5, 2.3, 1.7, 1.4, and 1.1, a sample of three students are considered. What would be the mean of the resulting sampling distribution?
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1.9
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1.8
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1.7
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1.6
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Explanation:
Detailed explanation-1: -Regardless of the distribution of the population, as the sample size is increased the shape of the sampling distribution of the sample mean becomes increasingly bell-shaped, centered on the population mean.
Detailed explanation-2: -The standard deviation of the distribution of sample means is smaller than the standard deviation of the population because a sample is always small than the population.
Detailed explanation-3: -The average speed of 1500 vehicles traveled on a stretch of highway that day is 67 miles per hour with a standard deviation of 3.5 miles per hour.
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