It is unusual for the sampling mean to be exactly the same as the population mea
ID: 3289589 • Letter: I
Question
It is unusual for the sampling mean to be exactly the same as the population mean?
No, the probability of the sample mean being equal to the population mean is generally quite high.
Yes, it is unlikely that the sample mean would equal the population mean because of sampling error.
No, a well-designed sample will generally have a mean equal to the population mean.
Yes, the sample mean would likely not equal the population mean because of the Empirical Rule.
A.No, the probability of the sample mean being equal to the population mean is generally quite high.
B.Yes, it is unlikely that the sample mean would equal the population mean because of sampling error.
C.No, a well-designed sample will generally have a mean equal to the population mean.
D.Yes, the sample mean would likely not equal the population mean because of the Empirical Rule.
Explanation / Answer
Ans:
Option D is correct.
Yes, the sample mean would likely not equal the population mean because of the Empirical Rule.
Explanation:
The empirical rule, also known as the three-sigma rule or the 68-95-99.7 rule, provides a quick estimate of the spread of data in a normal distribution given the mean and standard deviation. Specifically, the empirical rule states that for a normal distribution:
The empirical rule is used as a rough gauge of normality. When a number of data points fall outside the three standard deviation range, it can indicate non-normal distributions.
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