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The simple random sample consists of six observations: 5, 8, 10, 7, 10, 14. The point estimate of the population mean is:

Solution

✅ Correct Option: 3

The sample observations are: 5, 8, 10, 7, 10, 14

The number of observations is 6.

The point estimate of the population mean is the sample mean.


Sum of all observations:

5+8+10+7+10+145 + 8 + 10 + 7 + 10 + 14

=54= 54


Sample mean:

Sample Mean=Sum of observationsNumber of observations\text{Sample Mean} = \dfrac{\text{Sum of observations}}{\text{Number of observations}}

=546= \dfrac{54}{6}

=9= 9


Therefore, the point estimate of the population mean is 9.

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