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The following data are from a simple random sample: 6,8,11,9,15,176, 8, 11, 9, 15, 17, then the point estimate of the population mean is

Solution

✅ Correct Option: 3

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

Given data: 6,8,11,9,15,176, 8, 11, 9, 15, 17


Calculate the sum of all values:

6+8=146 + 8 = 14

14+11=2514 + 11 = 25

25+9=3425 + 9 = 34

34+15=4934 + 15 = 49

49+17=6649 + 17 = 66

Sum =66= 66


Count the number of values in the sample:

n=6n = 6


Calculate the sample mean using the formula:

Mean=Sum of all valuesNumber of values\text{Mean} = \dfrac{\text{Sum of all values}}{\text{Number of values}}

Mean=666\text{Mean} = \dfrac{66}{6}

Mean=11\text{Mean} = 11


Therefore, the point estimate of the population mean is 1111.

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