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For the purposes of this exercise, consider that the class’ data are the populat

ID: 3271878 • Letter: F

Question

For the purposes of this exercise, consider that the class’ data are the population of interest. In other words, there are no other biostats classes anywhere that you are interested in.

1. Compare and contrast the histogram of the population to that of the random sample.
2. Why does the sample mean differ from the population mean?
3. Do you think these samples are representative of target population?
4. Describe the difference between an estimate and a parameter.
5. What is the parameter we are interested in for this example?

Population summa ry 60 65 70 75 80 Height (in) ## Min. 1st Qu. Median Mean 3rd Qu. Max . ## 59.00 64.00 65.00 66.24 68.00 77.00

Explanation / Answer

Since the 5 number summary of both the histograms is quite similar, this means that this particular sample is actually a good representative of the target population.

The sample mean differs from the population mean because the sample is not exactly the same as the population, so it is natural that it will have different composition than the population and hence will have a slight difference in the mean as well.

An estimate is also called as the statistic. This is used to describe the sample, where as a parameter is used to describe the whole population.

The parameter of interest in this case might be the mean height of the class.

Hope this helps !