Question

Let's illustrate the idea of a sampling distribution in the case of a very small sample from a very small population. The given population is the scores of ten female students in a class. Student 0 1 2 3 4 5 6 7 8 9 Weight 136 99 118 129 125 170 130 128 120 147 The parameter of interest is the mean weight in pounds ???? in this population. The sample is an SRS of size ????=4 drawn from the population. Because the students are labeled zero to nine, a single random digit from Table A chooses one student for the sample. (a) Find the mean of the ten weights in the population. This is the population mean ???? . (Enter your answer rounded to one decimal place.)

Answer 1

a: sample mean: 130.2 pounds

This is not the population mean

Explanation:

To find the mean weight of the sample, add up all the values and divide by the total number of values entered. In this case, 10, so we have...

mean: (136 + 99 + 118 + 129 + 125 + 170 + 130 + 128 + 120 + 147)/10 =

1302/10 = 130.2

This is not the population mean. It is the mean of the sample. We would have to know more information to make a conjecture about the population mean.