3. A researcher wants to estimate the mean amount of money that teachers spend o

Question

3. A researcher wants to estimate the mean amount of money that teachers spend out of their own pocket for school supplies. For each sample described below, explain whether or not the sample could be used to draw a conclusion about all teachers. a) A sample of 30 teachers all from the same private school in an affluent neighborhood. b) A randomly selected sample of 100 teachers with a shape that is fairly symmetric, mean of $75, standard deviation of $25, and one outlier at $250. c) A randomly selected sample of 10 teachers with standard deviation of S25, and one outlier at $250.

Explanation / Answer

A) the sample cannot be used to draw conclusion about all teachers as the sample is drawn from a single School it doesn't include the teacher from other different School. We can call this sample as not random.

B) which sample can be used to draw the conclusion do the presence of an outlier will affect the mean and the standard deviation but the sample is large enough (n=100>30) and the sample is random

C) this sample cannot be used to draw the conclusion as the sample size is less than 30 do the sample is random but the presence of an outlier will affect the mean and the standard division on a great deal

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