Question

QUESTION 1

1. We can create a distribution of sample means by selecting all possible random samples of the same size from the population.

	a.	True
	b.	False

QUESTION 3

1. If you select a sample of size 100 from a population of raw scores and construct a distribution of sample means, what shape will the distribution of samples means have?

	a.	left skewed
	b.	right skewed
	c.	approximately normal
	d.	more information is needed about the shape of the population of raw scores

QUESTION 7

1. One reason the central limit theorem is important is that it tells us that sample means are likely to be close in value to the mean of their original population.

	a.	True
	b.	False

QUESTION 8

1. Another reason the central limit theorem is important is that it allows us to compute a measure of sampling error for a study.

	a.	True
	b.	False

Answer 1

Yes, we can create the distribution of sample means in this way. [TRUE Consinder, X = 1 Exi If we choose namples (x,, . . Xn), (xi, xń),... from the popn then dist of Ť can be known from the disth of Xi's, Vi. & More information needed about the shape of the population of raw scores : Consider xo xo to be a sample from NIM, 52). & Yn you from Gamma (2,8). Dist ofx is approximately Normal, ie symmetric, whereas ŷ is skewed. Z OTRUE Central Limit theorem: xe a N(0,1), as no tin ie, E(X) f, as nyo. 8 (b False CLT doesn't give measure of sampling error.