(Solved by Humans)-One sample of n = 5 scores has a variance of s 2 = 10 and a

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One sample of n = 5 scores has a variance of s² = 10 and a second sample of n = 10 scores has s² = 20. If the pooled variance is computed for these two samples, then the value obtained will be ________.
1. Cannot be determined without more information.
2. Closer to 20 than to 10
3. Closer to 10 than to 20
4. Exactly half way between 10 and 20

As the observed frequencies get closer to the expected frequencies, the value of the chi-square statistic:
1. Increases.
2. Decreases.
3. Does not change.
4. Not enough information provided.
Under what circumstances should the chi-square statistic NOT be used?
1. If fe > 5 for any cell.
2. If fe < 5 for any cell.
3. If fe = fo for any cell.
4. None of the other options is correct.

Computation problems.

X₁ X₂

6 9

7 6

3 3

6 8

5 7

4 9

4 8

5 7

1. Assume this is an independent samples experiment. What are the resulting t statistic, degrees of freedom, and critical value for an alpha of .05 with two tails? What should we conclude from these data?

1. Assume this is a dependent samples experiment. What are the resulting t statistic and degrees of freedom.

X₃

1. Add in this set. What is the ANOVA statistic? Make an ANOVA table.

Consider the following data set.

	A	B	C	Rows
Male	f_o = f_e = _____	f_o = f_e = _____	f_o = f_e = _____	? row_? = _____
Female	f_o = f_e = _____	f_o = f_e = _____	f_o = f_e = _____	? row_? = _____
Columns	? col_A = _____	? col_B = _____	? col_C = _____	N = _____

Calculate the chi square statistic.

?² =

Short answer, 5 points each.

Why does the t_obt change when we use dependent v. independent samples t-tests?

______________________________________________________________________________

Why does the t_crit change when we use dependent v. independent samples t-tests?

______________________________________________________________________________

How can we figure out how many people we have in a sample, given a specific degrees of freedom? Answer for both independent and dependent samples tests.

______________________________________________________________________________

Which is preferable, a dependent samples test or an independent samples? Give two reasons why.

______________________________________________________________________________

Explain pooled variance.

______________________________________________________________________________

Given the choice, we won?t use the chi-square test. What?s so wrong with it? What are the assumptions associated with the chi-square?

______________________________________________________________________________

Extra credit.

Why do we care about homogeneity of variance?

______________________________________________________________________________

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This question was answered on: 10 May, 2025

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