21. Assume that two samples are randomly selected from two normally distributed

Question

21. Assume that two samples are randomly selected from two normally distributed populations with equal variances. Sample 1 has s1 = 3.9 and SS1 = 76.05 and sample 2 has s2 = 3.4 and SS2 = 104.04. What is the pooled variance for the two independent samples?

a. sp2 = 10.65

b. sp2 = 12.86

c. sp2 = 17.42

d. sp2 = 23.29

22. The term dependent sample usually refers to a sample that _______.

a. is randomly selected from two dependent populations

b. uses the same group of individuals with a before/after measurement

c. requires a dependent variable for hypothesis testing

d. consists of people with chemical dependency problems

23. The measurements used in dependent sample t-tests are _____________ scales of measurement.

a. nominal or ordinal

b. interval or nominal

c. interval or ratio

d. ratio or nominal

Explanation / Answer

21. Assume that two samples are randomly selected from two normally distributed populations with equal variances. Sample 1 has s1 = 3.9 and SS1 = 76.05 and sample 2 has s2 = 3.4 and SS2 = 104.04. What is the pooled variance for the two independent samples?

Answer Sp 2 = (SS1 + SS2 )/ (SS1 /s1 2 + SS2 /s2 2 ) = ( 76.05 + 104.04)/ ( 76.05/3.92 + 104.04/ 3.42 )

Sp 2 = 180.09/ ( 5+9) = 180.09/ 14 = 12.86 (optioon b)

22. The term dependent sample usually refers to a sample that.........

Answer : uses the same group of individuals with a before/after measurement (option B)

Dependent samples are paired measurements for one set of items so that will require same group of individuals that means same pairs to do measurement so option B is right.

23. The measurements used in dependent sample t-tests are...... scales of measurement.

Answer . Here dependent sample t- test means paired mean sample t - test. So, nominal are not possible in this case because that only attributes the name and it testing is done by non parametric tests so option C is right that interval or ratio type of measurements used in dependent sample t - tests.

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