e. Calculateestimated variance for population 1 (12) and estimated variance for population 2 (22)

d. Calculate df₁ , df₂, and df_total

e. Calculateestimated variance for population 1 (₁²) and estimated variance for population 2 (₂²)

f. Calculate the pooled variance (S_pooled²) from the two population variances

g. Use the pooled variance (from question f above) to calculate the variance for sampling distribution 1 (S_M1²) and the variance for sampling distribution 2 (S_M2²)

h. Calculate standard deviation (S_diffmean)of the comparison distribution

i. Calculate the t statistic

j. For the two-tailed test, find the critical t values for this hypothesis test based on the total degree of freedom (from question d above), and the preset alpha level.

k. Compare the calculated t statistic with the critical t value by stating which is more “extreme”, and then draw a conclusion about the hypothesis test by stating clearly “reject” or “fail to reject” the null hypothesis.

l. Calculate the pooled standard deviation for the populations (use the pooled variance calculated in question f); and then calculate the standardized effect size of this test.

m. Based on the hypothesis test, is there a significant difference in education level between the males and the females in the sample? If so, in what direction is the gender difference?  ATTACHMENT PREVIEW

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