Please show the process with the correct numbers in the formulas

I need to learn this

2.

They want to see if the females and the males differ significantly on the education level (number of years of formal schooling). The researchers are not predicting any direction in the possible gender differences so the hypotheses should be non-directional. They would like to run a two-tailed test with = .05.

Male Subject ID	Education		Female Subject ID	Education
1	14		13	18
2	15		14	15
3	14		15	17
4	16		16	13
5	13		17	16
6	16		18	18
7	17		19	18
8	13		20	16
9	15		21	14
10	13		22	14
11	15		23	18
12	14		24	16
			25	17
			26	13

B1. Calculate estimated variance for population 1 (₁²) and estimated variance for population 2 (₂²)

[2 points] 1 point for each variance, .5 if the process is correct but the answer is wrong

formula

s2 = [(X-M)^2]/N-1

B2. Calculate the pooled variance (S_pooled²) from the two population variances (from question e above)

[1 point] .5 if the process is correct but the answer is wrong

Pooled Variance:

Spooled2 = (df1 / df total) (S1^2) + (df2 / df total)(S2^2)

B3. 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)

Forumla

SM1^2 = Spooled^2/N1 SM2^2 = Spooled^2/N2

B4. Calculate standard deviation (S_diffmean)of the comparison distribution.

Formula

SDiffMean2 = SM1^2 + SM2^2 OR SDiffMean = SM1^2 + SM2^2

B5.Calculate the t statistic

Formula t = (M-m)/SE *t statistic = t *Sample Mean = M *Population Mean =m *Standard Error (or SD of Sampling Distribution) = SE