STUDY PROCEDURE
Data collection was straightforward, and I recorded the grand
total before coupons for every customer that went through my line
on the days 4/5, 4/11, 4/12, 4/18, and 4/19. By recording data for
every single customer that passed through my line, I simplified
the sampling process, and got the most representative sample I
could get, along with a very large sample for both men and women.
Hypothesis Test:
1. Both of the conditions for a Two-Sample T-Test are met because the samples for men and women are both greater than 30, and my sampling technique ensured randomization. I selected the Two-Sample T-Test so that I could use a test statistic to compare the means of two distinct sets of data.
2. Mu-1 = the population mean for women
Mu-2 = the population mean for men
3. H0 : Mu-1 - Mu-2 = 0
HA: Mu-1 - Mu-2 > 0
4. X-1 = 58.6
X-2 = 52.0 Alpha = 0.05
5.
1. Both of the conditions for a Two-Sample T-Test are met because the samples for men and women are both greater than 30, and my sampling technique ensured randomization. I selected the Two-Sample T-Test so that I could use a test statistic to compare the means of two distinct sets of data.
2. Mu-1 = the population mean for women
Mu-2 = the population mean for men
3. H0 : Mu-1 - Mu-2 = 0
HA: Mu-1 - Mu-2 > 0
4. X-1 = 58.6
X-2 = 52.0 Alpha = 0.05
5.
Two-sample T for Women vs Men
N Mean StDev SE Mean
Women 120 58.6 47.7 4.4
Men 40 52.0 38.5 6.1
Women 120 58.6 47.7 4.4
Men 40 52.0 38.5 6.1
Difference = mu (Women) - mu (Men)
Estimate for difference: 6.57
95% CI for difference: (-8.32, 21.46)
T-Test of difference = 0 (vs not =): T-Value = 0.88 P-Value = 0.383 DF = 82
6. P-value > Alpha
0.383 > 0.05
7. Because the P-value is greater than alpha at the 0.05 level of significance, the null hypothesis is failed to be rejected at any reasonable level of significance. Thus, there is enough evidence to conclude that there is no significant difference between the average grand total for groceries for men and women.
Estimate for difference: 6.57
95% CI for difference: (-8.32, 21.46)
T-Test of difference = 0 (vs not =): T-Value = 0.88 P-Value = 0.383 DF = 82
6. P-value > Alpha
0.383 > 0.05
7. Because the P-value is greater than alpha at the 0.05 level of significance, the null hypothesis is failed to be rejected at any reasonable level of significance. Thus, there is enough evidence to conclude that there is no significant difference between the average grand total for groceries for men and women.
