Assignment about Two Sample T-test.

Running head: Two-Sample T-test 1
Two – Sample T-test
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Two Sample T-test 2
Two – Sample T –test
T-test is a test statistic that is employed to test for the difference in means between two variables
(Bhattacharyya & Johnson , 2013).
A sample of 20 male and 20 female was taken and their heights measured in centimeters.
The study was conducted to find out whether there was a difference in the heights of the males
and females. The data was obtained from the statdisk data library, http://www.statdisk.org .
Hypothesis
Null: There is no difference in the height of male and females
Versus
Alternative: There is a significant difference in the height of males and females.
This is a two-tailed test since it is non- directional.
The level of significance is 0.05
Assumptions
 The samples are independent of each other.
 The data is normally distributed.
Test result table
t-Test: Two-Sample Assuming Equal
Variances
MALE HEIGHT
(CM)
FEMALE HEIGHT
(CM)
Mean 182.6157895 167.2736842
Variance 40.62807018 36.02426901
Observations 19 19
Pooled Variance 38.32616959
Hypothesized Mean Difference 0
df 36
t Stat 7.638341168
P(T<=t) one-tail 2.43147E-09
t Critical one-tail 1.688297714
P(T<=t) two-tail 4.86293E-09
t Critical two-tail 2.028094001
Table 1