Question

Create an example study (can be fictitious) that uses the t-test to see if there is a difference between the means in 2 independent samples. State the H0 and Ha. Describe any variables in the study and the level of measurement.

Answer 1

Two sample t test used when we have two independent sample Ie 2 sample t test.

Example : a company study working hours of male and female in company. There are total 200 total people out of 120 are male with sample mean 23 and sample standard deviation is 8 and 80 of female with sample mean 21 and sample standard deviation is 5 use alpha 5 % level.

claim: in company claim that mean of male work different than mean number of female work hours.

Here sample 1 is male and sample 2 is female

Ho : u1 = u2 vs H1 : u1 not equal to u2

It is two tailed test.

(Similarly we can test as right and left sided test.)

Test statistic = t

We can find p value

Decision :: we can use p value approach we reject Ho if p value is less than alpha value.

Conclusion : it is depend upon the what decision we got.