Question

Recently, a local newspaper reported that part time students are older than full time students. In order to test the validity of its statement, two independent samples of students were selected.

	Full Time	Part Time
	27	23
s	5	4
n	42	31

State whether this is a two-tail, one-tail(upper), one-tail(lower) hypothesis test.

Question options:

A	one-tail(upper)
B	two-tail but in the upper tail
C	one-tail(lower)
D	two-tail

Answer 1

$\mu_1 =$ Part time

$\mu_2 =$ Full time

Claim :  

  part time students are older than full time students.

Test Hypothesis :-

$H_0 : \mu_1 = \mu_2$

$H_a : \mu_1 >\mu_2$

So, given test is one tailed (upper).

Answer : option "A" is correct.