Question

Eight statistics student are given the “Hayashi Test of Extreme Good Looks” (HTEGL). Their scores are the following: 14, 8, 6, 5, 13, 10, 10, 6.

The eight statistics come back 20 years later and have HTEGL scores of 13, 7, 5, 4, 12, 9, 6, 8. Conduct a t-test to see if they are significantly better looking.

Answer 1

Ans:

d=earlier-after 20 years

$H_0:\mu _d\geq 0$

$H_a:\mu _d<0$

	earlier	after 20	d
1	14	13	1
2	8	7	1
3	6	5	1
4	5	4	1
5	13	12	1
6	10	9	1
7	10	6	4
8	6	8	-2
		d-bar	1
		sd	1.604

Test statistic:

t=(1-0)/(1.604/SQRT(8))

t=1.764

df=8-1=7

p-value=tdist(1.764,7,1)=0.0605

Fail to reject the null hypothesis.

There is not sufficient evidence to conclude that they are significantly better looking after 20 years.