Question

Use the following information to run a t-Test. Write a paragraph description about the information you found and the conclusions you can draw.

- what is the null hypothesis?

- what is the alternative?

- what is the test statistic and is it statistically significant?

- can you accept/reject the null hypothesis? why?

Every morning, I remember we went to the garden to weed our crops. I remember one day arguing with my brother as to why he always remained behind just to join us an hour later. In his defense, he said that he preferred waiting for breakfast before he came to weed. He said, “This is why I always work more hours than you guys!”

And so, to prove him wrong or right, we decided to give it a try. One day we went to work as usual without breakfast, and recorded the time we could work before getting tired and stopping. On the next day, we all ate breakfast before going to work. We recorded how long we worked again before getting tired and stopping. Of interest was our mean increase in work time. My brother insisted that it was more than two hours.

This is the info I received from running a t- test : two sample assuming equal variances on excel shown below. and below that is the chart with the hours

t-Test: Two-Sample Assuming Equal Variances
	Variable 1	Variable 2
Mean	7.8	5.7
Variance	2.4	1.122222222
Observations	10	10
Pooled Variance	1.761111111
Hypothesized Mean Difference	2
df	18
t Stat	0.168496787
P(T<=t) one-tail	0.434035682
t Critical one-tail	1.734063607
P(T<=t) two-tail	0.868071365
t Critical two-tail	2.10092204

Work hours with breakfast	Work hours without breakfast
8	6
7	5
9	5
5	4
9	7
8	7
10	7
7	5
6	6
9	5

Answer 1