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\"To Breakfast or Not to Breakfast?\" by Richard Ayore

In the American society, birthdays are one of those days thateveryone looks forward to. People of different ages and peer groupsgather to mark the

18^th, 20^th,   ,

birthdays. During this time, one looks back to see what he orshe has achieved for the past year and also focuses ahead for moreto come.

If, by any chance, I am invited to one of these parties, myexperience is always different. Instead of dancing around with myfriends while the music is booming, I get carried away by memoriesof my family back home in Kenya. I remember the good times I hadwith my brothers and sister while we did our daily routine.

Every morning, I remember we went to the shamba (garden) to weedour crops. I remember one day arguing with my brother as to why healways remained behind just to join us an hour later. In hisdefense, he said that he preferred waiting for breakfast before hecame to weed. He said, \"This is why I always work more hours thanyou 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 recordedthe time we could work before getting tired and stopping. On thenext day, we all ate breakfast before going to work. We recordedhow long we worked again before getting tired and stopping. Ofinterest was our mean increase in work time. Though not sure, mybrother insisted that it was more than two hours. Using the data inthe table below, solve our problem. (Use

α = 0.05)

• State the distribution to use for the test. (Enter your answerin the form z or t_df wheredf is the degrees of freedom.)

• Part (e)

  What is the test statistic? (If using thez distribution round your answer to two decimal places,and if using the t distribution round your answer to threedecimal places.)

• Part (f)

  What is the p-value?

Work hours withbreakfast	Work hours withoutbreakfast
8	6
6	5
10	6
5	4
9	7
8	7
10	7
7	5
6	6
9	5