Does anyone have a link or advice on how to form your hypothesis testing for a t

Question

Does anyone have a link or advice on how to form your hypothesis testing for a two sample test? Another words how would I form my H0.andHa ? I get the math part of , but I have a hard time getting the formation down. Can anyone point me in the right direction?
Here is an example of such a question:

A Health Department experimented with a flexible four-day work week. For a year, the department recorded the mileage driven by 11 field workers who worked an ordinary five-day work week. Then it changed to a flexible four-day work week and recorded the mileage of those same 11 field workers for another year. The results are below.

Five-day mileage                Four-day mileage                Difference

Sample size 11 11 11

Sample average 4954.82 3972.83 982

Sample std dev 3160.91 2717.16 1139.57   

Is there sufficient evidence to conclude at the a=.05 level of significance that there was a change in the average number of miles driven? What is the p-value of you test statistic?

I know how to get the answer, I just am stuck on forming my hypothesis.

Explanation / Answer

State the Hypotheses

Every hypothesis test requires the analyst to state a null hypothesis and an alternative hypothesis. The hypotheses are stated in such a way that they are mutually exclusive. That is, if one is true, the other must be false; and vice versa.

The table below shows three sets of null and alternative hypotheses. Each makes a statement about the difference d between the mean of one population 1 and the mean of another population 2. (In the table, the symbol means " not equal to ".)

The first set of hypotheses (Set 1) is an example of a two-tailed test, since an extreme value on either side of the sampling distribution would cause a researcher to reject the null hypothesis. The other two sets of hypotheses (Sets 2 and 3) are one-tailed tests, since an extreme value on only one side of the sampling distribution would cause a researcher to reject the null hypothesis.

When the null hypothesis states that there is no difference between the two population means (i.e., d = 0), the null and alternative hypothesis are often stated in the following form.

H0: 1 = 2
Ha: 1 2

Read for more details on :

http://stattrek.com/hypothesis-test/difference-in-means.aspx

Hope this helps.

Set Null hypothesis Alternative hypothesis Number of tails 1 1 - 2 = d 1 - 2 d 2 2 1 - 2> d 1 - 2 < d 1 3 1 - 2< d 1 - 2 > d 1

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