How the Data Was Obtained

To obtain the samples for my study I went to Malley's on the 13th, 14th, 15th, and 16th of May, 2014. I sat at a table where I had a good view but was descrete about my doings. I kept a stop watch with me and started the timer as soon as the clock hit 4 o' clock. Every time someone walked in, I would mark a tally on my paper under the category they followed; either men or women, at that specific 15 minute interval.  When the timer stopped after 15 minutes, I would resart it and count the next fifteen minutes.  I did this same process until 6 o' clock all 4 of those days.

 

The population I took my samples from was any man or woman that walked into the Malley's store. Every day, I would have 9 samples frmom within the 2 hours I spent at the store. My population of interest does not get any more specific than any man or woman that comes into the store.

 

  GraphsData

 

                         Hypothesis Test Results

 

1

µ1 = the true mean number of men that go to Malley’s within a 15 minute interval.

µ2 =the true mean number of women that go to Malley’s within a 15 minute interval.

2

Ho:  µ1= µ2

3

Ha:  µ1- µ2≠0

4

α = 0.05 

5

Description: http://www.nohsteachers.info/PCaso/AP_Statistics/IMAGES/t-for-2-samp.gif

6

Assumptions: 1.Both Samples are random
                          2. The population is normal because n1 = 36>30 and n2 = 36>30 so the Central Limit                          Theorem applies

7

t = -0.60 at 69 degrees of freedom

8

p-value = 0.553

9

Conclusion: We fail to reject the null hypothesis at the .05 level of significance because the p-value is > α. Therefore, there is not sufficient evidence to say that the true mean number of men that go to Malley’s within a 15 minute interval is different than the mean number of woman that go to Malley’s within a 15 minute interval.