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					   Fast Food restaurants
    have been around
    since 1921 when the first
    White Castle opened.
   First hamburger
    invented in 1916.
   First drive-thru
    restaurant invented in
    1948.
   December 12, 1948 First
    McDonalds opened
   Burger King open in
    the1950s and Wendy’s
    came along in 1969
   Picked a SRS of 3
    types of each
    restaurant by using
    yellowpages.com
   At each place we
    gathered 10 times
    from getting food
    inside and 10 from
    going through the
    drive thru.
                                     KFC 2
                                      ›   490 N Main St
   Burger King 1                         Doylestown, PA 18901
     ›   60 Easton Rd                KFC 3
         Warrington, PA 18976         ›   1719 N Broad St
   Burger King 2                         Lansdale, PA 19446
     ›   580 W Street Rd             Wendy’s 1
         Warminster, PA 18974         ›   620 EASTON ROAD
   Burger King 3                         WARRINGTON, PA 18976 US
     ›   560 N Main St               Wendy’s 2
         Doylestown, PA 18901         ›   400 N Main St
   Chick-fil-A 1                         Doylestown, PA 18901
     ›   160 Easton Rd               Wendy’s 3
         Warrington, Pa 18976         ›   755 York Rd Ste 204
   Chick-fil-A 2                         Warminster, PA 18974
     ›   4 West Road                 McDonalds 1
         Newtown, PA 18940-4301       ›   2395 York Rd
   Chick-fil-A 3                         Jamison, PA 18929
     ›   2500 W Moreland Rd          McDonalds 2
         Willow Grove, PA 19090       ›   210 Inverness Cir
   KFC 1                                 Chalfont, PA 18914
     ›   1865 Easton Rd              McDonalds 3
         Willow Grove, PA             ›   39 Doyle St
                                          Doylestown, PA 18901
             Data for Going Inside
               Inside 1 Inside 2 Inside 3 Inside 4 Inside 5 Inside 6 Inside 7 Inside 8 Inside 9 Inside 10 Avg Inside
B uger K ing 1 1:19          1:28     1:43     2:24     2:14     1:38     3:37     2:48     1:46         1:28    2:02
B uger K ing 2 2:02          1:24     1:19     2:55     1:37     2:20     2:27     1:48     2:52         2:16    2:06
B uger K ing 3 2:01          2:38     1:45     1:43     2:28     3:29     1:13     2:06     1:38         2:22    2:08
C hick-fil-a 1      3:31     3:03     2:28     3:01     3:09     2:40     2:01     1:36     1:17         2:55    2:34
C hick-fil-a 2      3:25     3:54     3:01     2:48     2:44     3:38     1:32     2:05     2:10         1:27    2:40
C hick-fil-a 3      2:46     3:26     2:54     3:23     3:18     1:26     2:47     2:06     3:03         1:47    2:41
McDonalds 1         1:10     1:08     2:11     2:03     1:50     3:18     1:48     2:11     2:54         1:52    2:02
McDonalds 2         2:31     2:56     1:45     2:22     1:44     2:15     3:09     3:18     1:43         3:41    2:32
McDonalds 3         1:10     1:29     3:07     1:22     2:39     1:28     1:15     1:24     2:17         1:04    1:43
K FC 1              1:20     1:25     1:17     2:55     1:09     1:06     1:42     3:07     1:23         1:10    1:39
K FC 2              1:48     1:36     2:00     1:33     3:48     3:19     2:44     1:15     1:23         3:05    2:15
K FC 3              1:52     1:05     2:35     1:17     3:29     3:28     2:29     2:33     3:33         2:40    2:30
Wendy's 1           1:01     1:22     1:08     2:19     1:21     1:17     1:22     2:32     2:10         1:14    1:34
Wendy's 2           1:29     2:54     2:06     2:40     3:14     3:25     2:53     2:15     3:10         2:22    2:38
Wendy's 3           1:50     2:50     2:34     3:02     1:23     1:55     1:44     2:07     2:43         2:37    2:16
                                                       Data for Drive Thru
Drive thru 1 Drive thru 2 Drive thru 3 Drive thru 4 Drive T hru 5 Drive thru 6 Drive thru 7 Drive thru 8 Drive T hru 9Avg Drive T hru
         2:31         2:54         1:59        1:56          2:30         2:06         3:24         2:39          2:21           2:30
         2:40         1:13         1:27        2:02          1:44         1:23         2:22         1:14          2:12           1:51
         2:14         1:50         2:16        1:43          2:15         3:06         2:44         2:14          1:49           2:16
         1:11         1:01         1:14        1:47          1:27         1:20         1:56         1:44          1:43           1:27
         3:23         2:19         1:22        2:23          2:35         1:20         2:34         3:14          3:17           2:32
         2:34         2:12         2:31        2:20          2:42         2:57         2:55         3:01          2:42           2:39
         2:40         2:34         1:01        2:07          1:47         2:22         1:30         1:55          2:24           2:03
         2:50         1:32         1:11        2:11          2:26         2:14         2:29         3:05          1:58           2:07
         2:38         2:30         2:14        3:07          1:57         1:59         2:14         2:10          1:56           2:13
         2:39         2:54         2:43        2:32          3:15         2:33         2:16         2:44          2:21           2:39
         3:33         3:27         3:09        2:44          3:10         2:47         3:26         2:10          2:25           3:02
         2:55         2:10         3:07        3:07          3:08         3:34         2:15         2:28          3:15           2:59
         3:51         2:31         2:50        2:32          3:17         3:49         2:15         3:51          2:42           2:57
         2:30         3:07         2:43        1:50          3:22         2:01         2:48         2:09          1:59           2:28
         3:10         2:55         2:43        2:01          2:28         1:58         2:14         2:18          3:03           2:27
b
                   Av g O v e rall   Name of       Time in    Our Overall
B ug e r K ing 1             2:16    Restaurant    Minutes   Average
B ug e r K ing 2             1:58
                                                             time(mins)
B ug e r K ing 3             2:12
C hic k-fil-a 1              2:00
C hic k-fil-a 2              2:36    McDonalds     3:18      2:33
C hic k-fil-a 3              2:40
Mc D onalds 1                2:02
Mc D onalds 2                2:19
                                     Burger King   3:39      2:35
Mc D onalds 3                1:58
K FC 1                       2:09    Wendy’s       2:26      2:24
K FC 2                       2:38
K FC 3                       2:44    KFC           3:33      2:30
We ndy's 1                   2:16
We ndy's 2                   2:33
We ndy's 3                   2:22    Chick-Fli-A   3:21      2:25
                 0:00
                        0:28
                               0:57
                                      1:26
                                             1:55
                                                    2:24
                                                           2:52
                                                                  3:21
                                                                         3:50
                                                                                     4:19

      Inside 1

      Inside 2

      Inside 3

      Inside 4

      Inside 5

      Inside 6

      Inside 7

      Inside 8

      Inside 9

     Inside 10

   Avg Inside

  Drive thru 1

  Drive thru 2
                                                                                All Times




  Drive thru 3

  Drive thru 4

  Drive Thru 5

  Drive thru 6

  Drive thru 7

  Drive thru 8

  Drive Thru 9

 Drive thru 10

Avg Drive Thru

  Avg Overall
      KFC 3
      KFC 2
      KFC 1




      Wendy's 3
      Wendy's 2
      Wendy's 1
      Chick-fil-a 3
      Chick-fil-a 2
      Chick-fil-a 1
      Buger King 3
      Buger King 2
      Buger King 1




      McDonalds 3
      McDonalds 2
      McDonalds 1
                                       Inside Times

4:19


3:50

                                                                                      Buger Kin
3:21                                                                                  1
                                                                                      Buger Kin
                                                                                      2
2:52                                                                                  Buger Kin
                                                                                      3
                                                                                      Chick-fil-a
2:24                                                                                  1
                                                                                      Chick-fil-a
                                                                                      2
1:55                                                                                  Chick-fil-a
                                                                                      3
                                                                                      McDona
1:26
                                                                                      s1
                                                                                      McDona
0:57                                                                                  s2
                                                                                      McDona
                                                                                      s3
0:28                                                                                  KFC 1

                                                                                      KFC 2
0:00
       Inside Inside Inside Inside Inside Inside Inside Inside Inside Inside Av g     KFC 3
          1      2      3      4      5      6      7      8      9     10   Inside   Wendy's
                                                 Drive Thru Times
4:19



3:50



3:21
                                                                                                                                        2:31
                                                                                                                                        2:40
2:52                                                                                                                                    2:14
                                                                                                                                        1:11
                                                                                                                                        3:23
2:24
                                                                                                                                        2:34
                                                                                                                                        2:40
1:55                                                                                                                                    2:50
                                                                                                                                        2:38
                                                                                                                                        2:39
1:26
                                                                                                                                        3:33
                                                                                                                                        2:55
0:57                                                                                                                                    3:51
                                                                                                                                        2:30
                                                                                                                                        3:10
0:28



0:00
       Drive thru   Drive thru   Drive thru 4 Drive Thru 5 Drive thru 6 Drive thru 7 Drive thru 8 Drive Thru 9 Drive thru   Avg Drive
            2            3                                                                                         10         Thru
5 Number Summary

Inside Times     Outside Times

   Min = 1.04      Min = 1.01
   Q1 = 1.29       Q1 = 1.59
   Med = 2.10      Med = 2.25
   Q3 = 2.53       Q3 = 2.50
   Max = 3.54      Max = 3.56
                              The Tests

•Test 1- Mean difference testing
whether the average drive thru time is
equal to the average inside time
•Test 2- Chi-Square Goodness of Fit test,
Testing weather the average drive thru
time found is equal to the national
average for each restaurant visited
                      Assumptions

         State            Check
1.   SRS         1.   Used
2.   Norm pop         yellowpages.com to
       or             find random
                      restaurants
     nd > 30
                 2.   200>30(check)
                                  Test One

Ho: µd=0
Ha: µd≠ 0

T= x- µ =21.422
  s/ n
2P(t > 21.422 | df = 14 ) = 4.229 * 10-12
                           Conclusions

 We reject ho in favor of Ha because the
  p-value of 4.229 * 10-12 is less then α =
  .05.
 We have sufficient evidence that the
  average times of Inside times and Drive
  Thru times are not equal.
                Confidence Interval

 X ± (t*)(s/ n) =( -.295, .62834)
 We are 99% confident that the mean
  difference of Drive thru times and inside
  times is between -.295 and .62834 mins.
                                Assumptions

          State                     Check
1.   SRS                   1.   Used
2.   Large enough               yellowpages.com to
     sample size so that        find random
     all expected values        restaurants
     counts > 5            2.   check
                                                     Test Two
Ho: the observed frequency distribution Of the average drive
   thru time fit the expected distribution
Ha: the observed frequency distribution Of the average drive
   thru time doesn’t fit the expected distribution

     (obs. – exp.)2/exp.
Χ²= Σ                  = (2.20-3.39)2 / 3.39 + (2.21-3.21)2 / 3.21+ … =
                             = 1.3135
P(Χ² > 1.3135 |df = 4) = .8591
                              Conclusion

   We fail to reject Ho because the p-value
    of .8591 is greater then α = .05.

   We have sufficient evidence that the
    observed frequency distribution Of the
    average drive thru time fit the expected
    distribution.
Margin Of Error

 ordering different things or amount in
  which you order
 different time of day (how busy)
 Number of people on shift
 who serves you
 timing not accurate(human error)
                            Application

 The collection of data we did find
  somewhat difficult just because of the
  huge amount of data needed.
 We started out by buy all the food
  ourselves but then reverted to just timing
  people b/c of costs.
 Project was fun but challenging
                       Application Cont.

   The Results for test
    one were not
    surprising
   The results for test
    two were surprising
    either b.c. they fit
    with the national
    averages

				
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