2.  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  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

4.  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.

5.  Burger King 1 › 60 Easton Rd Warrington, PA 18976  Burger King 2 › 580 W Street Rd Warminster, PA 18974  Burger King 3 › 560 N Main St Doylestown, PA 18901  Chick-fil-A 1 › 160 Easton Rd Warrington, Pa 18976  Chick-fil-A 2 › 4 West Road Newtown, PA 18940-4301  Chick-fil-A 3 › 2500 W Moreland Rd Willow Grove, PA 19090  KFC 1 › 1865 Easton Rd Willow Grove, PA  KFC 2 › 490 N Main St Doylestown, PA 18901  KFC 3 › 1719 N Broad St Lansdale, PA 19446  Wendy’s 1 › 620 EASTON ROAD WARRINGTON, PA 18976 US  Wendy’s 2 › 400 N Main St Doylestown, PA 18901  Wendy’s 3 › 755 York Rd Ste 204 Warminster, PA 18974  McDonalds 1 › 2395 York Rd Jamison, PA 18929  McDonalds 2 › 210 Inverness Cir Chalfont, PA 18914  McDonalds 3 › 39 Doyle St Doylestown, PA 18901

6. Data for Going Inside

8. Name of Restaurant Time in Minutes Our Overall Average time(mins) McDonalds3:182:33 Burger King3:392:35 Wendy’s2:262:24 KFC3:332:30 Chick-Fli-A3:212:25

9. All Times

11. Drive Thru Times

12. Inside Times  Min = 1.04  Q1 = 1.29  Med = 2.10  Q3 = 2.53  Max = 3.54 Outside Times  Min = 1.01  Q1 = 1.59  Med = 2.25  Q3 = 2.50  Max = 3.56

13. Test 1- Mean difference testing whether the average drive thru time is equal to the average inside timeTest 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 visitedTest 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

14. State 1. SRS 2. Norm pop or n d > 30 Check 1. Used yellowpages.com to find random restaurants 2. 200>30(check)

15. Ho: µ d =0 Ha: µ d ≠ 0 T= x- µ =21.422 s/ n 2P(t > 21.422 | df = 14 ) = 4.229 * 10 -12

16.  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.

17.  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.

18. State 1. SRS 2. Large enough sample size so that all expected values counts > 5 Check 1. Used yellowpages.com to find random restaurants 2. check

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

20.  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.

21.  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)

22.  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

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