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McDonald

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Wendy s Confidence Interval McDonald s Data McDonalds Chalfont McDonald s Warrington 171 -187 173.2 -216 170.6 -186 187 -200 179 -204.5 183 -201.6 ... – PowerPoint PPT presentation

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Title: McDonald


1
McDonalds vs. WendysWho Gives You More for
your Money
  • By Brandon Fell
  • and Jamie Weltz

2
McDonalds Background
  • Worlds largest chain of fast food restaurants
  • Started by the two brothers Richard and Maurice
    as a single hamburger stand in San Bernardino,
    California
  • First location was 14th and E Streets in 1948
  • Sold the restaurant chain to Ray Kroc for 2.7
    million dollars

3
Wendys Background
  • First Wendys old fashioned Hamburger restaurant
    opened in downtown Columbus Ohio in 1969
  • Founded by Dave Tomas and named after his
    daughter Melinda Wendy Thomas (Wendy a nickname
    given by her brothers and sisters
  • Dave Thomas worked with the KFC owner Colonel
    Sanders

4
Purpose
  • The purpose of our project is to research which
    fast food corporation overfills their large fry
    more. Each company has their own set weight of
    what a proper large fry should weigh. For Wendys
    it is 184 grams and McDonalds it is 170 grams.
    We are going to test which store overfills their
    large fry more compared to the claimed amount.

5
Purpose
  • We are also going to test which company has
    larger hamburgers compared to their claimed
    weights of, McDonalds at 33 grams and Wendys at
    37 grams.

6
The Process
  • We decided to randomly choose which McDonalds
    and Wendys we would conduct our project on,
    within reasonable distance.
  • We ordered 10 fries from each location, and five
    burgers to weigh.
  • For our two sample t-test we tested the
    difference between the actual weight and the
    claimed weight to see if McDonalds indeed
    overflowed their food more then Wendys.

7
Wendys Data
  • Wendys Lansdale Wendys Warrington
  • 216.5 -189
  • 191 -201
  • 185 -187
  • 209.5 -193
  • 187.9 -196
  • 191 -188
  • 187 -200
  • 193 -187
  • 204 -191
  • 201 -193

8
Wendys Data
  • Wendys Doylestown
  • 189
  • 201
  • 187
  • 193
  • 196
  • 192
  • 197
  • 196
  • 188
  • 194

9
Wendys 1-Var Stats
  • 194.13
  • Sx 7.2426
  • Five Number Summary
  • Min 185
  • 188
  • Median 193
  • 197
  • Max 216.5 180 185 190
    195 200 205 210 215 220

10
One Sample T-Test
  • 1.SRS 1.assumed
  • 2.normal population or 2.30 30
  • n 30

11
One Sample T-Test Wendys
  • Ho
  • Ha
  • Test Statistic
  • 7.661
  • P(t gt 7.661) 9.519

12
Conclusion
  • We reject the Ho because the p-value is less than
    alpha level of .05. We have sufficient evidence
    that the mean weight of the Wendys large fry is
    greater then 184 grams.
  • This shows that, indeed the Wendys large are
    generally overflowed.

13
Wendys Confidence Interval
( 191.29, 196.97 )
We are 96 confident the mean weight of the
Wendys large fry is between 191.29 grams and
196.97 grams.
14
McDonalds Data
  • McDonalds Chalfont McDonalds Warrington
  • 171 -187
  • 173.2 -216
  • 170.6 -186
  • 187 -200
  • 179 -204.5
  • 183 -201.6
  • 191 -200
  • 176 -198
  • 184 -184
  • 179 - 192

15
McDonalds Data
  • McDonalds Doylestown
  • 175.2
  • 181
  • 172
  • 192
  • 179
  • 180
  • 179.6
  • 193
  • 191
  • 176

16
McDonalds One-Var Stats
185.523
Sx 10.9204
  • 5- Number Summary
  • Min170.6
  • 176
  • -Median184
  • 192
  • Max 210

170 175 180 185 190 195 200 205 210
17
McDonalds One Sample T Test
  • 1.SRS 1.assumed
  • 2.normal population or 2.30 30
  • n 30

18
McDonalds T-Test
  • Ho M 170
  • Ha M gt 170
  • Test Statistic

7.786
P( t gt 7.786) 6.91
19
Conclusion
  • We reject the Ho because the p-value is less than
    alpha level of .05. We have sufficient evidence
    the mean weight of a McDonalds large fry is
    greater than 170 grams.
  • In this test we, as well, proved that the
    McDonalds large fries are overflowed.

20
McDonalds Confidence Interval
( 181.24, 189.81 )
We are 96 confident the mean weight of the
McDonalds large fry is between 181.24 grams and
189.81 grams.
21
Two Sample T-Test
  • Assumptions
  • 1. Two independent SRS
  • 2. Two Normal Populations
  • or
  • N1 and N2 30
  • Check
  • Performed
  • 30 30 and 30 30

22
Two Sample T-Test
  • Test Statistic

2.2543
P( t gt 2.2543) .0142
23
Conclusion
  • We reject the Ho because the p-value is less than
    alpha level of .05. We have sufficient evidence
    that the mean overflow of McDonalds large fries
    is greater than the mean overflow of Wendys
    large fries.

24
Burger Test Assumptions
  • Assumptions
  • 1. Two independent SRS
  • 2. Two Normal Populations
  • or
  • N1 and N2 30
  • Check
  • Performed
  • Performed test without meeting assumption

25
Two Sample Burger T-Test
  • gt

gt
-11.3526
P (t gt -11.3526) 9.74 x 10-12
26
Conclusion
  • We reject the Ho because the p-value is less than
    alpha level of .05. We have sufficient evidence
    that the mean extra weight of McDonalds
    hamburger is greater than the mean extra weight
    of Wendys hamburger.

27
Bias/Error
  • Errors in measuring with the scale
  • Different workers serving the fries
  • Different amounts of salt

28
Personal Conclusion
  • In completing this project we learned new facts
    about the fast food industry. We proved that even
    though the company says their large fries are a
    certain size, this may not be true. We proved
    that at both Wendy's and McDonalds the average
    weight of their large fries were both more then
    the claimed weight. As well as discovering that
    McDonalds burgers are larger compared to their
    claimed weight then the burgers at Wendy's.
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