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Taste the Rainbow
By: Esbeyde and Stephanie
        Saldana
Survey
What is your favorite Skittles flavor?
                 (circle one please)

Grape (purple)    Lemon (yellow)       Lime (green)
     Orange (orange)        Strawberry (red)




     Gender: Male or Female :]
Is there a preference in flavor?
              ora ng e              lim e



s tra w b e rry
                                            g ra pe


                         le m o n
Ho: There is no
preference in flavor.




  Ha: There is a
preference in flavor.
Chi-Square
    Goodness-of-Fit Test

       ( observed− expected )
                                2

χ =∑
2

              expected
Check Conditions
    Random

  Independent

    Normal
Orange   Strawberry
n=66       Grape Lemon   Lime


Observed

           9 7 11 7 32
Expected
           (13.2) (13.2) (13.2) (13.2) (13.2)
X²= 34.3
  P≈ 0
 Df= 5
•   Are gender and choice Skittles flavor independent?

            ora ng e                lim e



tra w b e rry                                  g ra p
                                               e
                       le m o n
Ho: Gender and
 Skittles preference
 are independent.

Ha: Gender and
 Skittles preference
 are not independent.
grape lemon          orange strawberry
                       lime

     2      2      5      5      9
Male (3.14) (2.44) (3.83) (2.44) (11.15)

Female   7      5      6      2      23
         (5.86) (4.56) (7.17) (4.56) (20.85)


  Male n= 23             Female n=43
• Not enough in the
  expected count.
  Conditions were not met.
Potential Errors &
Recommendations
       Have a larger sample size
  Make people eat a different flavor first
 Give only one of each Skittles flavor
          Blind taste test
           Provide water
By: Esbeyde and Stephanie Saldana

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2012 AP Stats Project (7)

  • 1. Taste the Rainbow By: Esbeyde and Stephanie Saldana
  • 2.
  • 3. Survey What is your favorite Skittles flavor? (circle one please) Grape (purple) Lemon (yellow) Lime (green) Orange (orange) Strawberry (red) Gender: Male or Female :]
  • 4. Is there a preference in flavor? ora ng e lim e s tra w b e rry g ra pe le m o n
  • 5. Ho: There is no preference in flavor. Ha: There is a preference in flavor.
  • 6. Chi-Square Goodness-of-Fit Test ( observed− expected ) 2 χ =∑ 2 expected
  • 7. Check Conditions Random Independent Normal
  • 8. Orange Strawberry n=66 Grape Lemon Lime Observed 9 7 11 7 32 Expected (13.2) (13.2) (13.2) (13.2) (13.2)
  • 9. X²= 34.3 P≈ 0 Df= 5
  • 10.
  • 11. Are gender and choice Skittles flavor independent? ora ng e lim e tra w b e rry g ra p e le m o n
  • 12. Ho: Gender and Skittles preference are independent. Ha: Gender and Skittles preference are not independent.
  • 13. grape lemon orange strawberry lime 2 2 5 5 9 Male (3.14) (2.44) (3.83) (2.44) (11.15) Female 7 5 6 2 23 (5.86) (4.56) (7.17) (4.56) (20.85) Male n= 23 Female n=43
  • 14. • Not enough in the expected count. Conditions were not met.
  • 15. Potential Errors & Recommendations  Have a larger sample size  Make people eat a different flavor first  Give only one of each Skittles flavor  Blind taste test  Provide water
  • 16. By: Esbeyde and Stephanie Saldana