How many s k i t t l e s are in a 2 17 ounce bag
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How Many S k i t t l e s Are In a 2.17 Ounce Bag?. By: Ryan Riling & Tom Dougherty. H i s t o r y. Skittles production originated in England First introduced to United States in 1974 Owned by Mars Inc. Skittles factories are located in U.S, Victoria, Australia, and New Zealand

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How Many S k i t t l e s Are In a 2.17 Ounce Bag?

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How many s k i t t l e s are in a 2 17 ounce bag

How Many Skittles Are In a 2.17 Ounce Bag?

By: Ryan Riling & Tom Dougherty


How many s k i t t l e s are in a 2 17 ounce bag

History

  • Skittles production originated in England

  • First introduced to United States in 1974

  • Owned by Mars Inc.

  • Skittles factories are located in U.S, Victoria, Australia, and New Zealand

  • Advertising campaigns are associated with rainbows

  • “Taste the Rainbow”


How many s k i t t l e s are in a 2 17 ounce bag

Purpose

-We wanted to determine whether or not Mars Inc. (producer of Skittles) was fairly filling their bags with the claimed amount.

-We decided to purchase 35 standard sized bags of Skittles (2.17 ounce) and test to determine if Skittles consumers are getting their money’s worth.


How many s k i t t l e s are in a 2 17 ounce bag

Retail Stores

-AcmeFive 2.17 oz. Bags

-Genuardi’sFive 2.17 oz. Bags

-GiantFive 2.17 oz. Bags

-Redner’sFive 2.17 oz. Bags

-CVSFive 2.17 oz. Bags

-WawaFive 2.17 oz. Bags

-7-11Five 2.17 oz. Bags

TOTAL = 35 BAGS


How many s k i t t l e s are in a 2 17 ounce bag

Data


How many s k i t t l e s are in a 2 17 ounce bag

Graphs


How many s k i t t l e s are in a 2 17 ounce bag

Graphs (Cont.)

Five Number Summary

Minimum = 53 Quartile 3 = 63

Quartile 1 = 56 Maximum = 68

Median = 59

No Outliers!!

52

54

56

58

60

62

64

66

68

70

72

Number of Skittles


How many s k i t t l e s are in a 2 17 ounce bag

Stem Plot

5

53

54 5 5 5

56 6 6 6 7 7 7 7

58 8 8 9 9 9 9 9 9

60

62 2 2 3 3 3

64 4 5

66 6

68

Shape = Roughly Symmetric

Center = 59

Spread = Minimum – 53

Maximum – 68


How many s k i t t l e s are in a 2 17 ounce bag

1 Var Stats

x = 59.4286

Σx = 2080

Σx² = 124110

Sx = 3.8293

n = 35

Minimum = 53

Quartile 1 = 56

Median = 59

Quartile 3 = 63

Maximum = 68


How many s k i t t l e s are in a 2 17 ounce bag

Assumptions

1). SRS 1).

2). Normal Population 2). 35 ≥ 30

OR

n≥ 30


How many s k i t t l e s are in a 2 17 ounce bag

Hypothesis

-Ho: m = 60 Skittles per 2.17 oz. Bag

-Ha: m ≠ 60 Skittles per 2.17 oz. Bag


How many s k i t t l e s are in a 2 17 ounce bag

Tests

One Sample T-Test

Test Statistic:

t* = x - µ

Degrees Freedom:

Df = n-1 = 34

=

-.8828

s/√n

P-Value:

2 * P(µ > -.8828) = .3835


How many s k i t t l e s are in a 2 17 ounce bag

Tests (Cont.)

Conclusion:

We fail to reject the null hypothesis because our p-value is greater than a = .05.

We have sufficient evidence that the mean number of Skittles per 2.17 oz. bag is 60 Skittles.


How many s k i t t l e s are in a 2 17 ounce bag

Confidence Level (95%)

Confidence Level = x ± t*(s/√n) = (58.113, 60.744)

We are 95% Confident that the mean number of Skittles per 2.17 oz. bag is between 58.113 and 60.744 Skittles.


How many s k i t t l e s are in a 2 17 ounce bag

Personal Opinions

-We felt as though it was very tedious to count the amount of Skittles in each of the 35 bags

-It was time-consuming to travel to each of the 7 stores to obtain the required amount of samples

-We agree with our T-Test results and feel as though where ever you choose to buy your Skittles from, you are getting a fair amount per bag for the price.


How many s k i t t l e s are in a 2 17 ounce bag

Application

-Although Giant had the greatest average number of Skittles per bag, we feel as though it is unnecessary to go out of your way just to buy Skittles at Giant.

-We feel as though Mars Inc. fairly manufactures and packages their Skittles bags.

- 7-11 Skittles bags are packaged most fairly and have an average of 60.2 Skittles per bag.


How many s k i t t l e s are in a 2 17 ounce bag

Bias/Error

  • Incorrect Skittles count

  • Mistake entering data into lists

  • Obtaining Skittles at various storeschose the first available bags

  • Counting broken or deformed Skittles


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