How many s k i t t l e s are in a 2 17 ounce bag
This presentation is the property of its rightful owner.
Sponsored Links
1 / 18

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


  • 78 Views
  • Uploaded on
  • Presentation posted in: General

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

Download Presentation

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

An Image/Link below is provided (as is) to download presentation

Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author.While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server.


- - - - - - - - - - - - - - - - - - - - - - - - - - E N D - - - - - - - - - - - - - - - - - - - - - - - - - -

Presentation Transcript


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


  • Login