Statistics Term

Project……

Purpose of Study

To determine relationship between fat content (in grams) and sugar content (in grams) in various brands of vanilla ice cream.

Specifically, to determine whether a decrease in fat content has a statistically significant relationship to an increase in sugar content in ½ cup servings of vanilla ice cream.

Study Design

Selected 24 brands of vanilla ice cream

commonly available in the Salt Lake City

area.

Baskin Robbins Haagen-Dazs

Ben and Jerry’s Healthy Choice

Blue Bunny Jack and Jill

Breyers Lucerne

BYU Creamery Maggie Moos

Cold Stone McDonalds

Culver’s Meadow Gold carton

Dairy Queen Meadow Gold tub

Dreyers Russells

Edy’s Turkey Hill

Farr Tillamook

Friendly’s Western Family

Study Design, cont.

Simple random sampling method.

Randomly drew 10 brand names out of

a hat.

Obtained relevant nutritional data

through visits to local grocery stores

Data then compiled into a table for

statistical analysis (see next slide).

Study Sample

Brand Fat (grams) Sugar (grams)

Blue Bunny 7 14

Breyers 8 17

Dreyers 7 13

Farr 8 13

Meadow Gold Carton 7 13

Meadow Gold Tub 7 12

Russells 8 13

Tillamook 9 9

Turkey Hill 8 16

Western Family 7 12

Purpose of Study

To determine relationship between fat content (in grams) and sugar content (in grams) in various brands of vanilla ice cream.

Specifically, to determine whether a decrease in fat content has a statistically significant relationship to an increase in sugar content in ½ cup servings of vanilla ice cream.

Table : Collection Results

Brand Fat (grams) Sugar (grams)

Tillamook 9 9

Blue Bunny 7 14

Breyers 8 17

Western Family 7 12

Turkey Hill 8 16

Meadow Gold Carton 7 13

Farr 8 13

Russell's 8 13

Meadow Gold Tub 7 12

Dreyer's 7 13

Table : Fat Statistics

µ 7.6

σ .6633249581

Min-X 7

Q1 7

Med 7.5

Q3 8

Max-X 9

Range 2

Mode 7,8

Outliers None

Figure : Fat Content Histogram

Figure : Fat content Box Plot

Table : Sugar Content Statistics

µ 13.2

σ 2.088061302

Min-X 9

Q1 12

Med 13

Q3 14

Max-X 17

Range 8

Mode 12,13

Outliers None

Figure : Sugar Content Histogram

Figure : Sugar Content Box Plot

Figure : Scatter plot of results

Analysis

Conclusion

There is no correlation between fat and

sugar content in vanilla ice cream. Using

0.05 as the level of significance and 22

as the df, the correlation coefficient is

0.404; since this is higher than 0.381,

there is no linear relationship between

fat and sugar content in vanilla ice

cream. This conclusion can be seen

easily by looking at the scatterplot.