Ice Cream Melting Times

1
Ice Cream Melting Times
Emma Hutchinson Marianna Ator
2
Introduction
Summer is near/here and that means one thing. ICE
CREAM. Ice cream is possibly one of the greatest
food creations of all time. But there is one
large problem with ice cream and that is of
course, how fast it melts. So we decided to see
whether a person should shell out more money just
to ensure that their ice cream melted slower and
they could enjoy that yummy goodness in
peace. We decided to compare two brands of
Vanilla ice cream, Giant Brand, a generic brand
which is the cheapest kind to buy at Giant
grocery stores, and Häagen-Dazs, the most
expensive brand of ice cream at Giant grocery
stores. To give you some perspective, Giant Brand
full-fat Vanilla ice cream costs 4.29 for a 1.75
Quart container, Häagen-Dazs costs 6.79 for a 1
pint container. This difference is a pretty
significant one if you are a person who likes to
eat a lot of ice cream. To make sure our melting
times were normal we also had a control ice cream
that we melted with was Edys brand. Edys comes
in at 5.79 for a 1.75 Quart container, making it
in between the two brands we were testing. We
know that certain brands of ice cream are more
expensive because of taste but in this case we
wanted to know what a person should do if they
only care about how long they have to eat their
ice cream before it gets all over them.
3
Hypothesis

• The hypothesis we are testing is the idea that
  the more expensive the ice cream, the longer it
  will take to melt. Therefore the more expensive
  the ice cream the lower the melting mean.
• Ho There is no difference between the mean
  melting time of Giant brand ice cream and the
  mean melting time Häagen-Dazs ice cream.
• Ha The mean melting time of Häagen-Dazs ice
  cream is lower than the mean melting time of
  Giant brand ice cream.

4
Materials

• 10- 1.75 Quart containers of Edy's Grand Ice
  Cream Vanilla ice cream
• 10- 1.75 Quart containers of Giant Brand Vanilla
  Ice Cream
• 10- 1 Pint containers of Haagen-Dazs Ice Cream
  Vanilla ice cream
• 3- 12 oz. ceramic bowls of the same set
• 1- 1 cup measuring cup
• 1- Timer with a minute and second hand
• 3- labels labeled A, B, C with the actual brands
  hidden underneath

5
Procedure

• We went to three different grocery stores to
  purchase containers of ice cream to ensure
  randomization. At each store we bought three
  containers (except at one store where we bought 4
  of each) of each kind of ice cream (Giant Brand,
  Häagen-Dazs, and Edys) to total 10 containers of
  each type of ice cream.
• To make sure our results were not completely
  random we chose to measure Edys melting time as
  a control because it was between Giant and
  Häagen-Dazs in price.
• Next we took all the ice cream and put it in a
  freezer together for one night (16 hours) to make
  sure all the ice cream containers were all at the
  same temperature level.
• We then, took exactly one cup of each type of ice
  cream and put them each in a separate bowl. All
  of the bowls were the same material ensuring that
  this could not be a factor in melting time.
• We put the bowls on a counter inside where the
  temperature was 78 degrees Fahrenheit.
• To make sure that we were not biased we had a
  third party make labels that said A, B, and C.
  The third party then arranged the ice cream while
  we were in the other room, writing what brand the
  ice cream was on the bottom of the label.
• We then used a timer on a watch to see how long
  each ice cream took to melt. We waited until the
  ice cream was melted all the way through, without
  any clumps, to announce that it was melted.
• After our first trial we repeated steps 3 through
  6 using a different container of ice cream for
  each bowl. Following the 1st trial we did the
  experiment with three bowls of each type of ice
  cream at one time (3 one cup bowls of Giant,
  Häagen-Dazs, and Edys) in order to prevent
  having to resume on the next day when the
  temperature inside might have been different.

6
DataAverage Melting Time (in minutes)
Giant Häagen-Dazs Edys (Control)
63 74 66
66 77 72
68 73 64
61 69 69
63 80 67
67 81 68
58 75 68
60 77 66
57 78 63
64 80 65
7
What Test to Use

• We will perform a two-sample t test because of
  how small the samples are.
• Assumptions
• Independence- We purchased the ice cream
  containers separate from one another (different
  stores)
• Random- We purchased the ice cream random from
  each other
• Nearly normal- The melting times are nearly
  normal when compared in a histogram

8
Calculations

• Giant Brand x 62.7 Sx 3.713339318
• Häagen-Dazs x 75.4 Sx 4.501851471
• T- VALUE
• v(3.713339318)2 (4.501851471)2
• 10 10
• 1.845414738
• 62.7-75.4 -6.881921845
• 1.845414738
• P-VALUE 1-.00000009747 .9999990253

9
Analysis Conclusion

• Since our p-value is so high at .9999990253 we
  have no sufficient evidence to reject Ho at most
  significance levels.
• This means that we cannot reject the idea that
  the Giant brand ice cream melts at the same rate
  as the Häagen-Dazs ice cream.
• Therefore, if someone wanted to buy ice cream
  solely on the amount of time it took to melt, it
  doesnt necessarily pay to purchase the more
  expensive brand.