Meaghan DeMallie,Dan Foley, Thomas Honghttp://www.nabiscoworld.com/oreo/dsrl/home.aspx

Description of Project

• We wanted to research how long it takes to eat an Oreo competition style

• From there, we wanted to see if there was a difference in time between males and females

• We approached random people in the food courts of the Montgomery Mall and Wegman’s for a total of 4 hours– We felt this was the best way to randomize our

voluntary response

History of the Oreo• In 1898, several baking companies merged to

form the National Biscuit Company (NaBisCo), the maker of Oreo cookies.

• In 1912, Nabisco had a new idea for a cookie - two chocolate disks with a creme filling in between.– Lemon Meringue & Creme

• America’s best selling cookie• 1975: the Double Stuf is introduced• Origin of name?

– French word for gold, "or" (the main color on early Oreo packages).

– Shape of a hill-shaped test version; thus naming the cookie in Greek for mountain, "oreo.“

– Combination of taking the "re" from "cream" and placing it between the two "o"s in "chocolate" - making "o-re-o.“

– Short and easy to pronounce.

Procedure

1. At our designated location (mall and Wegman’s), officials will approach people to participate in the study.

a. Because we are asking people to eat something, the study depends on voluntary response.

b. Instead of using actual Oreos, we used Wegman’s O’s because they were half the price and we are all broke.

2. Once a contestant has agreed, they will stand with a cookie in hand and once they are ready, official will start the clock

3. Contestants must open the Oreo, lick off the cream filling, show the official, and then eat the remaining cookie.

4. Official will then stop the clockand record time and gender ofparticipant.

CHEATER!!!!!!

• Officials will then analyze different stats regarding the time it takes to lick off the cream filling, including – Average time• Confidence Interval

– Differences in gender• Confidence Interval

Hypotheses

• Mean Oreo-eating Time– Ho: Mean time = 45 seconds– Ha: Mean time < 45 seconds

• Difference between Mean Times ofMales and Females

– Ho: Male mean time = Female mean time– Ha: Male mean time < Female mean time

Assumptions

• 1 Sample T-test– SRS

• no, voluntary response

– n ≥ 30 or normal population• N = 60 > 30

• 2 Sample T-test– 2 independent SRS

• no, voluntary response

– 2 normal populations or n1 and n2 ≥ 30• n1 = 29 females < 30

• n2 = 31 males > 30

Explanatory Data AnalysisThe data is slightly right skewed.

The mean is 38.9167 seconds and the median is 38 seconds.

The range is 42 from 22 seconds to 64 seconds.

Exploratory Data

Male vs. Female – frequency of mean times

The data for females is roughly symmetric. The mean of female times is 42.2759 seconds and the median is 42 seconds. The range is 42 between 22 and 64.

The data for males is slightly right skewed. The mean of male times is 35.7742 seconds and the median is 37 seconds. The range is 31 between 22 and 53.

The data for males was condensed in a smaller range and is therefore more precise than the female data. The center for males appears less than the center for females.

Conclusion

• We can conclude that males in Bucks and Montgomery County eat Oreos faster than the females because both the mean and median times for males were higher.

• The female times had a larger range than male times, which shows females are more varied and eat at different paces

1 Sample T-test for Mean Time of Oreo eating

• t = -5.043• P(t < -5.043 | df = 59) = 2.3267 x 10-6

• We reject the Ho because our P-value is less than alpha = 0.05

• We have sufficient evidence that the true population mean time of eating an Oreo is less than 45 seconds.

Confidence Interval for Mean Time

• 38.9167 + 2.01571• We are 90 % confident

that the true mean Oreo eating time is between 36.901 and 40.9324 seconds

2 Sample T-test comparing men’s Oreo eating time to women’s

•t = 2.827•P(t > 2.827 | df = 52.5069) = 0.0033

•We reject the Ho because our p-value is less than alpha = 0.05•We have sufficient evidence that the mean time of Oreo consumption for females is greater than that of males

Confidence Interval

• 6.50157 + 3.851• We are 90 % confident that the true difference

between male and female mean time is between 2.65066 and 10.357 seconds

( ) + t*

We have concluded the following:• Through the 1-Sample T-Test, we found that the average time to

consume an Oreo by licking the creme and then eating the cookie is less than 45 seconds.

• Our confidence interval for the population mean led us to be 90% confident that the population mean time of eating an Oreo is between 36.901 and 40.9324 seconds.

• Through the 2-Sample T-Test, we found that the population mean of male times for eating an Oreo is less than the population mean of female times for eating an Oreo.

• Our confidence interval for the difference between means led us to be 90% confident that the difference in the population means of female and male times is between 2.65066 and 10.3527 seconds.

Application to Population

• Our results showed that people in Bucks and Montgomery County eat Oreos faster than what was claimed. Both males and females studied were faster than our claim.

• Our results showed that males in Bucks and Montgomery County can consume Oreos faster than females.

• Our results can apply to the population by revealing the average time it takes to consume an Oreo. This information could contribute to the Double Stuf Racing League and entice many to participate in this epic race.

Bias and Error

• Bias in the Study– Voluntary response– Hunger level of subject– Comfort level of taking food from a stranger

• Sources for Error– Variation in size, temperature, etc.– Grocery store brand affecting data– Different people taking times

• Places for improvement– Increase sample size– Somehow remove voluntary response bias

Personal Opinions• Dan - Delightfully nauseating project. • Tom – It was a bit awkward to approach random

people in the mall and watch them eat an Oreo, but it was an exhilarating experience.

• Meaghan –Thought it was interesting how competitive the subjects became with one another. And would like to remind Dan and Tom that she is the reigning champ.

Males > Females