Stats Project 2007

Is th= ere actually 25% more Blow Pops in a 13 o= z. bag than a regular 10.4 oz. bag?

Studied by:

Kory Figueroa

Jessica Carter

Discl= aimer:

This study was done in an AP Statistics class with relatively small sample sizes. The validity of such studies must also be questioned. Please keep this in mind if you use or rep= ort this study.

Abstr= act:

The purpose of this study wa= s to determine if there was actually twenty-five percent more free Blow Pops in = a 13 oz. bag than in a 10.4 oz. bag as stated by the Charms Company. Forty 13 oz. bags of Charms Blow Pops were sampled from the 7 Kroger stores around Lexington. The pr= edicted outcome was that the claim was false and there wasn’t actually twenty-five percent more product in the larger b= ag. This outcome was predicted because it was thought the company would try to cheat= the consumers. A t-test was used = to test the mean weight (in grams) of each bag against the weight stated on the bag.

Metho= dology

The question of this experiment is to find out whether or not Charms actually p= uts the stated twenty-five percent more in a bag of Blow Pops verses a regular = bag. The company claims to put twenty-five percent more in a bag of Blow Pops for the same price as a regular sized bag. This study was an attempt to prove t= hat the Charms Company’s claim was false.

To determine which retailers actually carried the twenty-five percent more bag= s, several drug stores and grocery stores were visited. Kroger was one of the retailers

found to= carry such an item. True randomization is not possible because of the limited num= ber of Kroger stores within the vicinity; therefore, randomization was unrealis= tic because the individual bags have no predetermined destination. Each bag was individually weighed, and its weight was recorded. For this type of weighing you might need a balance scale that has maximum weight of 500+ grams.

Explo= ratory Data Analysis

Blow = Pop Bag Weights

Weights

Blow Pop Weights

409.1	409.6	412.6	412.8	407.7
409.8	409.2	409.4	409.9	408
408.1	408.1	410.5	410.5	409.6
410.2	406.7	409	408.5	409.7
409.7	408.1	408.2	411.5	412
408.8	409	408.8	411.8	411.4
408	407.6	409.2	413.8	401.5
410.8	408.3	410	410.9	413.1

&nbs= p;

After col= lecting the weights for the forty bags find the sample mean () and sample standard deviation (Sx).

&nbs= p;

Conclusion

Since we get a p-value of p= =3D 1 our data is not statistically significant at the a =3D .05 level. Theref= ore we retain the null hypothesis that the mean weight of a twenty-five percent mo= re bag is 368 grams. This in turn means that the Charms co= mpany is sincere when they claim that there is twenty-five percent more in a twenty-five percent more bag.