About a month ago I found myself wondering about the proportions of the colors in Reeses Pieces. After checking the www and the apstat archives, and after trying to contact Hersheys, I seemed to be at a dead end.
Then a reply arrived from Hersheys. As the subject indicates, I had specifically asked about the proportion of orange pieces. Note the canned reply. So I guess that either there is no such fixed proportion or, if there is, it will remain privileged information.
From: SMTP%"firstname.lastname@example.org" 18-DEC-1996 08:38:33.71 To: KINGB CC: Subj: Re: population proportion of orange Reese's Pieces
Return-Path: <email@example.com> Received: from fw001.hersheys.com ([126.96.36.199]) by WCSUB.CTSTATEU.EDU with SMTP; Wed, 18 Dec 1996 8:38:32 -0500 (EST) Received: from [188.8.131.52] by fw001.hersheys.com (AIX 4.1/UCB 5.64/4.03) id AA22022308; Wed, 18 Dec 1996 08:27:38 -0500 Received: from [184.108.40.206] by mail.hersheys.com (AIX 3.2/UCB 5.64/4.03) id AA16260; Wed, 18 Dec 1996 08:35:49 -0500 Date: Wed, 18 Dec 1996 08:35:49 -0500 Message-Id: <9612181335.AA16260@mail.hersheys.com> X-Sender: firstname.lastname@example.org X-Mailer: Windows Eudora Pro Version 2.1.2 Mime-Version: 1.0 Content-Type: text/plain; charset="us-ascii" To: KINGB@WCSUB.CTSTATEU.EDU (by way of Hershey Foods Corp) From: Hershey Foods - Consumer Relations <email@example.com> Subject: Re: population proportion of orange Reese's Pieces
Our Research Department evaluates product colors in an effort to achieve the best possible selection, and decisions concerning the colors we select are based upon many factors. One reason for rejecting certain colors involves psychology. Tests have shown that certain colors are not very popular food colors with consumers. Another factor involves quality standards set by the Food and Drug Administration and our own Quality Assurance Staff.
When this product is manufactured, all colors are cast ine equal quantities. However, as they approach the packaging machines already sorted, the manner in which they fall into the boxes determines the variation of colors.
Thank you for contacting Hershey Foods.
At 02:52 PM 12/9/96 -0500, you wrote: > Last Wednesday I distributed 3 bags of Reese's Pieces to my evening > statistics class. Each student took a sample of 25 and recorded the > numbers of yellow, orange, and brown Pieces, and we pooled our results. > (Then the students ate their samples.) When we meet again this Wednesday, > they will estimate the population proportion of orange Pieces. > > While not strictly necessary for our purposes, I _KNOW_ that they will > want to know the "true" population proportion of orange Pieces; and I'm > curious, also. Is there such a number? And, if so, can you share it > with me? > > Bruce King > ============================================== > Department of Mathematics and Computer Science > Western Connecticut State University > 181 White Street > Danbury, CT 06810 > (firstname.lastname@example.org) > >