Emma's On-the-Go, a large convenience store that makes a good deal of money from magazine sales, has three possible locations in the store for its magazine rack: in the front of the store (to attract "impulse buying" by all customers), on the left-hand side of the store (to attract teenagers who are on that side of the store looking at the candy and soda), and in the back of the store (to attract the adults searching through the alcohol cases). The manager at Emma's experiments over the course of several months by rotating the magazine rack among the three locations, choosing a sample of 44 days at each location. Each day, the manager records the amount of money brought in from the sale of magazines. Below are the sample mean daily sales (in dollars) for each of the locations, as well as the sample variances: Sample Sample Sample size Group variance mean Front 44 216.2 401.3 Left-hand side 44 212.4 322.1 Right-hand side 44 220.7 574.5 Send data to calculator Send data to Excel Assume that the populations of daily sales from which the above samples were drawn are approximately normally distributed and that each has the same mean and the same variance. Answer the following, carrying your intermediate computations to at least three decimal places and rounding your responses to at least one decimal place. (a) Give an estimate of this common population variance based on the variance of the sample means given. (b) Give an estimate of this common population variance by pooling the sample variances given.
Emma's On-the-Go, a large convenience store that makes a good deal of money from magazine sales, has three possible locations in the store for its magazine rack: in the front of the store (to attract "impulse buying" by all customers), on the left-hand side of the store (to attract teenagers who are on that side of the store looking at the candy and soda), and in the back of the store (to attract the adults searching through the alcohol cases). The manager at Emma's experiments over the course of several months by rotating the magazine rack among the three locations, choosing a sample of 44 days at each location. Each day, the manager records the amount of money brought in from the sale of magazines. Below are the sample mean daily sales (in dollars) for each of the locations, as well as the sample variances: Sample Sample Sample size Group variance mean Front 44 216.2 401.3 Left-hand side 44 212.4 322.1 Right-hand side 44 220.7 574.5 Send data to calculator Send data to Excel Assume that the populations of daily sales from which the above samples were drawn are approximately normally distributed and that each has the same mean and the same variance. Answer the following, carrying your intermediate computations to at least three decimal places and rounding your responses to at least one decimal place. (a) Give an estimate of this common population variance based on the variance of the sample means given. (b) Give an estimate of this common population variance by pooling the sample variances given.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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Transcribed Image Text:Emma's On-the-Go, a large convenience store that makes a good deal of money from magazine sales, has three possible locations in the store for its magazine
rack: in the front of the store (to attract "impulse buying" by all customers), on the left-hand side of the store (to attract teenagers who are on that side of the
store looking at the candy and soda), and in the back of the store (to attract the adults searching through the alcohol cases). The manager at Emma's
experiments over the course of several months by rotating the magazine rack among the three locations, choosing a sample of 44 days at each location. Each
day, the manager records the amount of money brought in from the sale of magazines.
Below are the sample mean daily sales (in dollars) for each of the locations, as well as the sample variances:
Sample Sample Sample
size
Group
variance
mean
Front
44
216.2
401.3
Left-hand side
44
212.4
322.1
Right-hand
side
44
220.7
574.5
Send data to calculator
Send data to Excel
Assume that the populations of daily sales from which the above samples were drawn are approximately normally distributed and that each has the same mean
and the same variance.
Answer the following, carrying your intermediate computations to at least three decimal places and rounding your responses to at least one decimal place.
(a) Give an estimate of this common population variance based
on the variance of the sample means given.
(b) Give an estimate of this common population variance by
pooling the sample variances given.
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