Stat 322/332
Experimental Design and Sampling
Assignment 5
Due: Wednesday, November 26, 2008
1. McDonald Corporation wishes to estimate the average annual sales at its various McDon
ald Restaurants for the current year,
μ
(
y
). It takes a random sample of
n
= 11 and obtains
the following data.
Let
x
be the annual sale for the previous year, and
y
be the sale of
current year (obtained by doubling the sale of the first six months). Assume that
N
= 1
,
000
and
μ
(
x
) = 2
.
43 million dollars.
Restaurant
1
2
3
4
5
6
7
8
9
10
11
x
2.1
3.2
5.1
1.7
4.3
1.9
4.8
2.3
1.6
2.7
2.0
y
2.4
3.6
5.6
2.0
4.4
2.0
5.2
2.8
2.0
2.8
2.4
2. Suppose that the
N
= 1
,
000 McDonald restaurants in the previous problem are all in
the United States and Canada. There are
N
1
= 800 restaurants in the US and
N
2
= 200 in
Canada. Assume
μ
(
x
)
1
= 2
.
45 and the data from problem 1 is a stratified random sample
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 Fall '09
 Xu(Sunny)Wang
 Statistics, Estimation theory

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