HOMEWORK 4
MGMT305
Due Date April 18, 2011
Quiz Date April 18, 2011
1.
Allied Corporation is trying to determine whether to purchase Machine A or B. It has leased the two
machines for a month. A random sample of 5 employees has been taken. These employees have gone
through a training session on both machines. Below you are given information on their productivity rate
on both machines. (Let the difference d = Machine A  Machine B.)
Productivity Rate
Person
Machine A
Machine B
1
47
52
2
53
58
3
50
47
4
55
60
5
45
53
a.
State the null and alternative hypotheses for a twotailed test.
b.
Find the mean and standard deviation for the difference.
c.
Compute the test statistic.
d.
Test the null hypothesis stated in Part a at the 10% level.
2.
Information regarding the starting salaries (in $1,000) of samples of students in four different majors is
given below.
Majors
Management
Marketing
Finance
Accounting
Sample size
12
10
9
14
Average
26
31
22
25
Sample variance
10
7
15
9
a.
Compute the overall sample mean .
b.
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 Spring '08
 Priya
 Null hypothesis, critical value, Allied Corporation

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