Problem

Assume that Calculate the pooled estimator of σ2 for each of the following cases:a.b.c.d.e...

Assume that Calculate the pooled estimator of σ2 for each of the following cases:

a.

b.

c.

d.

e. Note that the pooled estimate is a weighted average of the sample variances. To which of the variances does the pooled estimate fall nearer in each of cases a–d ?

Independent random samples from normal populations produced the following results: (saved in the LM7_9 file).

Sample 1

Sample 2

1.2

 

4.2

 

3.1

 

2.7

 

1.7

 

3.6

 

2.8

 

3.9

3.0

 

a. Calculate the pooled estimate of σ2.


b. Do the data provide sufficient evidence to indicate that μ2 < μ 1? Test, using α= .10.


c. Find a 90% confidence interval for (μ1 - μ2).


d. Which of the two inferential procedures, the test of hypothesis in part b or the confidence interval in part c, provides more information about (μ1 - μ2)?

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