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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