In random samples of 12 from each of two normal populations, we found the follow

Question

In random samples of 12 from each of two normal

populations, we found the following statistics:

a. Test with # ! .05 to determine whether we can

infer that the population means differ.

b. Repeat part (a) increasing the standard deviations

to s1 ! 210 and s2 ! 198.

c. Describe what happens when the sample standard

deviations get larger.

d. Repeat part (a) with samples of size 150.

e. Discuss the effects of increasing the sample size.

f. Repeat part (a) changing the mean of sample 1 to

.

g. Discuss the effect of increasing .

Explanation / Answer

Test statistic = mean difference/std error

STd error = std dev/rt n

Hence Test statistic is directly proportional to rt n and invesely proportinal to std dev

So when n increases test statistic increases

and when std dev increases test statistic decreases.

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