Question

A random sample of size 32 is selected from population X, and a random sample of size 43 is selected from population Y. A 90 percent confidence interval to estimate the difference in means is given as (−1.25,0.87)
.

Consider a change in the sample sizes such that a random sample of size 52 is selected from population X and a random sample of size 63 is selected from population Y. When all other things remain the same, what effect would such a change have on the interval?

Answer 1

Answer:

The level of confidence will increase.

Step-by-step explanation:

Could be wrong

Answer 2

The change in the sample size will lead to a decrease in the width of the interval.

What is a sample size?

A sample size simply means the number of subjects that are taken from the population for research.

In this case, increasing the sample size will decrease the standard error and therefore, the width of the confidence interval will reduce.

Therefore, as the sample size increases, the interval reduces.

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