The narrower the confidence interval, the more precise it is. With this in mind,

Question

The narrower the confidence interval, the more precise it is. With this in mind, which combination of factors will produce the most precise estimate of the difference between two population means?

a. Two samples of n = 20 and 80% confidence

b. Two samples of n = 20 and 90% confidence

c. Two samples of n = 50 and 80% confidence

d. Two samples of n = 50 and 90% confidence

I only clicked that answer as a guess, please let me know what the correct answer is

thanks

Aa Aa E. 3. The narrower the confidence interval, the The narrower the confidence interval, the more precise it is. With this in mind, which combination of factors w produce the most precise estimate of the difference between two population means? O Two samples of n 20 and 80% confidence O Two samples of n 20 and 90% confidence O Two samples of n 50 and 90% confidence O Two samples of n 50 and 80% confidence

Explanation / Answer

The Correct Option is (d):- Two samples of n = 50 and 90% confidence

Because, Larger samples result in smaller standard errors, and therefore, in sampling distributions that are more clustered around the population mean. A more closely clustered sampling distribution indicates that our confidence intervals will be narrower and more precise and apparently a narrow confidence interval implies that there is a smaller chance of obtaining an observation within that interval, therefore, our accuracy is higher.

Also, a 80% confidence interval is narrower than a 90% confidence interval which is wider.

The 90% confidence interval is more accurate than the 80%.

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