Question

The manager of a savings and loan branch wants to estimate the average amount held in passbook savings accounts by the branch bank depositors. A random sample of 25 depositors is selected, and the results indicate a sample average of $4,750 and a sample standard deviation of $1,200. Given the 95% confidence interval estimates calculated above, if an individual had $4,000 ina passbook savings account, is this considered unusual?

a. Yes
b. Maybe
c. Do not know
d. No

Answer 1

Correct answer:

d. No

Step-by-step explanation:

This is because, from the random sample that was done, it shows that the average money held by customers falls within $3550 - $5950 which averages $4750 (Factoring in the standard deviation of $1200). Therefore, it is not considered unusual if an individual had $4000 since it falls within the range of amount held by most depositors and customers of the said bank.