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Central Limit Theorem: 2500 Individuals

STATS-ESBZSE

Suppose $2500$ individuals are to be selected at random and the amount of time (in minutes) their web browser is active on a given day is recorded. Let $\bar{X}$ denote the average time these 2500 individuals spend on the web.

Suppose it is also known that the mean of the time spent in a day on web-browsing by all internet-connected individuals is 250 minutes with a standard deviation of 150 minutes. Use the Standard Normal Probability Table

to find the probability that the average time spent web-browsing by the 2500 individuals is less than 248.

A

$2.28\%$

B

$25.14\%$

C

$97.72\%$

D

$74.86\%$

E

None of the above