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Moderate

One Sample Mean Interval: Average Number of Tweets

APSTAT-XUKJ4N

Camden was asked by one of his friends how many tweets he sends out a day. Not knowing the exact answer, Camden randomly selected $16$ days from the past and looked at the number of tweets he sent out.

Using his knowledge and AP Statistical power, he decided to construct a $95\%$ confidence interval for the average number of tweets he sent out.

The data he collected from the $16$ days followed an approximately normal distribution with a mean of $3.14$ and standard deviation of $0.68$.

Which of the following represents a $95\%$ confidence interval for the average number of tweets Camden sends out a day?

A

$3.14\pm 1.96\cfrac { 0.68 }{ \sqrt { 16 } }$

B

$3.14\pm 2.12\cfrac { 0.68 }{ \sqrt { 16 } }$

C

$3.14\pm 2.131\cfrac { 0.68 }{ \sqrt { 16 } }$

D

$3.14\pm 2.12\cdot 0.68$

E

$3.14\pm 2.131\cdot 0.68$