A survey was conducted that asked 1019(Use ascending order Round to two decimal places as needed)

Question

asked Oct 3, 2023 125k views

1 Answer

Nathan Phetteplace · Answer 1 · 2023-10-07T12:43:42+0000

Given

n = 1019

$\bar{x}=13.1,s=16.6$

Find

Construct a 95% confidence interval for the mean number of books people read .

Step-by-step explanation

first , we need to solve for the margin of error

$\begin{gathered} E=t_{(\alpha)/(2)}.(s)/(√(n)) \\ \\ E=1.96*(16.6)/(√(1019)) \\ \\ E=(32.536)/(32.921779399) \\ \\ E=1.02 \end{gathered}$

Lower bound =

$\bar{x}-E=13.1-1.02=12.08$

upper bound =

$\bar{x}+E=13.1+1.02=14.12$

Final Answer

Therefore , the 95% confidence interval is (12.08,14.12)