Answer:
Step-by-step explanation:
Given that a survey was conducted that asked 1004 people how many books they had read in the past year.
Results are:
x bar =12.5
s = 16.6
n = 1004
Std error of sample = [tex]\frac{s}{\sqrt{n-1} } =\frac{16.6}{\sqrt{1003} }\\=0.524152\\=0.524[/tex]
Since population std dev is not known t critical value can be used for confidence interval.
df = 1004-1 =1003
t critical = 1.96
Margin of error [tex]= 1.96(std error) =1.027[/tex]
Confidence interval lower bound [tex]= 12.5-1.027 = 11.473[/tex]
Upper bound [tex]= 12.5+1.027 = 13.527[/tex]