Margin of error $= 0.06$, sample size $= 50$, sample mean $= 0.65$
What is the $95 \%$ confidence interval for the population mean?
A) $49.9

Question

Margin of error $= 0.06$, sample size $= 50$, sample mean $= 0.65$
What is the $95 \%$ confidence interval for the population mean?
A) $49.9 < \mu < 50.1$
B) $0.65 < \mu < 0.7$
C) $0.5 < \mu < 0.8$
D) $0.6 < \mu < 0.7$

Quizplus · Accepted Answer

The $95\%$ confidence interval is calculated as the sample mean $\pm$ the margin of error. Given a sample mean of $0.65$ and a margin of error of $0.06$, the confidence interval is $0.65 - 0.06 = 0.59$ to $0.65 + 0.06 = 0.71$, which is approximately $0.6 < \mu < 0.7$.

Margin of Error =0.06= 0.06=0.06 , Sample Size =50= 50=50 , Sample Mean

Margin of Error $= 0.06$ , Sample Size $= 50$ , Sample Mean