Find the requested confidence interval.
-The data below consists of the pulse rates (in beats per minute) of 32 students. Assuming $\sigma = 10.66$, obtain a $95.44 \%$ confidence interval for the population mean.
$\begin{array} { l l l l l l l l } 80 & 74 & 61 & 93 & 69 & 74 & 80 & 64 \ 51 & 60 & 66 & 87 & 72 & 77 & 84 & 96 \ 60 & 67 & 71 & 79 & 89 & 75 & 66 & 70 \ 57 & 76 & 71 & 92 & 73 & 72 & 68 & 74 \end{array}$
A)$70.65$ to $76.27$ beats per minute
B) $69.62$ to $77.14$ beats per minute
C) $68.55$ to $78.23$ beats per minute
D) $51.53$ to $95.26$ beats per minute

Question

Find the requested confidence interval.
-The data below consists of the pulse rates (in beats per minute) of 32 students. Assuming $\sigma = 10.66$, obtain a $95.44 \%$ confidence interval for the population mean.
$\begin{array} { l l l l l l l l } 80 & 74 & 61 & 93 & 69 & 74 & 80 & 64 \ 51 & 60 & 66 & 87 & 72 & 77 & 84 & 96 \ 60 & 67 & 71 & 79 & 89 & 75 & 66 & 70 \ 57 & 76 & 71 & 92 & 73 & 72 & 68 & 74 \end{array}$  
A)$70.65$ to $76.27$ beats per minute
B) $69.62$ to $77.14$ beats per minute
C) $68.55$ to $78.23$ beats per minute
D) $51.53$ to $95.26$ beats per minute

Quizplus · Accepted Answer

The sample mean is calculated from the given data, and using the known standard deviation $\sigma = 10.66$, the confidence interval is calculated using the formula for a normal distribution: $\bar{x} \pm z \times \frac{\sigma}{\sqrt{n}}$, where $z$ is the z-score for $95.44\%$ confidence level, which is approximately 2.

Find the Requested Confidence Interval σ=10.66\sigma = 10.66σ=10.66 , Obtain A 95.44%95.44 \%95.44%

Find the Requested Confidence Interval $\sigma = 10.66$ , Obtain A $95.44 \%$