Use the confidence level and sample data to find a confidence interval for estimating the population µ.
-Test scores: $\mathrm { n } = 71 , \overline { \mathrm { x } } = 41.8 , \sigma = 7.2 ; 98$ percent
A) $40.4

Question

Use the confidence level and sample data to find a confidence interval for estimating the population µ.
-Test scores: $\mathrm { n } = 71 , \overline { \mathrm { x } } = 41.8 , \sigma = 7.2 ; 98$ percent
A) $40.4 < \mu < 43.2$
B) $39.8 < \mu < 43.8$
C) $40.1 < \mu < 43.5$
D) $39.6 < \mu < 44.0$

Quizplus · Accepted Answer

The confidence interval is calculated using the formula $\overline{x} \pm z \frac{\sigma}{\sqrt{n}}$. For a 98% confidence level, the z-score is approximately 2.33. Plugging in the values, the interval is $41.8 \pm 2.33 \times \frac{7.2}{\sqrt{71}}$, which results in $39.8 < \mu < 43.8$.

Use the Confidence Level and Sample Data to Find a Confidence