Use the confidence level and sample data to find the margin of error E
-Replacement times for washing machines: $90 \%$ confidence; $\mathrm { n } = 36 , \bar{\mathrm { x} } = 10.0$ years, $\sigma = 2.1$ years
A) $0.4$ years
B) $6.0$ years
C) $0.1$ years
D) $0.6$ years

Question

Quizplus · Accepted Answer

The margin of error E is calculated using the formula $E = z \times \frac{\sigma}{\sqrt{n}}$. For a 90% confidence level, the z-score is approximately 1.645. Plugging in the values: $E = 1.645 \times \frac{2.1}{\sqrt{36}} = 0.6$ years.

Use the Confidence Level and Sample Data to Find the Margin