Solve the problem.
-A sample of 55 eggs yields a mean weight of 1.76 ounces. Assuming that $\sigma$ = 0.28 ounces, find the margin of error in estimating µ at the 95% level of confidence.
A)0.06 oz
B)0.01 oz
C)0.47 oz
D)0.07 oz

Question

Solve the problem.
-A sample of 55 eggs yields a mean weight of 1.76 ounces. Assuming that $\sigma$ = 0.28 ounces, find the margin of error in estimating µ at the 95% level of confidence. 
A)0.06 oz
B)0.01 oz
C)0.47 oz
D)0.07 oz

Quizplus · Accepted Answer

The margin of error (E) is calculated using the formula $E = z \times \frac{\sigma}{\sqrt{n}}$, where $z$ is the z-score for the 95% confidence level (approximately 1.96), $\sigma$ is the standard deviation, and $n$ is the sample size. Plugging in the values: $E = 1.96 \times \frac{0.28}{\sqrt{55}} \approx 0.07$ ounces.

Solve the Problem σ\sigmaσ = 028 Ounces, Find the Margin of Error in Estimating µ

Solve the Problem $\sigma$ = 028 Ounces, Find the Margin of Error in Estimating µ