Find the margin of error.
-A manufacturer of cheese filled ravioli supplies a pizza restaurant chain. Based on
Data collected from its automatic filling process, the amount of cheese inserted into the
Ravioli is normally distributed. To make sure that the automatic filling process is on
Target, quality control inspectors take a sample of 25 ravioli and measure the weight of
Cheese filling. They find a sample mean weight of 15 grams with a standard deviation of 1.5 grams. What is the margin of error at 90% confidence?
A) 0.3 grams
B) 0.5133 grams
C) 0.8391 grams
D) 1.5 grams
E) 0.06 grams

Question

Quizplus · Accepted Answer

The margin of error (ME) is calculated using the formula: ME = Z * (σ/√n), where Z is the Z-score for the confidence level, σ is the standard deviation, and n is the sample size. For a 90% confidence level, the Z-score is approximately 1.645. Thus, ME = 1.645 * (1.5/√25) = 0.5133 grams.

Find the Margin of Error