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Cereal Box Weight Analysis Quiz

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Questions and Answers

What is the sample mean weight of the cereal boxes?

31 ounces

12.58 ounces (correct)

13 ounces

0.25 ounces

What is the standard deviation of the sample of cereal boxes?

31 ounces

12.58 ounces

0.25 ounces (correct)

13 ounces

What is the total sample size of cereal boxes tested?

31 (correct)

0.25

12.58

What is the hypothesized mean weight of cereal in each box?

<p>13 ounces</p> Signup and view all the answers

At what significance level is the hypothesis being tested?

<p>0.10</p> Signup and view all the answers

Study Notes

Cereal Box Weight Analysis

A cereal manufacturer is concerned about the accuracy of cereal box filling weights.
Each box should contain 13 ounces of cereal.
A sample of 31 boxes was randomly selected.
The average weight of the sample is 12.58 ounces.
The standard deviation of the sample is 0.25 ounces.
A confidence interval needs to be calculated to test if the mean weight differs significantly from 13 ounces, at a significance level of 0.10.
Interpretation of the calculated confidence interval is required.

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Description

This quiz examines the accuracy of cereal box weights through statistical analysis. It includes calculating confidence intervals to assess if the average weight significantly varies from the targeted 13 ounces. Test your understanding of sampling, averages, and standard deviations in this real-world scenario.