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
  • 13

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

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

At what significance level is the hypothesis being tested?

<p>0.10 (D)</p> Signup and view all the answers

Flashcards

Hypothesis Testing

A statistical hypothesis test to determine if there is enough evidence to reject the null hypothesis.

Null Hypothesis

The initial assumption about the population parameter. In this case, it's that the mean cereal weight is 13 ounces.

Alternative Hypothesis

The alternative hypothesis is the statement that we're trying to prove. In this case, it's that the mean cereal weight is different from 13 ounces.

Confidence Interval

A range of values that is likely to contain the true population parameter. It's calculated using sample data and a confidence level.

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Significance Level

The probability of rejecting the null hypothesis when it is actually true. It's often represented by α.

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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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