Identify the claim and state the H0 and H1. Find the critical value. Calculate the test statistic.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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  1. A soft-drink manufacturer claims that its 12-ounce cans contain, on average, different from 65 calories. A random sample of 21 cans of this soft drink, which were checked for calories, contained a mean of 72 calories with a sample standard deviation of 5 calories. Assume that the distribution of the calories of the soft drink is normally distributed. Use 1% significance level to determine that the mean calories in the soft drink is different from 30 calories. Answer the following questions.

 

  1. Identify the claim and state the H0 and H1.
  2. Find the critical value.
  3. Calculate the test statistic.
  4. Calculate the p-value.
  5. Make a decision to reject or fail to reject the H0.
  6. Interpret the decision in the context of the original claim.
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