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Question

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Explanation:

Identify the null and alternative hypotheses

$$ LATEXBLOCK0 $$

Determine the test statistic and P-value

$$ LATEXBLOCK1 $$

State the conclusion for the hypothesis test

$$ LATEXBLOCK2 $$

There is sufficient evidence to support the claim that cans of regular Coke have weights with a mean that is greater than the mean for Diet Coke.

Answer:

Question 1

  • A. \(H_0: \mu_1 = \mu_2\), \(H_1: \mu_1 < \mu_2\)
  • B. \(H_0: \mu_1 = \mu_2\), \(H_1: \mu_1 > \mu_2\) (Correct answer)
  • C. \(H_0: \mu_1

e \mu_2\), \(H_1: \mu_1 = \mu_2\)

  • D. \(H_0: \mu_1 = \mu_2\), \(H_1: \mu_1

e \mu_2\)

Question 2

The test statistic is <blank>16.65</blank>.
The P-value is <blank>0.000</blank>.

Question 3

  • A. Reject the null hypothesis. There is sufficient evidence to support the claim that cans of regular Coke have weights with a mean that is greater than the mean for Diet Coke. (Correct answer)
  • B. Fail to reject the null hypothesis. There is sufficient evidence to support the claim that cans of regular Coke have weights with a mean that is greater than the mean for Diet Coke.
  • C. Reject the null hypothesis. There is not sufficient evidence to support the claim that cans of regular Coke have weights with a mean that is greater than the mean for Diet Coke.
  • D. Fail to reject the null hypothesis. There is not sufficient evidence to support the claim that cans of regular Coke have weights with a mean that is greater than the mean for Diet Coke.