MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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An oceanographer claims that the mean dive depth of a North Atlantic right whale is 93 meters. You suspect that this claim is not true. In order to refute the oceanographer's claim, you obtain a random sample of 39 dive depths with a mean of 109 meters and a standard deviation of 41.1 meters. State the null and alternative hypotheses of this test. Round answers to 4 decimal places. Use a significance level of αα = 0.01.

  1. H0:                  
  2. H1:                   
  3. The test statistic is 
  4. The p-value for this hypothesis test is .
  5. The correct decision is:
    • Reject the claim.
    • Do not reject the null hypothesis.
    • Reject the alternative hypothesis.
    • Reject the null hypothesis.
  6. Is the result considered significant?
    • Yes. The result is significant because the p-value is >α>α.
    • No. The result is not significant because the p-value is ≤α≤α.
    • Yes. The result is significant because the p-value is ≤α≤α.
    • No. The result is not significant because the p-value is >α>α.
  7. We conclude that:
    • We can dispute the oceanographer's claim that the mean dive depth of a North Atlantic right whale is 93 meters at the 0.01 level of significance.
    • We cannot dispute the oceanographer's claim that the mean dive depth of a North Atlantic right whale is 93 meters at the 0.01 level of significance.
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