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.H0: H1: The test statistic is The p-value for this hypothesis test is .The correct decision is:Reject the claim.Do not reject the null hypothesis.Reject the alternative hypothesis.Reject the null hypothesis.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.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.

Answered: An oceanographer claims that the mean…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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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.

H₀:
H₁:
The test statistic is
The p-value for this hypothesis test is .
The correct decision is:
- Reject the claim.
- Do not reject the null hypothesis.
- Reject the alternative hypothesis.
- Reject the null hypothesis.
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.
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.