An oceanographer claims that the mean dive depth of a North Atlantic right whale is 113 meters. You suspect that this claim is not true. In order to refute the oceanographer's claim, you obtain a random sample of 38 dive depths with a mean of 95 meters and a standard deviation of 43.5 meters. State the null and alternative hypotheses of this test. Null Hypothesis (Ho): Alternative Hypothesis (HA): H[? ) To test our hypothesis, we will assume that u = The distribution of sample means follows a ( Select an answer distribution with degrees of freedom. The value of our test statistic is The p-value for this hypothesis test is Report answer accurate to four decimal places. Is the result considered significant at the a = 0.05 level of significance? No. The result is not significant because the p-value is > a. Yes. The result is significant because the p-value is > a. Yes. The result is significant because the p-value is < a. No. The result is not significant because the p-value is < a. We conclude that We can dispute the oceanographer's claim that the mean dive depth of a North Atlantic right whale is 113 meters at the 0.05 level of significance. We cannot dispute the oceanographer's claim that the mean dive depth of a North Atlantic right whale is 113 meters at the 0.05 level of significance.

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Chapter1: Starting With Matlab
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An oceanographer claims that the mean dive depth of a North Atlantic right whale
is 113 meters. You suspect that this claim is not true. In order to refute the
oceanographer's claim, you obtain a random sample of 38 dive depths with a mean
of 95 meters and a standard deviation of 43.5 meters. State the null and alternative
hypotheses of this test.
Null Hypothesis (Ho):
Alternative Hypothesis (HA): H[? )
To test our hypothesis, we will assume that u =
The distribution of sample means follows a ( Select an answer distribution with
degrees of freedom.
The value of our test statistic is
The p-value for this hypothesis test is
Report answer accurate to four decimal places.
Is the result considered significant at the a = 0.05 level of significance?
No. The result is not significant because the p-value is > a.
Yes. The result is significant because the p-value is > a.
Yes. The result is significant because the p-value is < a.
No. The result is not significant because the p-value is < a.
We conclude that
We can dispute the oceanographer's claim that the mean dive depth of a
North Atlantic right whale is 113 meters at the 0.05 level of significance.
We cannot dispute the oceanographer's claim that the mean dive depth of a
North Atlantic right whale is 113 meters at the 0.05 level of significance.
Transcribed Image Text:An oceanographer claims that the mean dive depth of a North Atlantic right whale is 113 meters. You suspect that this claim is not true. In order to refute the oceanographer's claim, you obtain a random sample of 38 dive depths with a mean of 95 meters and a standard deviation of 43.5 meters. State the null and alternative hypotheses of this test. Null Hypothesis (Ho): Alternative Hypothesis (HA): H[? ) To test our hypothesis, we will assume that u = The distribution of sample means follows a ( Select an answer distribution with degrees of freedom. The value of our test statistic is The p-value for this hypothesis test is Report answer accurate to four decimal places. Is the result considered significant at the a = 0.05 level of significance? No. The result is not significant because the p-value is > a. Yes. The result is significant because the p-value is > a. Yes. The result is significant because the p-value is < a. No. The result is not significant because the p-value is < a. We conclude that We can dispute the oceanographer's claim that the mean dive depth of a North Atlantic right whale is 113 meters at the 0.05 level of significance. We cannot dispute the oceanographer's claim that the mean dive depth of a North Atlantic right whale is 113 meters at the 0.05 level of significance.
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