An oceanographer claims that the mean dive depth of a North Atlantic right whale is 90 meters. You suspect that this claim is not true. In order to refute the oceanographer's claim, you obtain a random sample of 31 dive depths with a mean of 72 meters and a standard deviation of 38.8 meters. State the null and alternative hypotheses of this test.
Null Hypothesis (H0):
Alternative Hypothesis (HA):
To test our hypothesis, we will assume that μ =
The distribution of sample means follows a 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 α = 0.05 level of significance?
Yes. The result is significant because the p-value is ≥ α.
No. The result is not significant because the p-value is < α.
Yes. The result is significant because the p-value is < α.
No. The result is not significant because the p-value is ≥ α.
We conclude that
We can dispute the oceanographer's claim that the mean dive depth of a North Atlantic right whale is 90 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 90 meters at the 0.05 level of significance.
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