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.

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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