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mework: homework #12 question 18, 7.3.28-t part 1 of 6 hw score: 67.34%…

Question

mework: homework #12 question 18, 7.3.28-t part 1 of 6 hw score: 67.34%, 14.81 of 22 points points: 0 of 1 an oceanographer claims that the mean dive duration of a north atlantic right whale is 11.7 minutes. a random sample of 34 dive durations has a mean of 12.7 minutes and a standard deviation of 2.3 minutes. at α = 0.05 is there enough evidence to reject the oceanographer’s claim? complete parts (a) through (d) below. assume the population is normally distributed. (a) identify the claim and state h₀ and hₐ. h₀: μ > hₐ: μ ≠ (type integers or decimals. do not round.) the claim is the alternative hypothesis.

Explanation:

Step1: Understand the claim

The oceanographer claims that the mean dive duration is 11.7 minutes. This is the null hypothesis \(H_0\).

Step2: Set up the hypotheses

The null hypothesis \(H_0:\mu = 11.7\) (the claim). The alternative hypothesis \(H_a:\mu
eq11.7\) (since we are testing if there is enough evidence to reject the claim, a two - tailed test).

Answer:

\(H_0:\mu = 11.7\), \(H_a:\mu
eq11.7\). The claim is the null hypothesis \(H_0\).