Question

question 18, 7.3.28 - t
part 1 of 3
hw score: 67.31%, 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 dropdown value
hₐ: μ dropdown value
(type integers or decimals. do not round.)
the claim is the dropdown hypothesis.

Explanation:

Step1: Identify the claim

The claim is that the mean dive duration is \(11.7\) minutes.

Step2: Set up the null hypothesis \(H_0\)

The null hypothesis \(H_0\) is a statement of equality. So, \(H_0:\mu = 11.7\)

Step3: Set up the alternative hypothesis \(H_a\)

Since we are testing if there is enough evidence to reject the claim (a two - tailed test in general for a claim about a mean when not specified otherwise), \(H_a:\mu
eq11.7\)

Answer:

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