Question

an oceanographer claims that the mean dive duration of a north atlantic right whale is 11.6 minutes. a random sample of 35 dive durations has a mean of 12.3 minutes and a standard deviation of 2.2 minutes. at α = 0.01 is there enough evidence to reject the oceanographers claim? complete parts (a) through (d) below. assume the population is normally distributed.
(a) identify the claim and state ( h_0 ) and ( h_a ).
( h_0 ):
( h_a ):
(type integers or decimals. do not round.)
the claim is the hypothesis.

Explanation:

The claim is about the population mean. In hypothesis testing, the null hypothesis \(H_0\) is a statement of equality. The oceanographer claims the mean dive duration \(\mu = 11.6\) minutes, so \(H_0:\mu=11.6\). The alternative hypothesis \(H_a\) is the statement that we are trying to find evidence for. Since we are just testing if the claim is wrong (a two - tailed test as no direction is specified other than “reject the claim”), \(H_a:\mu
eq11.6\). The claim is the null hypothesis because the initial statement by the oceanographer is a statement of equality.

Answer:

\(H_0:\mu = 11.6\)
\(H_a:\mu
eq11.6\)
The claim is the null hypothesis.