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: mu = 11.6 ) ( h_a: mu
eq 11.6 ) (type integers or decimals. do not round.) the claim is the null hypothesis. (b) use technology to find the p - value. find the standardized test statistic, t. ( t = 1.88 ) (round to two decimal places as needed.) obtain the p - value. ( p = 0.068 ) (round to three decimal places as needed.) (c) decide whether to reject or fail to reject the null hypothesis. ( h_0 ) because the p - value greater than α.

Explanation:

Step1: Compare P - value and significance level

We are given \(\alpha = 0.01\) and \(P=0.068\).

Step2: Make a decision

Since \(P = 0.068>0.01=\alpha\).

Answer:

Fail to reject \(H_{0}\) because the \(P -\)value is greater than \(\alpha\).