Question

An oceanographer claims that the mean dive duration of a North Atlantic right whale is 11.5 minutes. A random sample of 34 dive durations has a mean of 12.2 minutes and a standard deviation of 2.2 minutes. At alphaequals0.01 is there enough evidence to reject the​ oceanographer's claim? Complete parts​ (a) through​ (d) below. Assume the population is normally distributed

Answer 1

Step 1:

Ho: = 11.5

Ha: 11.5

Null hypothesis states that mean dive duration of a North Atlantic right whale is 11.5 minutes

ALternative hypothesis states that mean dive duration of a North Atlantic right whale is not equal to 11.5 minutes

Step 2: Test statistics

n= 34

sample mean = 12.2

sample sd = 2.2

Step 3:

df = 33

level of significance = 0.01

t critical for two tailed test = +/- 2.73327665

As t stat (1.855) does not fall in the rejection area, we fail to reject the Null hypothesis.

Hence we do not have sufficient evidence to believe that mean dive duration of a North Atlantic right whale is not equal to 11.5 minutes