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 12.4 minutes and a standard deviation of 2.3 minutes. At =0.01 is there enough evidence to reject theoceanographer's claim? Complete parts(a) through(d) below. Assume the population is normally distributed.

(a) Identify the claim and state H0 and Ha.

H0:

mu

equals

=

11.6

11.6

Ha:

mu

not equals

11.6

11.6

(Type integers or decimals. Do notround.)

The claim is the null

hypothesis.

(b) Use technology to find theP-value. Find the standardized teststatistic, t.

t= 2.05

(Round to two decimal places asneeded.)

Obtain theP-value.

P=

I have only difficulty to find P, I found 0.024 it was incorrect.