An oceanographer claims that the mean dive duration of a North Atlantic right whale is 11.7 minutes. A random sample of 32 dive durations has a mean of 12.4 minutes and a standard deviation of 2.2 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.

Obtain theP-value.

P=

(Round to three decimal places asneeded.)