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 α=0.01 is there enough evidence to reject the​ oceanographer's claim? Complete parts​ (a) through​ (d) below. Assume the population is normally distributed.       ​(a) Identify the claim and state H0 and Ha.   H0:  muμ   equals=   11.711.7 Ha:  muμ   not equals≠   11.711.7 ​(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=1.791.79 ​(Round to two decimal places as​ needed.)   Obtain the​ P-value.   P= ​(Round to three decimal places as​ needed.)

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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
α=0.01
is there enough evidence to reject the​ oceanographer's claim? Complete parts​ (a) through​ (d) below. Assume the population is normally distributed.
 
 
 
​(a) Identify the claim and state
H0
and
Ha.
 
H0: 
muμ
 
equals=
 
11.711.7
Ha: 
muμ
 
not equals≠
 
11.711.7
​(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=1.791.79
​(Round to two decimal places as​ needed.)
 
Obtain the​ P-value.
 
P=
​(Round to three decimal places as​ needed.)
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