MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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Question
An oceanographer claims that the mean dive duration of a North Atlantic right whale is
normally distributed.
11.6
minutes. A random sample of
36
dive durations has a mean of
12.3
minutes and a standard deviation of
2.3
minutes. At
α=0.10
is there enough evidence to reject the oceanographer's claim? Complete parts (a) through (d) below. Assume the population is (a) Identify the claim and state
H0
and
Ha.
H0:
|
▼
sigmaσ
pp
sigma squaredσ2
muμ
▼
greater than>
greater than or equals≥
less than<
equals=
not equals≠
less than or equals≤
|
Ha:
|
▼
sigmaσ
pp
sigma squaredσ2
muμ
▼
greater than>
greater than or equals≥
not equals≠
less than or equals≤
less than<
equals=
|
(Type integers or decimals. Do not round.)
The claim is the
hypothesis.
▼
null
alternative
(b) Use technology to find the P-value. Find the standardized test statistic, t.
t=enter your response here
(Round to two decimal places as needed.)
Obtain the P-value.
P=enter your response here
(Round to three decimal places as needed.)
(c) Decide whether to reject or fail to reject the null hypothesis.
▼
Reject
Fail to reject
H0
because the P-value
▼
is
is not
α.
(d) Interpret the decision in the context of the original claim.
There
enough evidence at the
the claim that the mean dive duration of a North Atlantic right whale is
▼
is
is not
enter your response here%
level of significance to
▼
rejectreject
supportsupport
▼
not equal to
less than
equal to
less than or equal to
greater than
greater than or equal to
enter your response here
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