An oceanographer claims that the mean dive duration of a North Atlantic right whale is 11.6 minutes. A random sample of 33 dive durations has a mean of 12.4 minutes and a standard deviation of 2.3 minutes. At a = 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 Ho and H H3: (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. (Round to two decimal places as needed.) Obtain the P-value. P= (Round to three decimal places as needed.) (c) Decide whether to reject or fail to reject the null hypothesis. Ho because the P-value i greater than a. (d) Interpret the decision in the context of the original claim. There enough evidence at the % level of significance to the claim that the mean minimum time it takes for a sedan to travel a quarter mile is seconds. (Type integers or decimals. Do not round.)

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Topic Video
Question
8
An oceanographer claims that the mean dive duration of a North Atlantic right whale is 11.6 minutes. A random sample of 33 dive durations has a mean of 12.4 minutes and
a standard deviation of 2.3 minutes. At a = 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 Ho and H
Hg:
H:
(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.
(Round to two decimal places as needed.)
Obtain the P-value.
P=
(Round to three decimal places as needed.)
(c) Decide whether to reject or fail to reject the null hypothesis.
Ho because the P-value i
greater than a.
(d) Interpret the decision in the context of the original claim.
There
enough evidence at the
% level of significance to
the claim that the mean minimum time it takes for a sedan to travel a quarter mile is
seconds.
(Type integers or decimals. Do not round.)
Transcribed Image Text:An oceanographer claims that the mean dive duration of a North Atlantic right whale is 11.6 minutes. A random sample of 33 dive durations has a mean of 12.4 minutes and a standard deviation of 2.3 minutes. At a = 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 Ho and H Hg: H: (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. (Round to two decimal places as needed.) Obtain the P-value. P= (Round to three decimal places as needed.) (c) Decide whether to reject or fail to reject the null hypothesis. Ho because the P-value i greater than a. (d) Interpret the decision in the context of the original claim. There enough evidence at the % level of significance to the claim that the mean minimum time it takes for a sedan to travel a quarter mile is seconds. (Type integers or decimals. Do not round.)
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