MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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nutritionist claims that the mean tuna consumption by a person is
3.4
pounds per year. A sample of
90
people shows that the mean tuna consumption by a person is
3.3
pounds per year. Assume the population standard deviation is
1.02
pounds. At
α=0.03,
can you reject the claim?(a) Identify the null hypothesis and alternative hypothesis.
H0:
μ=3.4
Ha:
μ≠3.4
H0:
μ>3.4
Ha:
μ≤3.4
H0:
μ≤3.3
Ha:
μ>3.3
H0:
μ≤3.4
Ha:
μ>3.4
H0:
μ>3.3
Ha:
μ≤3.3
H0:
μ≠3.3
Ha:
μ=3.3
(b) Identify the standardized test statistic.
z=negative 0.93−0.93
(Round to two decimal places as needed.)(c) Find the P-value.
0.3520.352
(Round to three decimal places as needed.)(d) Decide whether to reject or fail to reject the null hypothesis.
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