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.

MATLAB: An Introduction with Applications
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A 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.
 
 
A.
H0​:
μ=3.4
Ha​:
μ≠3.4
Your answer is correct.
 
B.
H0​:
μ>3.4
Ha​:
μ≤3.4
 
C.
H0​:
μ≤3.3
Ha​:
μ>3.3
 
D.
H0​:
μ≤3.4
Ha​:
μ>3.4
 
E.
H0​:
μ>3.3
Ha​:
μ≤3.3
 
F.
H0​:
μ≠3.3
Ha​:
μ=3.3
​(b) Identify the standardized test statistic.
 
z=negative 1.34−1.34
​(Round to two decimal places as​ needed.)
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