Question
A nutritionist claims that the mean tuna consumption by a person is 3.5 pounds per year. A sample of 80 people shows that the mean
A nutritionist claims that the mean tuna consumption by a person is 3.5 pounds per year. A sample of 80 people shows that the mean tuna consumption by a person is 3.3 pounds per year. Assume the population standard deviation is 1.03 pounds. At =0.02, can you reject theclaim?
(a) Identify the null hypothesis and alternative hypothesis.
A.H0: =3.5
Ha: 3.5
B.H0: >3.3
Ha: 3.3
C.H0: 3.5
Ha: >3.5
D.H0: 3.3
Ha: =3.3
E.H0: 3.3
Ha: >3.3
F.H0: >3.5
Ha: 3.5
(b) Identify the standardized test statistic.
z=____________
(Round to two decimal places asneeded.)
(c) Find theP-value.
______________
(Round to three decimal places asneeded.)
(d) Decide whether to reject or fail to reject the null hypothesis.
A.Failtoreject H0. There isnot sufficient evidence to reject the claim that mean tuna consumption is equal to 3.5 pounds.
B.Reject H0. There isnot sufficient evidence to reject the claim that mean tuna consumption is equal to 3.5 pounds.
C.Failtoreject H0. There is sufficient evidence to reject the claim that mean tuna consumption is equal to 3.5 pounds.
D.Reject H0. There is sufficient evidence to reject the claim that mean tuna consumption is equal to 3.5 pounds.
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