A nutritionist claims that the mean tuna consumption by a person is 3.5 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 a = 0.08, can you reject the claim?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.1: Measures Of Center
Problem 9PPS
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A nutritionist claims that the mean tuna consumption by a person is 3.5 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 a = 0.08, can you reject the claim?
(a) Identify the null hypothesis and alternative hypothesis.
Α H: μέ3.5
Hai p>3.5
B. Ho: μ>3.5
Ha: us3.5
C. Ho: µ#3.3
Hạ: u= 3.3
D. H0: μ=3.5
Ha: u#3.5
E. H: με3.3
Ha: u> 3.3
O F. Ho: µ> 3.3
Ha: us3.3
(b) Identify the standardized test statistic.
- 1.86 (Round to two decimal places as needed.)
(c) Find the P-value.
(Round to three decimal places as needed.)
Transcribed Image Text:A nutritionist claims that the mean tuna consumption by a person is 3.5 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 a = 0.08, can you reject the claim? (a) Identify the null hypothesis and alternative hypothesis. Α H: μέ3.5 Hai p>3.5 B. Ho: μ>3.5 Ha: us3.5 C. Ho: µ#3.3 Hạ: u= 3.3 D. H0: μ=3.5 Ha: u#3.5 E. H: με3.3 Ha: u> 3.3 O F. Ho: µ> 3.3 Ha: us3.3 (b) Identify the standardized test statistic. - 1.86 (Round to two decimal places as needed.) (c) Find the P-value. (Round to three decimal places as needed.)
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