A nutritionist claims that the mean tuna consumption by a person is 3.3 pounds per year. A sample of 70 people shows that the mean tuna consumption by a person is 3.1 pounds per year. Assume the population standard deviation is 1.05 pounds. At a= 0.06, can you reject the claim?
A nutritionist claims that the mean tuna consumption by a person is 3.3 pounds per year. A sample of 70 people shows that the mean tuna consumption by a person is 3.1 pounds per year. Assume the population standard deviation is 1.05 pounds. At a= 0.06, 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
Section: Chapter Questions
Problem 22SGR
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![A nutritionist claims that the mean tuna consumption by a person is 3.3 pounds per year. A sample of 70 people shows that the mean tuna consumption by a person is 3.1 pounds per year. Assume the population standard deviation is
1.05 pounds. At a = 0.06, can you reject the claim?
Ha: p> 3.1
H3: µs3.1
H, µ#3.3
a
(b) Identify the standardized test statistic.
z= - 1.59 (Round to two decimal places as needed.)
(c) Find the P-value.
0.112 (Round to three decimal places as needed.)
(d) Decide whether to reject or fail to reject the null hypothesis.
O B. Fail to reject Ho. There is not sufficient evidence to reject the claim that mean tuna consumption is equal
to 3.3 pounds.
A. Reject Ho- There is sufficient evidence to reject the claim that mean tuna consumption is equal to 3.3
pounds.
O C. Fail to reject Ho. There is sufficient evidence to reject the claim that mean tuna consumption is equal to
3.3 pounds.
O D. Reject Ho There is not sufficient evidence to reject the claim that mean tuna consumption is equal to 3.3
pounds.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2331d250-7ac0-42d1-a85b-7a821b46e112%2Fc0ca8d97-9352-4497-ab6d-3dc099c93688%2Fen6ro4_processed.jpeg&w=3840&q=75)
Transcribed Image Text:A nutritionist claims that the mean tuna consumption by a person is 3.3 pounds per year. A sample of 70 people shows that the mean tuna consumption by a person is 3.1 pounds per year. Assume the population standard deviation is
1.05 pounds. At a = 0.06, can you reject the claim?
Ha: p> 3.1
H3: µs3.1
H, µ#3.3
a
(b) Identify the standardized test statistic.
z= - 1.59 (Round to two decimal places as needed.)
(c) Find the P-value.
0.112 (Round to three decimal places as needed.)
(d) Decide whether to reject or fail to reject the null hypothesis.
O B. Fail to reject Ho. There is not sufficient evidence to reject the claim that mean tuna consumption is equal
to 3.3 pounds.
A. Reject Ho- There is sufficient evidence to reject the claim that mean tuna consumption is equal to 3.3
pounds.
O C. Fail to reject Ho. There is sufficient evidence to reject the claim that mean tuna consumption is equal to
3.3 pounds.
O D. Reject Ho There is not sufficient evidence to reject the claim that mean tuna consumption is equal to 3.3
pounds.
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