A nutritionist claims that the mean tuna consumption by a person is 3.4 pounds per year. A sample of 60 people shows that the mean tuna consumption by a person is 3.3 pounds per year. Assume the population standard deviation is 1.11 pounds. At a = 0.02, can you reject the claim? (a) Identify the null hypothesis and alternative hypothesis. O A. Ho: H>3.3 O B. Ho: >3.4 OC. Ho: HS3.4 Ha: u53.3 Ha: us3.4 Ha: > 3.4 O D. Ho: HS3.3 O F. Ho: =3.4 O E. Ho: H#3.3 Ha: u=3.3 Ha:u>3.3 Hai u#3.4 (b) Identify the standardized test statistic. z= 0.33 (Round to two decimal places as needed.) (c) Find the P-value. 0.333 (Round to three decimal places as needed.) (d) Decide whether to reject or fail to reject the null hypothesis. O A. Reject Ho. There is not sufficient evidence to reject the claim that mean O B. Fail to reject Ho. There is sufficient evidence to reject the claim that mean tuna consumption is equal to 3.4 pounds. tuna consumption is equal to 3.4 pounds. OC. Reject Ho. There is sufficient evidence to reject the claim that mean tuna O D. Fail to reject Ho. There is not sufficient evidence to reject the claim that consumption is equal to 3.4 pounds. mean tuna consumption is equal to 3.4 pounds.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
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Author:Carter
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Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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A nutritionist claims that the mean tuna consumption by a person is 3.4 pounds per year. A sample of 60 people shows that the mean tuna consumption by a person
is 3.3 pounds per year. Assume the population standard deviation is 1.11 pounds. At a = 0.02, can you reject the claim?
.....
(a) Identify the null hypothesis and alternative hypothesis.
O A. Ho: H>3.3
O B. Ho: H>3.4
O C. H : μS 34
Ha: H53.3
Ha: HS 3.4
Ha:H>3.4
O D. Ho: HS 3.3
Ha:H> 3.3
O E. Ho: H#3.3
ΟF H : μ = 3.4
Ha:H=3.3
Ha: H#3.4
(b) Identify the standardized test statistic.
z= 0.33 (Round to two decimal places as needed.)
(c) Find the P-value.
0.333 (Round to three decimal places as needed.)
(d) Decide whether to reject or fail to reject the null hypothesis.
A. Reject Ho. There is not sufficient evidence to reject the claim that mean
O B. Fail to reject Ho. There is sufficient evidence to reject the claim that mean
tuna consumption is equal to 3.4 pounds.
tuna consumption is equal to 3.4 pounds.
O C. Reject Ho. There is sufficient evidence to reject the claim that mean tuna O D. Fail to reject Ho. There is not sufficient evidence to reject the claim that
consumption is equal to 3.4 pounds.
mean tuna consumption is equal to 3.4 pounds.
Transcribed Image Text:A nutritionist claims that the mean tuna consumption by a person is 3.4 pounds per year. A sample of 60 people shows that the mean tuna consumption by a person is 3.3 pounds per year. Assume the population standard deviation is 1.11 pounds. At a = 0.02, can you reject the claim? ..... (a) Identify the null hypothesis and alternative hypothesis. O A. Ho: H>3.3 O B. Ho: H>3.4 O C. H : μS 34 Ha: H53.3 Ha: HS 3.4 Ha:H>3.4 O D. Ho: HS 3.3 Ha:H> 3.3 O E. Ho: H#3.3 ΟF H : μ = 3.4 Ha:H=3.3 Ha: H#3.4 (b) Identify the standardized test statistic. z= 0.33 (Round to two decimal places as needed.) (c) Find the P-value. 0.333 (Round to three decimal places as needed.) (d) Decide whether to reject or fail to reject the null hypothesis. A. Reject Ho. There is not sufficient evidence to reject the claim that mean O B. Fail to reject Ho. There is sufficient evidence to reject the claim that mean tuna consumption is equal to 3.4 pounds. tuna consumption is equal to 3.4 pounds. O C. Reject Ho. There is sufficient evidence to reject the claim that mean tuna O D. Fail to reject Ho. There is not sufficient evidence to reject the claim that consumption is equal to 3.4 pounds. mean tuna consumption is equal to 3.4 pounds.
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