A company that makes cola drinks states that the mean caffeine content per 12-ounce bottle of cola is 40 milligrams. You want to test this claim. During your tests, you find that a random sample of thirty 12-ounce bottles of cola has a mean caffeine content of 40.9 milligrams. Assume the population is normally distributed and the population standard deviation is 6.5 milligrams. At a = 0.08, can you reject the company's claim? Complete parts (a) through (e). (a) Identify Ho and H₂. Choose the correct answer below. O A. Ho: μ*40.9 Hg: μ = 40.9 OC. Ho: #40 H₂: μ = 40 O E. Ho: 240.9 H₂H<40.9 CIER OB. Ho: H=40 Ha:μ#40 OD. Ho: 240 H₂:μ<40 OF. Ho: H=40.9 Ha: μ*40.9 (b) Find the critical value(). Select the correct choice below and fill in the answer box within your choice. (Round to two decimal places as needed.) OA. The critical values are + OB. The critical value is Identify the rejection region(s). Choose the correct answer below.
A company that makes cola drinks states that the mean caffeine content per 12-ounce bottle of cola is 40 milligrams. You want to test this claim. During your tests, you find that a random sample of thirty 12-ounce bottles of cola has a mean caffeine content of 40.9 milligrams. Assume the population is normally distributed and the population standard deviation is 6.5 milligrams. At a = 0.08, can you reject the company's claim? Complete parts (a) through (e). (a) Identify Ho and H₂. Choose the correct answer below. O A. Ho: μ*40.9 Hg: μ = 40.9 OC. Ho: #40 H₂: μ = 40 O E. Ho: 240.9 H₂H<40.9 CIER OB. Ho: H=40 Ha:μ#40 OD. Ho: 240 H₂:μ<40 OF. Ho: H=40.9 Ha: μ*40.9 (b) Find the critical value(). Select the correct choice below and fill in the answer box within your choice. (Round to two decimal places as needed.) OA. The critical values are + OB. The critical value is Identify the rejection region(s). Choose the correct answer below.
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.3: Special Probability Density Functions
Problem 8E
Related questions
Question
Plz help asap t5
Transcribed Image Text:A company that makes cola drinks states that the mean caffeine content per 12-ounce bottle of cola is 40 milligrams. You want to test this claim. During your tests, you find that a random sample of
thirty 12-ounce bottles of cola has a mean caffeine content of 40.9 milligrams. Assume the population is normally distributed and the population standard deviation is 6.5 milligrams. At α = 0.08, can
you reject the company's claim? Complete parts (a) through (e).
Fail to reject Ho-
Reject Ho
Z=
Q
Q
(c) Find the standardized test statistic.
(Round to two decimal places as needed.)
(d) Decide whether to reject or fail to reject the null hypothesis.
(...)
Fail to reject Ho- Q
Fail to reject Ho
Reject Ho
A A
Reject Ho
Reject Ho
O A. Since z is not in the rejection region, fail to reject the null hypothesis.
OB. Since z is not in the rejection region, reject the null hypothesis.
OC. Since z is in the rejection region, fail to reject the null hypothesis.
O D. Since z is in the rejection region, reject the null hypothesis.
(e) Interpret the decision in the context of the original claim.
At the 8% significance level, there
enough evidence to
the company's claim that the mean caffeine content per 12-ounce bottle of cola
Q
milligrams.
Transcribed Image Text:A company that makes cola drinks states that the mean caffeine content per 12-ounce bottle of cola is 40 milligrams. You want to test this claim. During your tests, you find that a random sample of
thirty 12-ounce bottles of cola has a mean caffeine content of 40.9 milligrams. Assume the population is normally distributed and the population standard deviation is 6.5 milligrams. At a = 0.08, can
you reject the company's claim? Complete parts (a) through (e).
(a) Identify Ho and H₂. Choose the correct answer below.
OA. Ho: μ#40.9
H₂: H=40.9
OC. Ho: μ#40
Ha: H=40
O E. Ho: 240.9
Ha: H<40.9
Identify the rejection region(s). Choose the correct answer below.
O A.
Fail to reject Ho-
Q
Q
(b) Find the critical value(). Select the correct choice below and fill in the answer box within your choice.
(Round to two decimal places as needed.)
OA. The critical values are +
OB. The critical value is
OB.
(...)
Fail to reject Ho
OB. Ho: μ=40
H₂:μ#40
O D. Ho: 240
Ha: <40
OF. Ho: H=40.9
Ha: μ#40.9
Q
Q
O C.
Fail to reject Ho
Q
Q
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 7 steps with 4 images
Recommended textbooks for you
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Algebra
ISBN:
9781680331141
Author:
HOUGHTON MIFFLIN HARCOURT
Publisher:
Houghton Mifflin Harcourt
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Algebra
ISBN:
9781680331141
Author:
HOUGHTON MIFFLIN HARCOURT
Publisher:
Houghton Mifflin Harcourt