If you want to show that the use of vitamin C reduces the mean time to recover from a common cold, give the null and alternative hypotheses for the test. O Họ: (Hy - H2) = 0 versus H,: (Hy – H2) > o O Hạ: (H, - H2) = o versus H,: (H, - H2) = 0 O Ho: (Hy - Hz) < O versus H,: (4, - H2) > o O Hoi (Hy- M2) = 0 versus H,: (4, - H2) = 0 O Ho: (Hy - H2) = 0 versus H,: (H, - H2) < 0 Is this a one- or a two-tailed test? one-tailed test two-tailed test O Conduct the statistical test of the null hypothesis in part (a) and state your conclusion. Test using a = 0.05. (Round your answer to two decimal places.) Find the test statistic. Find the rejection region. (Round your answers to two decimal places. If the test is one-tailed, enter NONE for the unused region.) Conclusion:
If you want to show that the use of vitamin C reduces the mean time to recover from a common cold, give the null and alternative hypotheses for the test. O Họ: (Hy - H2) = 0 versus H,: (Hy – H2) > o O Hạ: (H, - H2) = o versus H,: (H, - H2) = 0 O Ho: (Hy - Hz) < O versus H,: (4, - H2) > o O Hoi (Hy- M2) = 0 versus H,: (4, - H2) = 0 O Ho: (Hy - H2) = 0 versus H,: (H, - H2) < 0 Is this a one- or a two-tailed test? one-tailed test two-tailed test O Conduct the statistical test of the null hypothesis in part (a) and state your conclusion. Test using a = 0.05. (Round your answer to two decimal places.) Find the test statistic. Find the rejection region. (Round your answers to two decimal places. If the test is one-tailed, enter NONE for the unused region.) Conclusion:
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 1GP
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Question
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![An experiment was planned to compare the mean time (in days) required to recover from a common cold for persons given a daily dose of 4 milligrams (mg) of vitamin C, u, versus those who were not, µ,. Suppose that 32 adults were randomly selected for each
treatment category and that the mean recovery times and standard deviations for the two groups were as follows.
No Vitamin
4 mg
Vitamin C
Supplement
Sample Size
32
32
Sample Mean
6.3
5.3
Sample Standard Deviation
2.7
1.4
(a) If you want to show that the use of vitamin C reduces the mean time to recover from a common cold, give the null and alternative hypotheses for the test.
O Ho: (H, - H2) = 0 versus H: (H, - H2) > 0
O Ho: (H, - H2) = 0 versus H: (u, - H2) = 0
O Ho: (H, - H2) < O versus H: (u, - u2) > 0
O Ho: (H1 - H2) = 0 versus H,: (H1 - H2) # 0
О на: (и, - и2) %3D O versus H,: (и, - и) <о
Is this a one- or a two-tailed test?
O one-tailed test
O two-tailed test
(b) Conduct the statistical test of the null hypothesis in part (a) and state your conclusion. Test using a = 0.05. (Round your answer to two decimal places.)
Find the test statistic.
Find the rejection region. (Round your answers to two decimal places. If the test is one-tailed, enter NONE for the unused region.)
z >
Conclusion:
O H, is not rejected. There is insufficient evidence to indicate that Vitamin C reduces the mean recovery time.
O H, is not rejected. There is sufficient evidence to indicate that Vitamin C reduces the mean recovery time.
O H, is rejected. There is insufficient evidence to indicate that Vitamin C reduces the mean recovery time.
O H, is rejected. There is sufficient evidence to indicate that Vitamin C reduces the mean recovery time.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7104469d-fb7e-48cd-bb9c-a2d8cb607855%2F4e2af63b-2757-47ca-bb37-710224723aa3%2F3ywjbud_processed.png&w=3840&q=75)
Transcribed Image Text:An experiment was planned to compare the mean time (in days) required to recover from a common cold for persons given a daily dose of 4 milligrams (mg) of vitamin C, u, versus those who were not, µ,. Suppose that 32 adults were randomly selected for each
treatment category and that the mean recovery times and standard deviations for the two groups were as follows.
No Vitamin
4 mg
Vitamin C
Supplement
Sample Size
32
32
Sample Mean
6.3
5.3
Sample Standard Deviation
2.7
1.4
(a) If you want to show that the use of vitamin C reduces the mean time to recover from a common cold, give the null and alternative hypotheses for the test.
O Ho: (H, - H2) = 0 versus H: (H, - H2) > 0
O Ho: (H, - H2) = 0 versus H: (u, - H2) = 0
O Ho: (H, - H2) < O versus H: (u, - u2) > 0
O Ho: (H1 - H2) = 0 versus H,: (H1 - H2) # 0
О на: (и, - и2) %3D O versus H,: (и, - и) <о
Is this a one- or a two-tailed test?
O one-tailed test
O two-tailed test
(b) Conduct the statistical test of the null hypothesis in part (a) and state your conclusion. Test using a = 0.05. (Round your answer to two decimal places.)
Find the test statistic.
Find the rejection region. (Round your answers to two decimal places. If the test is one-tailed, enter NONE for the unused region.)
z >
Conclusion:
O H, is not rejected. There is insufficient evidence to indicate that Vitamin C reduces the mean recovery time.
O H, is not rejected. There is sufficient evidence to indicate that Vitamin C reduces the mean recovery time.
O H, is rejected. There is insufficient evidence to indicate that Vitamin C reduces the mean recovery time.
O H, is rejected. There is sufficient evidence to indicate that Vitamin C reduces the mean recovery time.
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