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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:

Calculus For The Life Sciences
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
Section13.2: Expected Value And Variance Of Continuous Random Variables
Problem 10E
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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.
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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