I need help with all parts of this question 19 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, μ2, versus those who were not, μ₁. Suppose that 34 adults were randomly selected for eachtreatment category and that the mean recovery times and standard deviations for the two groups were as follows.Is this a one- or a two-tailed test?O one-tailed testtwo-tailed testSample SizeSample MeanSample Standard Deviation(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: (M₁M₂) = 0 versus H₂: (μ₁ −μ₂) > 0O Ho: (M₁ M₂) 0 versus H₂: (μ₁ −μ₂) = 0O Ho: (M₁M₂) = 0 versus H₂: (μ₁ −µ₂) <0O Ho: (M₁M₂) < 0 versus H₂: (μ₁ −μ₂) >0O Ho: (M₁ M₂) = 0 versus H₂: (μ₁ −µ₂) # 0z =No VitaminSupplement346.52.6(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.Z >4 mgVitamin C345.11.1Z <Find the rejection region. (Round your answers to two decimal places. If the test is one-tailed, enter NONE for the unused region.)Conclusion:о ноis rejected. There is insufficient evidence to indicate that Vitamin C reduces the mean recovery time.O Ho is not rejected. There is sufficient evidence to indicate that Vitamin C reduces the mean recovery time.O Ho is not rejected. There is insufficient evidence to indicate that Vitamin C reduces the mean recovery time.O Ho is rejected. There is sufficient evidence to indicate that Vitamin C reduces the mean recovery time.

The data is given as- No vitamin suppleiment :x 4 mg vitamin C: y Sample size 34 34 Sample…

in experiment was planned to compare the mean time days) required to recover from a common for persons given a daily dose of milligrams (mg) of treatment category and that the mean recovery times and standard deviations for the two groups were as follows. Sample Size Sample Mean Sample Standard Deviation No Vitamin Supplement 34 6.5 2.6 Is this a one- or a two-tailed test? O one-tailed test O two-tailed test (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: (H₂-H₂) = 0 versus H₂: (H₁-H₂) > 0 O Ho: (H₁-H₂) = 0 versus H₂: (₁H₂) = 0 O Ho: (H₁-H₂) = 0 versus H₂: (H₁-H₂) <0 O Ho: (H₂-H₂) <0 versus H₂: (H₁-H₂) >0 O Ho: (H₂-H₂) = 0 versus H₂: (H₁-H₂) = 0 4 mg Vitamin C 34 5.1 1.1 (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.) Conclusion: Ho is rejected. There is insufficient evidence to indicate that Vitamin C reduces the mean recovery time. O Ho is not rejected. There is sufficient evidence to indicate that Vitamin C reduces the mean recovery time. O Ho is not rejected. There is insufficient evidence to indicate that Vitamin C reduces the mean recovery time. OH is rejected. There is sufficient evidence to indicate that Vitamin C reduces the mean recovery time rsus those who were H₂, versus were not, A₁. Suppose that 34 adults were randomly selecte

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