ersons given a daily dose of 4 milligrams (mg) of vitamin C, ?2, versus those who were not, ?1. Suppose that 34 adults were randomly selected for each treatment category and that the mean recovery times and standard deviations for the two groups were as follows. sample size : 34 (no supplement), 34 (4mg supplement) sample mean : 6.7 (no supplement), 5.5 (4mg supplement) sample standard deviation : 2.6 (no supplement), 1.3 (4mg supplement)   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. One or two-tailed test? b) Conduct the statistical test of the null hypothesis in part (a) and state your conclusion. Test using  ? = 0.05. (Round your answer to two decimal places.)   find test statistic z = ? find the rejection region z > ? , z < ? conclusion?

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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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, ?2, versus those who were not, ?1. Suppose that 34 adults were randomly selected for each treatment category and that the mean recovery times and standard deviations for the two groups were as follows.

sample size : 34 (no supplement), 34 (4mg supplement)

sample mean : 6.7 (no supplement), 5.5 (4mg supplement)

sample standard deviation : 2.6 (no supplement), 1.3 (4mg supplement)

 

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. One or two-tailed test?

b) Conduct the statistical test of the null hypothesis in part (a) and state your conclusion. Test using 

? = 0.05. (Round your answer to two decimal places.)
 
find test statistic z = ?
find the rejection region z > ? , z < ?
conclusion?
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