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An experiment was planned to compare the mean time (in days) required to recover from a...

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 given a vitamin supplement, μ1. Suppose that 31 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
Supplement
4 mg
Vitamin C
Sample Size 31 31
Sample Mean 6.7 5.3
Sample Standard Deviation

2.6

1.7

Conduct the statistical test of the null hypothesis in part (a) and state your conclusion. Test using α = 0.05. (Round your answers to two decimal places.)

z = _____

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