Question 5 (5 points) A homeopathic remedy for the common cold swears to work mo

Question

Question 5 (5 points) A homeopathic remedy for the common cold swears to work more quickly than any over-the-counter cold medicine. You decide to test this using data collected from 115 participants who took the homeopathic remedy and 104 participants who used the same type of regular cold medicine. The mean days to get better are 5.5 for those who used the homeopathic remedy with a standard deviation of 0.5. The mean and standard deviation for those who used cold medicine are 5.7 and 0.6, respectively. Assume alpha .05 Is the homeopathic remedy better than over-the-counter medicine in this example? O Yes, the p-value of .0077 is less than alpha O No, the p-value of .0039 is greater than alpha ( Yes, the obtained t value =-2

Explanation / Answer

The statistical software output for this problem is:

Two sample T summary hypothesis test:
1 : Mean of Population 1
2 : Mean of Population 2
1 - 2 : Difference between two means
H0 : 1 - 2 = 0
HA : 1 - 2 < 0
(with pooled variances)

Hypothesis test results:

Hence,

The answer is Yes, the p - value 0.0039 is less than alpha.

Option D is correct.

Difference Sample Diff. Std. Err. DF T-Stat P-value 1 - 2 -0.2 0.074389614 217 -2.6885473 0.0039

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