A study compared weight loss between patients on diet A and patients on diet B.
ID: 3220454 • Letter: A
Question
A study compared weight loss between patients on diet A and patients on diet B. Patients on diet A lost a mean of 7.6 pounds in six months, whereas patients on diet B lost a mean of 7.4 pounds in six months. Suppose that the study was based on a sample of 500 patients on diet A and 600 patients on diet B, and the standard deviation of the amount lost was 3.6 pounds for diet A and 2.6 pounds for diet B. Complete parts (a) through (d).
d. Assume the population variances are equal. Using a
0.05
level of significance, is there evidence of a difference in the mean weight loss of patients between the two diets?
Find the test statistic.
Explanation / Answer
The statistical software output for this problem is:
Two sample T 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,
Test statistic = 1.067 (Rounded off to 3 decimal places)
Difference Sample Diff. Std. Err. DF T-Stat P-value 1 - 2 0.2 0.18739829 1098 1.0672456 0.2861Related Questions
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