We want to compare the average weight of patients before and after a speciality diet is administered. We expect the weight to decrease after administration of the diet. Which of the following tests should be conducted to determine if the average weight for each patient is less at the conclusion of the test? A. paired t-test B. one- sample t-test C. t-test for two independent sample means D. z-test for comparing two population proportions
Solution:-) In the above question we want to compare the average weight of patients before and after a speciality diet is administered. So, obviously here we cannot use one- sample t-test, as there is comparison between two groups. So, there will be test between two samples, we need to check wheather the groups are dependent or independent. The sample selected from the first population is related to the corresponding sample from the second population. As we want to see wheather the average weight is decreased of the same patient. Hence, they are independent samples, So, we will use paired t-test. and z-test cannot be used as standard deviation is not known.
Hence, option (A) paired t- test will be correct.
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