Question 8 (10 points) ved Participants in a random sample of 10 professional fo

Question

Question 8 (10 points) ved Participants in a random sample of 10 professional football players are placed on a yogurt-and- banana diet for one month. The weights before and after one month on the diet are as follow: Before 187 205 165 193 199 286 212 189 242 253 fter 175 193 167 190 197 240 210 189221 255 TABLE 1 We want to determine if the yogurt-and-banana diet helps reduce the weight of the football players. Assume the weight of the professional football players is approximately normally distributed This is a test of: Two independent population means, population standard deviations unknown. Paired or matched samples. Two independent population means, population standard deviations known. Two population proportions.

Explanation / Answer

Paired or matched samples.

Here we want to test the average weight before diet and average weight after diet. Also the weights are normally distributed. Here we take two observations on the same individual. Hence we use here paired t test in which population standard deviations are unknown. Here we estimate the population standard deviations and proceed further.

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