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To investigate the efficacy of a diet, a random sample of 16 male patients is drawn...

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Statistics

To investigate the efficacy of a diet, a random sample of 16male patients is drawn from a population of adult males using thediet. The weight of each individual in the sample is taken at thestart of the diet and at a medical follow-up 4 weeks later.Assuming that the population of differences in weight before versusafter the diet follows a normal distribution, the t-test forrelated samples can be used to determine if there was a significantdecrease in the mean weight during this period. Suppose the meandecrease in weights over all 16 subjects in the study is 3.0 poundswith the standard deviation of differences computed as 6.0pounds.

a) The t test should be _______-tailed. (one or two)

b) The computed t statistic is _______.

c) There are _______ degrees of freedom for this test.

d) The critical value for a one-tailed test of the nullhypothesis of no difference at the α = 0.05 level of significanceis _______.

e) A one-tailed test of the null hypothesis of no differencewould _______ (be rejected/not be rejected) at the α = 0.05 levelof significance.

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