A new weight-loss program claims that participants will lose an average of more

Question

A new weight-loss program claims that participants will lose an average of more than 10 pounds after completing it. The accompanying data table shows the weight of eight individuals before and after the program. Complete parts (a) through (c) below. Click the icon to view the data table. a. Perform a hypothesis test using a = 0.10 to determine if the average weight loss was more than 10 pounds for participants after the weight-loss program. Let mu_1 be the mean weight for the participants before the weight-loss program and let mu_2 be the mean weight for the participants after the weight-loss program. State the null and alternative hypotheses. Choose the correct answer below. SmallCircle A. H_0: mu notequalto 10 (where mu_d = mu_1 - mu_2) H_1: mu_d = 10 SmallCircle B. H_0: mu_d 10 SmallCircle D. H_0: mu_d = 10 (where mu_d

Explanation / Answer

a) C) H1 is to check if average weigh loss was more than 10 punds.

b) The appropriate test statistic is paired t test (paired data collection, randomization, independence assumption and nearly normal condition are reasonably met)

From information given,

dbar=12.88, sd=8.06, n=8 pairs.

SE(dbar)=sd/sqrt n=8.06/sqrt 8=2.85

t7=(dbar-0)/SE(dbar)

=12.88/2.85

=4.52

At df=7, and alpha=0.101, the critical t is 1.415.

The test statistic falls in critical regin. Therefore, reject null hypothesis to cocncludde that average weight loss was more than 10 pounds for participants in weight loss program.

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