MTH215 Summer 2017 Homework: HW10 Save Score: 0.27 of 4 pts 70f 10 (9 complete)

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MTH215 Summer 2017 Homework: HW10 Save Score: 0.27 of 4 pts 70f 10 (9 complete) Score: 34.84%, 10.1 of 29 pts 10.3.30-T Question Help A new weight-loss program claims that eight individuals before and after the program. Complete parts (a) through (e) below. nts will lose an average of more than 10 pounds after completing it. The accompanying data table shows the weights of Click the icon to view the data table. a. Perform a hypothesis test using 0 10 to determine if the average weight loss was more than 10 pounds for participants in the weight-loss program. Let 1 be the mean weight for the pa tic pants before the weight loss program and let 2 be the mean weight for the participants after the weight-loss program. State the null and alternative hypotheses. Choose the correct answer below H-10 Ho: -10 (where -1-2) c. H1 : -10 H: o 10 b. Calculate the appropriate test statistic and interpret the results of the hypothesis test using = 0.10. Enter your answer in th Clear All ct: TUTORS CHAT

Explanation / Answer

Solution of 10.3.30.T:

a) D) 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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