claims that it has the most effective weight loss program in the region. Its adv
ID: 3207842 • Letter: C
Question
claims that it has the most effective weight loss program in the region. Its advertisements say, Participants in our program lose more than 3 pounds within a month." Six clients this weighed on the first day of the diet and then one month later Let the difference be defined as Weight on First Day of Diet minus Weight One Month Later. Use Table 2. Weight on First Weight One Client Day of Diet Month Later 168 180 241 251 186 180 190 212 162 172 147 158 Click here for the Excel Data File Let the difference be defined as Before -After a. Specify the null and alternative hypotheses that test the diet center's claim. 3: HA: UD 3 3 Ho: HD 23: HA: UD Ho: HD s 3: HA: HD 3 b. Assuming that weight loss is normally distributed, calculate the value of the test statistic. (Round all intermediate calculations to at least 4 decimal places and final answer to 2 decimal places.) Test statistic c. Approximate the p-value. 0.100 p-value 0.200 0.010 p-value 0.025Explanation / Answer
a. Hypotheses:
H0:mud<=3 (mean weight loss due to the diet program is atmost 3 pounds within a month)
H1:mud>3 (mean weight loss due to the diet program is more than 3 pounds within a month)
Ans>option 3.
b. Using given information, dbar=11.83 (dbar=sigma d/n, where d denotes difference in weight before the diet and after the diet), sd=5.38 [sd=sqrt{1/n-1 sigma (d-dbar)^2}, where, n denotes number of pairs].
Use paired t test.
t=(dbar-3)/(sd/sqrt n)
=(11.83-3)/(5.38/sqrt 6)
=4.02 (ans)
c. Look into the t table, and locate the t test statistic for 5 degrees of freedom (df=n-1).
The p value is approximated as option 3.
d. Reject H0, if p value is less than alpha=0.05. Here, p value is less than 0.05, therefore, reject H0, and the claim is supported. Option 4.
Related Questions
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.