Diet Programs
a Consumer Research Organization Will Evaluate the Results

question 9

Essay

Diet programs
A consumer research organization will evaluate the results of two diet programs,Take-It-Off and Melt-Away.Persons are randomly sampled from each of the programs and their weight loss results follow. $$\begin{array} { | c | c | } \hline \text { Take-It- Off } & \text { Melt-Away } \\\hline 150 & 130 \\75 & 68 \\40 & 20 \\68 & 54 \\30 & 27 \\& 98 \\\hline\end{array}$$
-Use the Wilcoxon rank sum test on the data below to determine at the 10% significance level whether the two population medians differ. $$\begin{array} { l l l l l l l l l l l } \text { Sample 1: } & 32 & 22 & 19 & 29 & 20 & 34 & 25 & 9 & 28 & 17 \\\text { Sample 2: } & 29 & 20 & 18 & 27 & 19 & 23 & 19 & 12 & 22 & 10\end{array}$$ H₀: ____________________
H₁: ____________________
Test statistic = ____________________
Rejection region = ____________________
If necessary,separate your answers with commas,for example x,y,z,etc.
Conclusion: _____________________________
Interpretation: _______________________________________________________

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Definitions:

Resamples

The process of drawing repeated samples from a set of data with the aim of estimating a population parameter.

Bootstrap Estimate

A method of statistical inference where sampling distributions of statistics are estimated by sampling with replacement from the original dataset.

Trimmed Mean

A method of averaging that involves removing a specified percentage of the smallest and largest values before calculating the mean.

Bootstrap Distribution

A sampling distribution estimated by resampling with replacement from an observed dataset, typically used to estimate the variability of a statistic.