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A diet center claims that it has the most effective weight loss program in the region....

A diet center claims that it has the most effective weight loss program in the region. Its advertisements say, "Participants in our program lose more than 5 pounds within a month." Six clients of this program are 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.

Client Weight on First Day of Diet Weight One Month Later
1 155 171
2 186 190
3 174 165
4 201 182
5 163 153
6 157 130

Assuming that weight loss is normally distributed, calculate the value of the test statistic.

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