A diet center claims that it has the most effective weight loss program in the region. Its advertisement says, "Participants in our program really lose weight." Five clients of this program are weighed on the first day of the diet and then three months later.

| Client | Weight (First) | Weight (Later) |
|--------|---------------|----------------|
| 1 | 159 lbs | 163 lbs |
| 2 | 205 lbs | 209 lbs |
| 3 | 148 lbs | 146 lbs |
| 4 | 188 lbs | 191 lbs |
| 5 | 193 lbs | 190 lbs |

The mean or average of the later weights is 179.8 lbs. We can find the difference in means by subtracting the earlier mean from the later one:179.8 – 178.6 = 1.2 lbs

This means that, on average, participants in the program lost 1.2 pounds in three months. If we are to compare this to the advertisement of the diet center, it would seem that the participants of the program only lost a small amount of weight after undergoing the weight loss program.

What can be inferred from the data is that the effectiveness of the diet center’s program is not fully guaranteed. While the participants did lose weight, it was not significant enough to prove that the program is the most effective weight loss program in the region. Also, with a difference of only 1.2 pounds between the first weights and the later weights, the program may not have been effective for everyone who joined.

The mean or average of the later weights is 179.8 lbs.

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