Question

Problem #2: A weight-loss intervention is assigned to a group of 5 adults. Each adult is...

Problem #2: A weight-loss intervention is assigned to a group of 5 adults. Each adult is weighed before the intervention and after the intervention. The researcher wants to know if the intervention was successful. Use the data, significance chart, and hint section below to answer questions Questions a & b.

Participant

Before weight

After weight

Walter

180

168

Tom

175

164

Connie

140

130

Brock

200

179

Jennifer

150

152

a) Calculate the t-statistic: t = ______

b) Interpret the results:

  • The threshold to compare the statistic at = 0.05 is _______.

  • Is the difference between the groups significant or non-significant?

  • Therefore, we (circle one: reject / fail to reject) the null hypothesis, and conclude that

  • On average, the participants’ weight (choose one)

    • Significantly decreased after the intervention.

    • significantly increased after the intervention.

    • did not significantly decrease after the intervention.

    • did not significantly increase after the intervention.


Homework Answers

Answer #1

The statistical software output for this problem is:

Hence,

a) t statistic = 2.835

b) The threshold to compare the statistic at = 0.05 is 2.132

Is the difference between the groups significant or non-significant? Significant

Therefore, we reject the null hypothesis, and conclude that on average, the participants’ weight Significantly decreased after the intervention.

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