A study is conducted to assess the potential benefits of an ayurvedic treatment to reduce high cholesterol. Seven patients agree to participate in the study. Each has their cholesterol measured at the start of the study and then again after 4 weeks taking a popular herb called arjuna. Is there a significant difference in total cholesterol after taking the herb? Use the Sign Test at a 5% level of significance.

Participant

Total Cholesterol

Before Treatment

Total Cholesterol

After Treatment

1

250

241

2

265

260

3

240

253

4

233

230

5

255

224

6

275

227

7

241

232

Step 1. Set up hypotheses and determine level of significance.

H0: The median difference is zero

H1: The median difference is not zero .05

Step 2. Select the appropriate test statistic.

Participant

Total Cholesterol

Before Treatment

Total Cholesterol

After Treatment

Difference (Before-After )

Sign

1

250

241

2

265

260

3

240

253

4

233

230

5

255

224

6

275

227

7

241

232

Step 3. Set up decision rule.

Step 4. Compute the test statistic.

Step 5. Conclusion.