(Solved by Humans)-A study is conducted to assess the potential benefits of an
Question
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.
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