7. A nutritionist wants to determine whether people whoregularly drink one protein shake per day have differentcholesterol levels than people in general. In the generalpopulation, cholesterol is normally distributed with ? = 190 and ?= 30. A person followed the protein shake regimen for two monthsand his cholesterol is 155. Use the 1% significance level to testthe nutritionist’s idea.
- Use the five steps of hypothesis testing. Explicitly label eachof these five steps.
- Draw a curve and label the cutoff(s), rejection region(s), andsample’s score.
- Provide an interpretation of the finding.
Interpretation: One sentenceconclusion of the hypothesis test that should be free ofstatistical jargon
8. A forensic psychologist studying a new type of polygraph (liedetector) test. On average, the older polygraph test is 75%accurate, with a standard deviation of 6.5%. With the new polygraphtest, the operator correctly identified 83.5% of the falseresponses. Using the .05 level of significance, is the accuracy ofthe new polygraph better from the older one?
(a) Use the five steps of hypothesis testing. Explicitly labeleach of these five steps.
(b) Draw a curve and label the cutoff(s), rejection region(s),and sample’s score.
(c) Provide an interpretation of the finding.
Interpretation: One sentenceconclusion of the hypothesis test that should be free ofstatistical jargon
