Question

Stat 50 Final Exam Last Name First Name 11. A study was conducted to investigate how effective a new diet was in lowering cholesterol. Results for the randomly selected subjects are shown in the table. The differences have a normal distribution. Are the subjects' cholesterol levels lower on average after the diet? Test at the 1% level. Subject |A |B |C |D |E |F |G |H Before 227 228 223 |216 234 227 |256 258 |240 After 197 205 187 207 215 201 209 221 299 Claim: Ho: Ha: Random Variable and Distribution: Calculator function (including what you entered) and Test Statistic: P value and Graph: Decision: Conclusion:

Answer 1

H0: The cholesterol levels not lower on average after the diet
H1: The cholesterol levels not lower on average after the diet
Let the los be alpha = 5%

From the given data

Before	After	Difference
227	197	30
228	205	23
223	187	36
216	207	9
234	215	19
227	201	26
256	209	47
258	221	37
240	299	-59

Critical t: 1.8595
P-Value: 0.0550
Here t value < t critical value and P-value > alpha 0.05 so we accept H0

Thus we conclude that the cholesterol levels not lower on average after the diet