Question

Hypothesis Test:

In a blinded crossover trial, a diet of almonds and its effect on LDL-C, a group with elevated LDL-C underwent diet of increased almond intake. LDL-C measured before and after almond diet. The following LDL-C measurements were made on the 11 subjects (mg/dL):

Subject #1: pre-almond- 140, post- 143

2: 159, 136      3: 157, 130

4: 152, 142

5: 155, 131

6: 152, 144

7: 158, 116

8: 155, 136

9: 146, 130

10: 153, 125

11: 141, 138

Is there a significant mean difference between their LDL-C pre-almond and post-almond diet? Use the p-value method.

Answer 1

H0: There is no significance difference between the means of the LDL-C Pre-almond and Post-almond diet

H1: There is significance difference between the means of the LDL-C Pre-almond and Post-almond diet

Let the los be alpha = 5%

From the given data

Pre-almond	post	Difference
140	143	-3
159	136	23
157	130	27
152	142	10
155	131	24
152	144	8
158	116	42
155	136	19
146	130	16
153	125	28
141	138	3

P-Value: 0.0010

Since P-value < alpha 0.05 so we reject H0

Thus we conclude that there is significance difference between the means of the LDL-C Pre-almond and Post-almond diet