Question

5. A food manufacturer claims that eating its new cereal as part of a daily diet lowers total blood cholesterol levels. The table shows the total blood cholesterol levels in ligams per dediler of blood of seven patients before eating the cereal and after one year of eating the cereal as part of their diets. Use technology to test the mean difference. Assume the samples are random and dependent, and the population is normally dried Ala-005, can you conclude that the new cereal lowers total blood cholesterol levels ? Patient 1 2 3 4 5 6 Total Llood Cholestered for 215 245 270 235 Total Blood Cholesterol (Alter) 200 220 241 232 Let the blood cholesterol level before eating the cereal be population 1. Let the blood cholesterol level after eating the cereale population 2 Identify the null and eative hypotheses, where Choose the correct below OAH 0 HA 70 OCH HO OB. Hy 20 HA OD. H 50 HA Calculate the standardized test statistic (Round to the decimal places as needed) Calculate the value P-value (Round to four decimal places as needed) State the conclusion (1) There 2 sufficient evidence to support the daim that the new creat lowers total blood cholesterol levels (1 (2) O is not O Red Fail tored

Answer 1

Using Excel, go to Data, select Data Analysis, choose t-Test: Paired Two Sample for Means.

	Before	After
Mean	245.714	234.000
Variance	303.571	374.667
Observations	7	7
Pearson Correlation	0.724
Hypothesized Mean Difference	0
df	6
t Stat	2.249
P(T<=t) one-tail	0.0328
t Critical one-tail	1.943
P(T<=t) two-tail	0.0655
t Critical two-tail	2.447

H₀: μ_d< 0

H_a: μ_d > 0 (Option D)

t = 2.249

p-value (one-tail) = 0.0328

Fail to reject H₀. There is not sufficient evidence.