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 milligrams per deciliter 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 distributed. At α=0.05, can you conclude that the new cereal lowers total blood cholesterol levels?
PatientPatient 
1 
2 
3 
4 
5 
6 
7 


Total Blood Cholesterol (Before) 
210 
225 
235 
250 
240 
260 
235 

Total Blood Cholesterol (After) 
200 
224 
240 
245 
239 
258 
234 
calculate the test statistic
find the P value
(fail to reject / reject) H0. There ( is / is not) sufficient evidence to support the claim that the new cereal lowers total blood cholesterol levels.
To Test :
H0 :
H1 :
Number  Before  After  Difference  
210  200  10  61.7346939  
225  224  1  1.30612245  
235  240  5  51.0204082  
250  245  5  8.16326531  
240  239  1  1.30612245  
260  258  2  0.02040816  
235  234  1  1.30612245  
Total  1655  1640  15  124.857143 
Test Statistic :
t = 1.2428
Test Criteria :
Reject null hypothesis if
Result : Fail to reject null hypothesis
Decision based on P value
P  value = P ( t > 1.5251 ) = 0.1337
Reject null hypothesis if P value <
level of significance
P  value = 0.1337 > 0.05 ,hence we fail to reject null
hypothesis
Conclusion : Fail to reject null hypothesis
There is insufficient evidence to support the claim that the new cereal lowers total blood cholesterol levels at 5% level of significance.
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