Grain is fortified with vitamins at the factory when processed. But, before the product reaches the consumer, some of the vitamins may degrade due to time, heat during storage, etc. Suppose the vitamin contents (in milligrams per pound) of five bags of grain are measured at the factory before shipping, and then again at the retail store after shipping. The results are as shown:
We wish to test whether there is a statistically significant decrease in vitamin content after shipping.
Question 3
Select one answer.
10 pointsGiven the design of the study and the question of interest, which of the following 4 computer outputs is relevant to use?
(a)
(b)
(c)
(d)
What results?
It is A, I just did the problem for STATS, a paired t-test and CI before and after shipping 95% CI with lower bound for mean difference
In order to test whether there is a significant decrease in vitamin content after shipping, we need to compare the vitamin contents measured at the factory before shipping with the vitamin contents measured at the retail store after shipping.
Out of the four computer outputs provided, the relevant one to use in this case would be the "paired t-test" or "paired samples t-test" (option c) because it allows us to compare the means of two related samples (in this case the vitamin contents before and after shipping). The paired t-test is appropriate when we have repeated measures on the same subjects or objects. This test can help us determine if there is a significant difference in the means of the paired samples, indicating whether there is a significant decrease in vitamin content after shipping.