Anne claims that a store-brand fertilizer works better than homemade compost as a soil enhancement when growing tomatoes. To test her theory, she plants two tomato plants in each of five planters. One plant in each planter is grown in soil with storebrand fertilizer and the other plant is grown in soil with homemade compost, with the choice of soil determined at random. In three months, she will harvest and weigh the tomatoes from each plant. What is the correct confidence interval Anne should use to analyze these data

Paired t interval for μdiff

Step-by-step explanation:

The confidence interval suitable for analysing the data described in the scenario above is the paired t test which is employed when there are two different sets of measured reading or observation for each subject. In the scenario above, the subjects are of of the different planters employed whereby the pair of measurement are the weight of tomatoes obtained for each of the two different fertilizer types applied to each of the two plants in a planter. With these data, we can measure the difference in the effectiveness of each of the store brand and homegrown compost.

step-by-step explanation:

we have

using a graphing tool

see the attached figure

this is a quadratic equation (vertical parabola) open up

the vertex is a > vertex

the domain of the function is all real > interval (-∞,∞)

the range of the function is the > [-6.125,∞)

the function has two x->   and

the function is increasing over the > (0.25,∞)

the function is decreasing over the > (-∞,0.25)