An agricultural field trial compares the yield of two varieties of tomatoes for commercial use. The researchers divide in half each of 10 small plots of land in different locations and plant each tomato variety on one half of each plot. After harvest, they compare the yields in pounds per plant at each location. The 10 differences (Variety A – Variety B) give and . Is there convincing evidence that Variety A has the higher mean yield?
a) Describe what the parameter ì is in this setting.
b) State H0 and Ha.
c) Find the appropriate test statistic and P-value. What do you conclude? (Do not just say accept or reject H0. Say what you mean in context.)
I'll give you some hints to get started, then let you take it from there.
You may be able to use a two-sample independent groups t-test for your data.
Ho: µA = µB (A = Variety A; B = Variety B)
Ha: µA > µB
The P-value is the actual level of the test statistic. Once you calculate the observed t-value from the formula, you can then determine the p-value using a t-table.
Remember that a test is only statistically significant if the null hypothesis (Ho) is rejected.
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