The P-value for a test of versus  is 0.227. Which of thefollowing is the correct interpretation of this P-value?
a. The probability that  is 0.227.

b. Given that the true mean difference (Variety A – Variety B) in yield for these two varieties of tomato plants is 0, the probability of getting a sample mean difference of 0.34 is 0.227.

c. Given that the true mean difference (Variety A – Variety B) in yield for these two varieties of tomato plants is 0, the probability of getting a sample mean difference of 0.34 or greater is 0.227.

d. Given that the true mean difference (Variety A – Variety B) in yield for these two varieties of tomato plants is 0, the probability of getting a sample mean difference greater than or equal to 0.34 or less than or equal to  is 0.227.

e. Given that the true mean difference (Variety A – Variety B) in yield for these two varieties of tomato plants is not 0, the probability of getting a sample mean difference greater than or equal to 0.34 or less than or equal to  is 0.227.

Researchers suspect that Variety A tomato plants have a different average yield than Variety B tomato plants. To find out, researchers randomly select 10 Variety A and 10 Variety B tomato plants. Then the researchers divide in half each of 10 small plots of land in different locations. For each plot, a coin toss determines which half of the plot gets a Variety A plant; a Variety B plant goes in the other half. After harvest, they compare the yield in pounds for the plants at each location. The 10 differences (Variety A − Variety B) in yield are recorded. A graph of the differences looks roughly symmetric and single-peaked with no outliers. The mean difference is  and the standarddeviation of the differences is . Let = the true mean difference (Variety A − Variety B)in yield for tomato plants of these two varieties.

Select the best answer.

Transcribed Image Text:

305 0.200 = 20.0% Ho: HA-B = 0 %3D 1526