An agricultural experiment has been designed to compare melon weights between two different varieties (A vs. B). Suppose the data have been summarized as follows: Variety A Variety B
Mean 5.30 kg 7.18 kg
SD 1.2 kg .96 kg
n 12 9
Assuming that the population variances are unequal, test the claim that there is no difference between in mean weight using the 0.05 significance level. To do so, answer each of the following questions.
1. What is the null hypothesis? What is the alternative hypothesis?
1b. What is the value of the test statistic you should use to test the given hypothesis? p value?
1c. If you were instead told to assume that the population variances are equal, what value would you use for the denominator of the test statistic, i. e. the standard error of your relevant statistic?
1d. What conclusion should you make based on the given data?