What test is to be used considering variables and direction? Why is this the correct test? State null and alternative hypothesis. What is your test statistic and critical value based on alpha. Perform the test showing all work.Reject or do not reject the null based on results using proper stats language.

A biologist is developing a vaccine and wants to know whether this vaccination results in higher white blood cell counts in college students aged 18-22. Twenty students were randomly selected from colleges across the US to participate in the study. Half of these patients were randomly assigned a placebo treatment and half were administered a vaccine shot. Five days later, blood was collected from the patients and the biologist measured the number of white blood cells per nanoliter of blood, shown in the table below. For these data, the test of normality had p > 0.05 and the F test for unequal variances had p = 0.02. Perform the appropriate test to determine whether white blood cell counts were greater aer the vaccine when compared to after the placebo. Use an o. = 0.05