A graduate student is registering for 3 courses in one semester. X=the number of courses that are full at the time of registration.  The random variable X has a probability distribution as follows x 0 1 2 3 p(x) 0.55 0.25 0.15 0.05 The probability that one or fewer of the classes are full at the time of registration [P(X

Select the correct definition of p-value

4 students apply to a PhD program. The program accepts 70% of all applicants. Students are accepted and rejected independently of each other. Let the random variable X represent the number out of the 4 students who get accepted from the PhD Program. (Hint: Binomial distribution with n=4 and p=70%)   What is the mean of the random variable? (round your answer to 4 decimal places)

To compare the treatment effects of two interventions, two independent samples of patient medical data were collected. The sample sizes are 20 and 22 respectively. Assuming that the two populations shared the same variance, the researchers decided to conduct a two independent samples test for the means. What would be the number of degrees of freedom for the obtained t statistic with these sample sizes?

Suppose you wish to determine if students in the College of Public Health have higher GPAs than that of students in the college of Medicine at USF.  If you have a group of 100 students and randomly assign which college each student should enroll in and track their academic progress until they graduate, then compare their GPA’s what kind of study was conducted?

The Central Limit Theorem is important in Statistics because it allows us to use the normal distribution to make inferences concerning the population mean:

Select the appropriate null and alternative hypothesis for the following research question: Do people enjoy playing video games less than playing sports? phat1 = proportion of people who enjoy playing video games more than sports phat2 = proportion of people who enjoy playing sports more than video games

Suppose you wish to compare the mean GPA of students in the College of Public Health to the mean GPA of students in the college of Medicine at USF.  If you have a list of all the students the fit into your population of interest and randomly select 100 students to be apart of your study, what type of sampling are you doing?

Using the following information select the appropriate interpretation for the correlation coefficient: Variables being compared are age in years and annual salary. r = +0.12

Conduct a hypothesis test based on the following information using a significance level of 1%: Research Question: Are people running less than 20.72 miles per week? Population standard deviation was NOT KNOWN Test statistic = -1.79 Sample size = 31