30 randomly selected statistics students were first given 20 multiple-choice questions and then 20 open-ended questions – all on the same material. The lecturer was interested in determining which type of questions the students scored higher, on average. This experiment is an example of ______. a. a test of variances b. a two sample test of means c. a paired t test d. a two sample test of proportions

In an experiment to determine the best method by which to assess college students, a group of students were exposed to one of three types of tests. The three methods were: all multiple choice questions, all free-response questions, and a mix of question types (both multiple choice and free-response questions). The scores were recorded for each test taken. Fifteen students were used in the study, and grouped by class level (freshman, sophomore, junior, senior, and graduate). The following tables provide the results of the experiment.Class Level Multiple Choice Free-Response MixedFreshman 78 84 90Sophomore 82 90 95Junior 90 94 98Senior 88 96 100Graduate 95 98 99Below is the ANOVA table.ANOVA Source of Variation SS df MS F P-value F critClass Level 337.0667 4 84.2667 22.0786 0.000222 3.8379Testing Method 242.8 2 121.4 31.8079 0.000156 4.4590Error 30.5333 8 3.8167 Total 610.4 14  What would you tell the researchers about their results?Group of answer choicesAt the 0.01 level of significance, there is a significant difference among testing methods, and blocking, based on Class Level was useful in the analysis.At the 0.01 level of significance, there is a significant difference among testing methods, but blocking, based on Class Level was NOT useful in the analysis.These results reveal no significant differences.Graduate Students score significantly better than Freshman, regardless of the testing method.

0:35:59Question 18Not yet answeredMarked out of 6.00Flag questionTipsQUESTION 3PART 1A student is taking a multiple choice test consisting of five questions, each with four options for each question. The student selects the answers at random.a) What is the probability that the student will get at least one question correct?b) Calculate the expected number of questions correct.PART 2A sample of 100 people is selected for a survey, among the questions asked was"Do you like Statistics?" and "Do you live in Wollongong?". Of the 100 people,  80 said they like Statistics, 53 people said they like Statistics and also live in Wollongong(at the same time), 15 people said they don't like Statistics and also don't live in Wollongong (at the same time).a) Find the following probability, P(Likes Statistics | Live in Wollongong)b) Are the events "Likes Statistics" and "Lives in Wollongong" statistically independent?Show your working by typing your answer in the text box below.

We wish to test the null hypothesis that students who do not know the answer guess at random on a particular multiple choice item. For the 4 incorrect alternatives, the choices for a random sample of 24 students were (1) 3; (2) 9; (3) 2; (4) 10. The expected frequency for alternative (2) is

A student did not study and has to guess on each question of a 20 question multiple choice test.  There are four answer choices for each question.

A student is taking a multiple choice test consisting of five questions, each with four options for each question. The student selects the answers at random.a) What is the probability that the student will get at least one question correct?b) Calculate the expected number of questions correct.