Problem 1: 15 points Name the test statistics that you will use in each of the f
ID: 3322093 • Letter: P
Question
Problem 1: 15 points Name the test statistics that you will use in each of the following situations. t generated he average amount eo a) A researcher is conducting an experiment to compare t by two computer processors. He selected a sample of 12 computers with processor of type and another sample of 12 computers with processor of type 2. He measured the amount of heat generated by each computer processor The test to use is b) A statistics professor wants to see if the performance of his students has improved after the midterm. He selected a sample of 20 students and noted their grade in the midterm and in the final exams. The test to use is c) The traffic department claims that, in a three lanes highway, 20% of the drivers use the left lane, 50% use the middle lane and 30% use the right lane. To verify this, a researcher observed a sample of 500 drivers and noted on which lane they are driving. The test to use is d) An engineer wants to study the effect of catalyst and temperature on the yield of a chemical process. He carried a replicated experiment using all combination of three different catalysts and four different temperatures. When testing the equality of three or more population proportions The test to use is. e)Explanation / Answer
(a) There are two groups and the observations are not paired so use Independent T-test which is used to test the difference between two independent variables.
(b) Here professor is studying the mid term and final term grades of same set of students, thus observations are paired. Use Paired T test.
(c) Here they are testing groups to see if there’s a difference between them. So, use ANOVA.
(d)The Latin square design is used where the researcher desires to control the variation in an experiment that is related to rows and columns in the field.
(e) Use Anova or Hypothesis testing with Ho : p1=p2=p3 and Ha: not all proportions are equal