To determine if there is a relationship between grade performance and extracurricular participation, North Carolina State conducted a study of 112 students, recording the number of students in each of three extracurricular categories, and each of two grade categories. Here are the results:Source: Felder, et al., "A Study of Student Performance in an Introductory Chemical Engineering Course," 1992 ASEE Annual Conference Proceedings, pp. 1516–1519.Which one of the following facts should make you the most worried about the reliability of the results of the test in this case? Two of the observed counts are less than 5. The 112 students were all students in a chemical engineering course and not a random sample from the entire student body. Not all of the cells' contributions to the chi-squared statistic are greater than 1. Two of the six expected counts are less than 5.
Question
To determine if there is a relationship between grade performance and extracurricular participation, North Carolina State conducted a study of 112 students, recording the number of students in each of three extracurricular categories, and each of two grade categories. Here are the results:Source: Felder, et al., "A Study of Student Performance in an Introductory Chemical Engineering Course," 1992 ASEE Annual Conference Proceedings, pp. 1516–1519.Which one of the following facts should make you the most worried about the reliability of the results of the test in this case? Two of the observed counts are less than 5. The 112 students were all students in a chemical engineering course and not a random sample from the entire student body. Not all of the cells' contributions to the chi-squared statistic are greater than 1. Two of the six expected counts are less than 5.
Solution
The fact that should make you most worried about the reliability of the results of the test in this case is that the 112 students were all students in a chemical engineering course and not a random sample from the entire student body. This is because the sample may not be representative of the entire student population, which could bias the results. The other issues mentioned could potentially affect the statistical power of the test, but they do not necessarily indicate a problem with the reliability of the results.
Similar Questions
To determine if there is a relationship between grade performance and extracurricular participation, North Carolina State conducted a study of 112 students, recording the number of students in each of three extracurricular categories and each of two grade categories. Here are the results:Source: Felder, et al., "A Study of Student Performance in an Introductory Chemical Engineering Course," 1992 ASEE Annual Conference Proceedings, pp. 1516–1519.The expected count of students with high extracurricular participation and good grades is the number of students that you would expect to see assuming that which of the following is correct? Check all that apply. The conditions that allow us to safely use the chi-squared procedure are met. Extracurricular participation and grade performance are related. Extracurricular participation and grade performance are independent. The null hypothesis of the chi-squared test for independence in this case is true.Question 6Select one answer.10 pointsIn a 2012 report from the U.S. Department of Education breaking down the race and gender of every U.S. college graduate receiving a bachelor's degree in 2009–2010, we see the following data for white, black, and Hispanic graduates. (Numbers are in 1000s.)GenderRace Males Females BothWhite (Expected) 514 (508.32) 654 (689.68) 1198Black (Expected) 56 (70.01) 109 (94.99) 165Hispanic (Expected) 55 (59.40) 85 (80.60) 140Total 625 848 1473Source: “Degrees Conferred by Sex and Race,” National Center for Education Statistics, U.S. Department of Education. https://nces.ed.gov/fastfacts/display.asp?id=72What is the chi-squared statistic for this data? 6.63 2.06 2.80 3.81
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in a class of 11 students, 3 students scored 100% marks in a test. other 7 students who passed secured 10,11,20,12,14,26 and 24 marks respectively
In a high school, students have the option to choose two elective courses: Photography and Music. All students in the Art Department are required to take both courses, while students from other departments can select one of the two options. Grades are given based on performance with A, B and C representing different levels of achievement and F for failure. Consider the following additional information about the number of students who took these courses this year and the grades they obtained:(i) The ratio of the number of non-Art Department students who chose Photography to that of those who chose Music was 3 : 4.(ii) The total number of non-Art Department students who took either Photography or Music was equal to the number of Art Department students.(iii) The number of non-Art Department students who failed in both Photography and Music courses was the same, and this total was equivalent to the number of Art Department students who received grade C in Music.(iv) Among the students who passed Music courses, 60% achieved grade B. However, while the numbers of students who received grades A and C were equal for Photography, the ratio for Music was 24 : 7.(v) No Art Department student failed in the Photography course, and no non-Art Department student received grade A in Photography.(vi) The ratio of the numbers of Art Department students who received grades A, B and C in Photography was 3 : 5 : 2, while for Music, the ratio was 4 : 5 : 1.(vii) The ratio of the total number of non-Art Department students failing in either of the two courses to the number of Art Department students failing in either of the two courses was 2 : 1.(viii) A total of 20 students failed in the Music course.Question No. 1What is the number of non-Art Music students who got grade C?8101416
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