Question

In: Statistics and Probability

The Examination results for selected samples of Quantitative methods students who took the course from three...

The Examination results for selected samples of Quantitative methods students who took the course from three different instructors (Lecturers) from three different satellite campuses are shown below;

Lecturer A

83

60

80

85

70

Lecturer B

90

55

84

91

85

Lecturer C

85

90

95

80

At α = 0.05, test to see if there is a significant difference among the averages of the three groups. Show the complete ANOVA table.

Expert Solution

The following table is obtained:

	Group 1	Group 2	Group 3
	83	90	85
	60	55	90
	80	84	90
	85	91	95
	70	85	80

Sum =	378	405	440
Average =	75.6	81	88
∑Xij²	29014	33687	38850
St. Dev. =	10.455	14.849	5.701
SS =	437.2	882	130
n =	5	5	5

Conclusion

It is concluded that the null hypothesis Ho is not rejected. Therefore, there is not enough evidence to claim that

there is a significant difference among the averages of the three groups at the α=0.05 significance level.

Using Excel we get output as

orchestra answered 2 years ago

In a survey of 625 random students who took Probability and Statistics course, 400 pointed to...

In a survey of 625 random students who took Probability and Statistics course, 400 pointed to Probability as the most enjoyable part of the course, the remaining 225 students chose Statistics as the most enjoyable part of the course. a) Find 90% confidence interval for the proportion of all students who preferred Probability. b) Find 95% confidence interval for the proportion of all students who preferred Statistics.

A survey of 36 randomly selected students who dropped a course was conducted at a college....

A survey of 36 randomly selected students who dropped a course was conducted at a college. The following results were collected. Complete parts (a) through (c). a) Construct a contingency table for the two variables. CourseCourse PersonalPersonal WorkWork Male FemaleFemale (b) Test whether gender is independent of drop reason at the alphaαequals=0.1 level of significance. What are the hypotheses? A. Upper H 0H0: pSubscript Upper CCequals=pSubscript Upper PPequals=pSubscript Upper WW Upper H 1H1: At least one of the proportions is...

Nine students took the SAT. After taking it, they then took a test preparation course and...

Nine students took the SAT. After taking it, they then took a test preparation course and retook the SAT. Can you conclude that the course changes performance on the SAT? (use α = .1)

A sample of 10 students was selected from a large statistics course. The grades of the...

A sample of 10 students was selected from a large statistics course. The grades of the 10 students on their test are shown below: 94 61 96 66 92 68 75 85 84 78 3a. Create a histogram, with the first class being 60-69. (3 pts) 3b. Calculate the following for the above data. Please only report the results. (8 pts) Mean = _____ Median = _____ Mode = _____ Range = ____ 3c. Calculate the standard deviation for the...

During the course of a semester, 10 students in Mr. Smith’s class took three exams. Use...

During the course of a semester, 10 students in Mr. Smith’s class took three exams. Use Microsoft®Excel® to compute all the descriptive statistics for the following set of three test scores over the course of a semester. Which test had the highest average score? Which test had the smallest amount of variability? How would you interpret the differences between exams, and note the range, means, and standard deviations over time? Test 1 Test 2 Test 3 90 94 95 65...

The following data are scores on a standardized statistics examination for independent random samples of students...

The following data are scores on a standardized statistics examination for independent random samples of students from two small liberal arts colleges. College A: 78, 84, 81, 78, 76, 83, 79, 75, 85, 81 College B: 89, 78, 83, 85, 87, 78, 85, 94, 88, 87 Calculate the sample variance (or standard deviation) for each college. For the test of homogeneity, Ho: σ²A = σ²B Ha: σ²A ≠ σ²B calculate the test statistic F'. For α = 0.05, specify the...

Researchers identified a number of new undergraduate students who said they suffered from “examination panic” and...

Researchers identified a number of new undergraduate students who said they suffered from “examination panic” and they felt they were not performing as well as they could on timed examinations. Researchers decided to conduct an experiment and randomly divided the students into three equal groups that would carry out a timed test as part of one of three treatment programs: one to undergo therapy sessions before the test day; the second to receive the tranquilizer just before the test; and...

You took independent random samples of 20 students at City College and 25 students at SF...

You took independent random samples of 20 students at City College and 25 students at SF State. You asked each student how many sodas they drank over the course of a year. The sample mean at City College was 80 and the sample standard deviation was 10. At State the sample mean was 90 and the sample standard deviation was 15. Use a subscript of c for City College and a subscript of s for State. Calculate a point estimate...

[1] A RESEARCHER DISCOVERED FROM A SAMPLE OF 750 STUDENTS WHO TOOK AN I.Q. TEST THAT...

[1] A RESEARCHER DISCOVERED FROM A SAMPLE OF 750 STUDENTS WHO TOOK AN I.Q. TEST THAT THE SAMPLE MEAN WAS 100 AND THE SAMPLE STANDARD DEVISTION WAS 15. [A] IF A STUDENT HAD AN I.Q. SCORE OF 110; BY WHAT PERCENTAGE IS HIS SCORE BETTER THEN ANYONE ELSE. [B] HOW MANY STUDENTS HAD I.Q. SCORES ABOVE 140. [C] WHAT IS THE PERCENTAGE OF STUDENTS THAT HAD I.Q. SCORES BETWEEN 90 AND 100. [D] WHERE WILL THE LOWEST I.Q. SCORE FALL....

Question 1 (20 marks) Simon Dlamini is enrolled for a course in quantitative methods at his...

Question 1 Simon Dlamini is enrolled for a course in quantitative methods at his home university. Simon lives on the Atlantic seaboard and loves surfing. Every swell is a good reason not to study – and as a result he is not performing too well in his course. The course is assessed via three assessments: a take home assignment (20%), a mid-term test (30%) and a final test (50%). He has already received his home assignment and mid-term test results...