The following data represent the final exam scores of 18 male students and 18 female students....

The following data represent the final exam scores of 18 male students and 18 female students.

Male: 68, 68, 72, 73, 65, 74, 73, 72, 68, 65, 73, 66, 71, 68, 74, 66, 71, 65

Female: 59, 75, 70, 56, 66, 75, 68, 75, 62, 60, 73, 61, 75, 74, 58, 60, 73, 58

Is there any significant difference between the average exam scores of male and female students? Explain your answer using both confidence interval method and hypothesis test method.

Expert Solution

Let X1 : Score of male student

X2 : Score of female student

where X1bar = 1252/18 = 69.56

X2bar = 1198/18 =66.56

orchestra answered 2 years ago

An investigator collected data on midterm exam scores and final exam scores of elementary school students;...

An investigator collected data on midterm exam scores and final exam scores of elementary school students; results can summarized as follows. Average SD -------------------------------------------------- Boys' midterm score 70 20 Boys' final score 65 23 girls' midterm score 75 20 girls' final score 80 23 The correlation coefficient between midterm score and final score for the boys was about 0.70; for the girls, it was about the same. If you take the boys and the girls together, the correlation between midterm...

The data below are the final exam scores of 5 randomly selected calculus students and the...

The data below are the final exam scores of 5 randomly selected calculus students and the number of hours they slept the night before the exam. Hours, x 4 6 3 9 3 Scores, y 74 89 69 90 75 a) Draw scatterplot for the data. b) Calculate the linear correlation coefficient to 3 decimal places. (if you are unable to calculate the linear correlation coefficient, use .9 for part c,d and e) c) Is there a linear relationship between...

The data below are the final exam scores of 10 randomly selected calculus students and the...

The data below are the final exam scores of 10 randomly selected calculus students and the number of hours they slept the night before the exam: Hours Slept (x) 7 11 6 13 7 8 8 11 12 9 Exam Scores (y) 68 83 63 91 69 81 88 93 93 74 Using the equation of the regression line, with all numbers in it rounded to 2 decimal places, predict the final exam score of a student who slept for...

The scores 30 students earned on the Calculus I final exam are listed in the data...

The scores 30 students earned on the Calculus I final exam are listed in the data set below (in percentage). examscores=c(95,68,65,50,82, 85,91,83,70,67, 68,65,52,39,48, 75,65,70,68,65, 69,71,68,73,78, 80,51,65,64,87) Include your R commands and output for each part of the problem. a) Create a stem and leaf plot for this data. b) Comment on at least three features of the distribution using statistical terminology. c) One of the data values is 39%. Would that value be considered unusual? Show work to justify your...

The following are final exam scores for 30 students in an elementary statistics class.

The following are final exam scores for 30 students in an elementary statistics class. 91 59 82 91 79 76 90 69 77 83 59 88 95 72 88 81 77 52 80 96 62 97 76 75 75 89 61 72 90 85 a. Find the quartiles for this data______________________________. b. What is the Interquartile Range (IQR)_________________________? c. What percent of students got at least a 72 on their final exam______________? d. Build a boxplot using the graphing calculator.

Three independent group students took an exam. The data presented below represent the students’ test scores....

Three independent group students took an exam. The data presented below represent the students’ test scores. Group 1 Group 2 Group 3 95 79 65 98 76 68 80 60 70 77 88 87 99 69 66 90 66 72 Based on the post hoc (Tukey) test, which two groups have a significant difference at the 0.05 level ? a. group 1 and group 2 b. group 1 and group 3 c. group 2 and group 3 d. both a...

Below are the final exam scores of 20 Introductory Statistics students.

Below are the final exam scores of 20 Introductory Statistics students. Student 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 Score 71 76 77 77 79 80 80 80 81 81 84 84 85 86 86 86 86 87 89 93 The mean exam score is 82.4 with a standard deviation of 5.14. 1. How many of the exam scores in the sample are within one standard deviation...

These are the scores of 40 students in MAT that took the Final Exam. Perform the...

These are the scores of 40 students in MAT that took the Final Exam. Perform the computations asked below with this set of data: 88 91 50 65 46 99 72 82 66 75 70 58 86 83 68 82 59 98 64 82 99 58 20 63 64 39 81 89 96 101 83 56 93 84 70 22 105 81 102 77 1. What is the class mean of the test scores? Round to the nearest whole number....

A sample of 10 students record their scores on the final exam for their statistics class....

A sample of 10 students record their scores on the final exam for their statistics class. The mean of the sample is 81 with sample standard deviation 7 points. Analysis of the 10 sample values indicated that the population is approximately normal. We wish to find the 95% confidence interval for the population mean test scores. 1. What is the confidence level, c? 2. Which of the following is correct? a. To find the confidence interval, a z-critical value should...

In an introductory statistics class, there are 18 male and 22 female students. Two students are...

In an introductory statistics class, there are 18 male and 22 female students. Two students are randomly selected (without replacement). (a) Find the probability that the first is female (b) Find the probability that the first is female and the second is male. (c) Find the probability that at least one is female --------------- I know that this question has to use the counting method, but i got confuse with how to start because i have to now find the...

Question