Fifty students are enrolled in an Economics class. After the first examination, a randomsample of five papers was selected. The grades were 60, 75, 80, 70, and 90. Assume the distributionof all the grades is normal. Provide an approximate 90% confidence interval for the mean grade of allthe students in the class.
Fifty students are enrolled in an Economics class. After the first examination, a randomsample of five...
Fifty students are enrolled in an Economics class. After the first examination, a random sample of five papers was selected. The grades were 60, 70, 75, 80, 90. a. Calculate the estimate of the standard error of the mean. b. What assumption must be made before we can determine an interval for the mean grade of all the students in the class? Explain why? c. Assume the assumption of part(b) is met. Provide a 90% confidence interval for the mean...
In a statistics class, the average grade on the final examination was 75 with a standard deviation of 5. a. At least what percentage of the students received grades between 50 and 100? Determine an interval for the grades that will be true for at least 70% of the students. b.
3. The histogram to the right shows the number of students in a math class with each grade. a. How many students are in the math class? b, which interval would have the grade 70%? . Which interval of grade was most common? d. Find the probability a random student chosen Student Grades ' 1叶 8 will be earning a B (80-90). 50 60 70 80 90 100 The teacher teaches a total of 120 students in all math classes....
In a chemistry class, the average grade on the final examination was 60 with a standard deviation of 4. Use Chebyshev's theorem to answer the following questions. a. At least what percentage of students received grades between 54 to 66? b. At least what percentage of students received grades between 52 to 68 hours? C. Determine an interval for the grades that will be true for at least 80% of the students. (Hint: First compute the Z-score.)
3. Exam grades across all students across all sections of an introductory statistics class are approximately normally distributed with a mean of 72 and a standard deviation of 11. Use the normal distribution to find answer the following questions. a. What percent of students scored above a 90%? b. What percent scored below 60%? c. If the lowest 5% of students will be required to attend an extra study session, what grade is the cutoff for being required to attend...
In the last 7 years, 500 students who have taken the Mathematics final exam have averaged 55 points and a variance of 225. By applying the normal distribution, the final grade of a selected student a) Find the probability that it is 60 or less. b) Find the probability that it is between 60 and 75. c) What is the grade with the probability of exceeding 3%? d) At 95% confidence level, find the confidence interval limits for the mass...
C++ Write a program that reads the number of students in the class, then reads each student's name and his/her test score. Print out each student name, test score and grade, and the average score of the whole class. The program must use vectors and loops for the implementation. The grades are determined as follows: A >= 90; 80 <= B < 90; 70 <= C < 80; 60 <= D < 70; F < 60.
The frequency distribution below indicates the numbers of students who earned grades (30s, 40s, etc.) on an exam If one of these students is randomly selected, what is the probability that he earned a grade that is NOT 59 or lower? Taly bars Class interval Frequency 30-39 2 40-49 3 50-59 11 60-69 20 70-79 32 HAI HA H 80-89 25 90-99 THI 7 N 100 Total 84/100 16/100 5/8 95/100 The frequency distribution below indicates the numbers of students...
The grades of a class of 9 students on a midterm report (x) and on the final examination (y) are shown below. Use the data to complete parts (a) and (b). x 75 55 72 71 82 94 96 99 68 D y 80 73 78 36 48 84 99 99 70 (a) Estimate the linear regression line. 9=0.0* (Round the constant to one decimal place as needed. Round the coefficient to three decimal places as needed.) (b) Estimate the...
For each exercise, assume that all variables are normally distributed, that the samples are independent, and that the population variances are equal. Also, for each exercise, perform the following steps: 1. State the hypotheses and identify the claim; 2. Find the critical value; 3. Compute the test value; 4. Make the decision to reject or not reject the null hypothesis; 5. Summarize the result. 1) Online, Hybrid, and Traditional Classrooms A researcher randomly selected six students from each of the...