Consider the following two sets of scores
X: 80, 70, 55, 63, 72
Y: 50, 52, 59, 60
Which of these sets of scores was more likely drawn from a population with the greater variance and why?
since sample variance is unbaised estimator of population variance and it is higher for data set X:
data set X is more likely drawn from a population with the greater variance
Consider the following two sets of scores X: 80, 70, 55, 63, 72 Y: 50, 52,...
The scores on a mathematics test were 70, 55, 61, 80, 85, 72, 65, 40, 74, 68, and 84. Complete the accompanying table, and use the table to construct a frequency histogram for these scores. (the tally column is optional) Score Tally Frequency 40-49 50-59 60-69 70-79 80-89 Use the data from problem above to answer the following questions. Find the mean. Find the median. Find the mode. In what circumstance is the median the best measure of center?
Questions: A) We asked 60 Students about their High School Average. B) 63 72 60 59 68 50 65 58 63 76 60 59 68 65 6960 72 55 53 58 67 54 52 63 65 53 68 53 58 67 69 54 55 66 68 55 61 57 71 58 55 61 80 58 62 65 55 78 60 59 82 78 55 53 57 56 58 60 69 57 C) Find: Frequency distribution Table . D) E) The...
Question 1 (30 marks) The scores of 60 students in a test are: 58 49 48 62 50 76 61 82 60 72 70 35 61 55 82 66 50 47 36 58 84 55 68 32 62 58 48 75 80 49 55 67 71 46 40 57 69 70 52 60 48 53 42 68 54 60 63 70 72 68 42 55 36 70 36 82 66 46 59 50 (i) Find the mean score of the...
Given two dependent random samples with the following results: Population 1 70 60 72 55 69 50 55 74 Population 2 72 56 81 50 79 60 50 78 Can it be concluded, from this data, that there is a significant difference between the two population means? Let d=(Population 1 entry)−(Population 2 entry). Use a significance level of α=0.1for the test. Assume that both populations are normally distributed. State the null and alternative hypotheses Find the value of the standard...
Problem 4: Variables that may affect Grades The data set contains a random sample of STAT 250 Final Exam Scores out of 80 points. For each individual sampled, the time (in hours per week) that the student spent participating in a GMU club or sport and working for pay outside of GMU was recorded. Values of 0 indicate the students either does not participate in a club or sport or does not work a job for pay. The goal of...
10) Given the data: 36 45 50 50 55 55 60 60 60 65 65 70 70 70 70 70 70 70 70 75 75 75 80 80 80 80 90 90 90 95 Assuming the population mean is 85, what is the probability of making greater than a 80 on the test, i.e. P(x > 80)
Problem 1: Confidence Interval for Percentage of B’s. The data set “STAT 250 Final Exam Scores” contains a random sample of 269 STAT 250 students’ final exam scores (maximum of 80) collected over the past two years. Answer the following questions using this data set. a) What proportion of students in our sample earned B’s on the final exam? A letter grade of B is obtained with a score of between 64 and 71 inclusive. Hint: You can do this...
Problem #1: Consider the below matrix A, which you can copy and paste directly into Matlab. The matrix contains 3 columns. The first column consists of Test #1 marks, the second column is Test # 2 marks, and the third column is final exam marks for a large linear algebra course. Each row represents a particular student.A = [36 45 75 81 59 73 77 73 73 65 72 78 65 55 83 73 57 78 84 31 60 83...
The following scores represent the final examination grades for an elementary statistics course: 23 60 79 32 57 74 52 70 82 36 80 77 81 95 41 65 92 85 55 76 52 10 64 75 78 25 80 98 81 67 41 71 83 54 64 72 88 62 74 43 60 78 89 76 84 48 84 90 15 79 34 67 17 82 69 74 63 80 85 61 Calculate: Stem and leaf Relative frequency histogram Cumulative frequency Sample Mean Sample Median Mode Variance Standard deviation
02 The following scores represent the final examination grades for an elementary statistics course: 23 60 79 32 57 74 52 70 82 36 80 77 81 95 41 65 92 85 55 76 52 10 64 75 78 25 80 98 81 67 41 71 83 54 64 72 88 62 74 43 60 78 89 76 84 48 84 90 15 79 34 67 17 82 69 74 63 80 85 61 Calculate: . Stem and leaf ....