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In a study of distances traveled by buses before the first major engine failure, a sample of 191 buses resulted in a mean of 96,700 miles and a standard deviation of 37,500 miles. At the 0.05 level of signıficance, test the manufacturer's claim that the mean distance traveled before a major engine failure is more than 90,000 miles.
1. Claim:
Ho:
Ha:
2. Level of Significance:
Test- statistic:
Tails in Distribution:
3. Reject Ho if:
4. Compute for the value of the test statistics.
5. Make a decision:
6. State the conclusion in terms of the original problem.
A router subjected to denial-of-service attack (DoS) will crash with probability of 95%. The router can also crash for other reasons with probability of 2%. DoS attacks occur with probability of 0.2. If the router crashes, what is the probability that the cause is not DoS?
Question 2 In each of the following situations, identify the scale(s) of measurement that is appropriate for each situation.
NOTE: Give a reason for each of your answer:
(i) A visiting school inspector asked a class teacher to rank the thirty students in her class on “level of discipline”, with 1 standing for the least disciplined student and 30 standing for the most disciplined student.
(ii) Identical twins living in different environments are being compared to find out the influence of the environment on their academic performance. A standard test on academic performance is giving to fifty (50) sets of identical twins and their performance graded over 100.
(iii) “Regular” students and students admitted under the distance learning programme into Accra Institute of Technology are administrated a questionnaire measuring “level of maturity” of the students, with scores on “level of maturity” ranging from 0 to 10.
Survey tests on seIf-concept and on leadership skill were administered to student-leaders. Both tests use a 10-point Likert scale with 10 indicating the highest scores for each test. Scores for students on the tests follow:
Student | A | B | C | D | E | F | G |
Self-
Concept | 7.1 | 5.6 | 6.8 | 7.8 | 8.3 | 5.4 | 6.3 |
Leader | 3.4 | 6.0 | 7.8 | 8.8 | 7.0 | 6.5 | 8.3 |
-ship Skill
1. Compute the coeficient of correlation r.
2. Interpret the results in terms of strength and direction of correlation.
3. Find the regression line that will predict the leadership skill if the self-concept score is known.
Survey tests on seIf-concept and on leadership skill were administered to student-leaders. Both tests use a 10-point Likert scale with 10 indicating the highest scores for each test. Scores for students on the tests follow:
Student | A | B | C | D | E | F | G |
Self-
Concept | 7.1 | 5.6 | 6.8 | 7.8 | 8.3 | 5.4 | 6.3 |
Leader | 3.4 | 6.0 | 7.8 | 8.8 | 7.0 | 6.5 | 8.3 |
-ship Skill
1. Compute the coeficient of correlation r.
2. Interpret the results in terms of strength and direction of correlation.
3. Find the regression line that will predict the leadership skill if the self-concept score is known.
A. Construct a scatterplot of the following bivariate data:
1.
Age of person, in years | 11 | 12 | 13 | 14 | 15 |
Weight (kg) | 40 | 42 | 38 | 45 | 51 |
2.
Age of car, in years | 11 | 12 | 13 | 14 | 15 |
Mileage, in km/liter | 40 | 42 | 38 | 45 | 51 |
B. Identify the dependent and independent variable in each of the following pairs of variables. Write your answer on the space provided
1. The base and the area of the triangle.
Independent Variable:
Dependent Variable:
2. Cost and age of car.
Independent Variable:
Dependent Variable:
3. The age and birth date.
Independent Variable:
Dependent Variable:
Survey tests on seIf-concept and on leadership skill were administered to student-leaders. Both tests use a 10-point Likert scale with 10 indicating the highest scores for each test. Scores for students on the tests follow:
Student | A | B | C | D | E | F | G |
Self-
Concept | 7.1 | 5.6 | 6.8 | 7.8 | 8.3 | 5.4 | 6.3 |
Leader | 3.4 | 6.0 | 7.8 | 8.8 | 7.0 | 6.5 | 8.3 |
-ship Skill
1. Compute the coeficient of correlation r.
2. Interpret the results in terms of strength and direction of correlation.
3. Find the regression line that will predict the leadership skill if the self-concept score is known.
A. Construct a scatterplot of the following bivariate data:
1.
Age of person, in years | 11 | 12 | 13 | 14 | 15 |
Weight (kg) | 40 | 42 | 38 | 45 | 51 |
2.
Age of car, in years | 11 | 12 | 13 | 14 | 15 |
Mileage, in km/liter | 40 | 42 | 38 | 45 | 51 |
B. Identify the dependent and independent variable in each of the following pairs of variables. Write your answer on the space provided
1. The base and the area of the triangle.
Independent Variable:
Dependent Variable:
2. Cost and age of car.
Independent Variable:
Dependent Variable:
3. The age and birth date.
Independent Variable:
Dependent Variable:
For a particular school year, the Registrar of a University wanted to know the proportion of students who are enrolled in the Sciences. The enrollment data showed a total enrollment of 6,534 students. Of this total, there were 4,286 enrolled in various Science courses. What do the numbers say about the course preferences of the students?
A. Find the proportions p and q for each of the following:
a. X = 135, n = 378
b. X = 234, n = 512
c. X = 256, n = 624
d. X = 314, n = 850
e. X = 450, n = 1260
1.Why is p regarded as an unbiased estimator of p?
2.Describe the sample distribution of p based on large samples of size n.
4.A certain barangay is planning to implement a "quit smoking" program. In preparation, a survey was conducted to a sample of 200 smoking individuals asking who would like to join the program. One hundred and eighteen (118) expressed willingness to join the program. What are the values of p and q?
5.A total of 200 Grade 8 students who have access to Internet services were asked if they play games online before they attend classes. Ninety-five (95) students responded yes. What is the population proportion of students who play video games before attending classes? What percent do not play video games before attending classes?
#339914 on Dec 2023