The following table shows the profile, by the math section of the SAT Reasoning Test, of admitted students at UCLA for the Fall 2014 semester. SAT Reasoning Test-Math Section 700-800 600-699 500-599 400-499 | 200-399 Total Admitted 8,398 3,517 1,410 358 9 13,692 Not admitted 13,119 6,714 1,652 56,447 16,599 18,363 24,997 21,880 14,529 Total applicants 7,072 1,661 70,139 Determine the probability of the following event. HINT [Example 6.] (Round your answer to two decimal places.) An applicant neither had a Math SAT of 500 or above nor was admitted.
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- A student organization surveyed both current students and recent graduates to obtain information on the quality of teaching at a particular university. An analysis of the responses provided the following teaching-ability rankings. Professor O Ho: Ps+0 H₂: Ps=0 O Ho: Ps ≤0 Ha: P >0 1 Ho: Ps > 0 H₂: Ps=0 2 Ho: Ps= 0 Ha: Ps * 0 3 4 5 6 7 9 10 Current Students 4 6 8 3 1 2 5 10 7 9 Recent Graduates 6 8 5 1 2 3 7 Do the rankings given by the current students agree with the rankings given by the recent graduates? Compute the rank correlation between current students and recent graduates. (Round your answer to three decimal places.) 9 Use α = 0.10 and test for a significant rank correlation. State the null and alternative hypotheses. O Ho: P₂ ZO Ha: Ps <0 10 4 Find the value of the test statistic. (Round your answer to two decimal places.) Find the p-value. (Round your answer to four decimal places.) p-value= What is your conclusion? O Reject Ho. There is not sufficient evidence to conclude…The University Secretary wants to determine how University grade point average,GPA (highest being 4.0) of a sample of students from the University depends on a student’s high school GPA (HS), age of a student (A), achievement test score (AS), average number of lectures skipped each week (S), gender of a student (where M=1 if a student is male or 0 otherwise), computer or PC ownership of a student (where PC=1 if a student owns a computer or 0 otherwise), the means of transport to school (drive, bicycle or walk; where D=1 if a student drives to campus or 0 otherwise, B=1 if a student bicycles to campus or 0 otherwise), and finally, the subject major of the student (finance, human resource, marketing and accounting; where F=1 if a student majors in finance or 0 otherwise, HR=1 if a student majors in human resource or 0 otherwise, MR=1 if a student majors in marketing or 0 otherwise). Use the correlation matrix and dummy regression output to answer the questions. GPA HS A AS…The following table shows the profile, by the math section of the SAT Reasoning Test, of admitted students at UCLA for the Fall 2014 semester. SAT Reasoning Test—Math Section 700–800 600–699 500–599 400–499 200–399 Total Admitted 8,398 3,517 1,410 358 9 13,692 Not admitted 16,599 18,363 13,119 6,714 1,652 56,447 Total applicants 24,997 21,880 14,529 7,072 1,661 70,139 Determine the probability of the following event. HINT [Example 6.] (Round your answer to two decimal places.) An applicant had a Math SAT below 500.
- The following test scores are for two classes that took the same test. (The highest possible score on the test was 60.) Class 1 (24 scores): 37, 45, 52, 55, 11, 55, 44, 55, 35, 25, 52, 42, 35, 21, 42, 52, 41, 40, 34, 51, 41, 41, 41, 41 Class 2 (25 scores): 50, 40, 40, 23, 40, 50, 31, 31, 40, 31, 31, 31, 53, 33, 33, 35, 55, 24, 39, 40, 41, 59, 41, 39, 46 Form a back-to-back stem and leaf plot with one stem. Put the leaves for one class on the right side of the stem and the leaves for the other class on the left side. Record the leaves in increasing order from the stem. Leaf (Class 1) Stem Leaf (Class 2) 4 3 1The University Secretary wants to determine how University grade point average, GPA (highest being 4.0) of a sample of students from the University depends on a student’s high school GPA (HS), age of a student (A), achievement test score (AS), average number of lectures skipped each week (S), gender of a student (where M=1 if a student is male or 0 otherwise), computer or PC ownership of a student (where PC=1 if a student owns a computer or 0 otherwise), the means of transport to school (drive, bicycle or walk; where D=1 if a student drives to campus or 0 otherwise, B=1 if a student bicycles to campus or 0 otherwise), and finally, the subject major of the student (finance, human resource, marketing and accounting; where F=1 if a student majors in finance or 0 otherwise, HR=1 if a student majors in human resource or 0 otherwise, MR=1 if a student majors in marketing or 0 otherwise). Use the correlation matrix and dummy regression output to answer the questions. GPA HS A…The results of IKEA's Annual Job Satisfaction Survey showed that 30% of employees are very satisfied with their job, 46% are satisfied, 20% are dissatisfied, and 4% are very dissatisfied. A sample of 50 managers yielded the following results: Category Very satisfied Satisfied Dissatisfied Very dissatisfied Number of Respondents 15 20 10 5 Test using a = 1% to determine whether the job satisfaction for employees is different from the job satisfaction for managers.
- The University Secretary wants to determine how University grade point average, GPA (highest being 4.0) of a sample of students from the University depends on a student’s high school GPA (HS), age of a student (A), achievement test score (AS), average number of lectures skipped each week (S), gender of a student (where M=1 if a student is male or 0 otherwise), computer or PC ownership of a student (where PC=1 if a student owns a computer or 0 otherwise), the means of transport to school (drive, bicycle or walk; where D=1 if a student drives to campus or 0 otherwise, B=1 if a student bicycles to campus or 0 otherwise), and finally, the subject major of the student (finance, human resource, marketing and accounting; where F=1 if a student majors in finance or 0 otherwise, HR=1 if a student majors in human resource or 0 otherwise, MR=1 if a student majors in marketing or 0 otherwise). Use the correlation matrix and dummy regression output to answer the questions. GPA HS A AS…A high school track coach wanted to test whether giving the students an energy drink could affect performance during the 100 meter race. The coach split the 26 boys into two equal sized groups, where Group 1 was given the energy drink and Group 2 was not. The 100 meter race times were recorded during practice and shown in the table below. What inference can be made about the results? Group 1 Group 2 12.2 13 12.5 12.3 13.3 12.8 12.9 13 13 13.8 12.1 13 13 13 13 13 12.1 13 13 13 12.1 13 12.8 13 13 12.6 Mean: 12.7 Mean: 13 Since the simulation shows ( many cases or free cases )? where a mean difference of ( solve for this answer ) or less occurred when the groups were re-randomized, it can be inferred that the mean difference observed in the study was ( very possibly or very unlikely ) ?due to the random assignment of participants into groups, so the results of the study are (…Random digit dialing telephone surveys used to exclude cell phone numbers. If the opinions of people who have only cell phones differ from those of people who have landline service, the poll results may not represent the entire adult population. The Pew Research Center interviewed separate random samples of cell-only and landline telephone users who were less than 30 years old. Here’s what the Pew survey found about how these people describe their political party affiliation. Do we reject, or fail to reject, the null hypothesis?
- Sixteen men and fourteen women in an Introductory Psychology class have taken their midterm exams. Their scores are listed here. (For gender, 1 = male and 2 = female). Student Gender Score Student Gender Score 1 1 85 16 2 89 2 1 53 17 2 73 3 2 92 18 2 91 4 1 70 19 1 76 5 1 76 20 1 75 6 1 93 21 2 89 7 1 90 22 2 71 8 2…The following test scores are for two classes that took the same test. (The highest possible score on the test was 60.) Class 1 (24 scores): 37, 46, 54, 55, 15, 55, 44, 55, 37, 26, 52, 44, 31, 23, 44, 52, 41, 41, 30, 50, 41, 41, 41, 41 Class 2 (25 scores): 50, 40, 40, 25, 40, 57, 31, 31, 40, 31, 33, 33, 57, 33, 34, 34, 57, 29, 34, 41, 41, 58, 41, 34, 45 Form a back-to-back stem and leaf plot with one stem. Put the leaves for one class on the right side of the stem and the leaves for the other class on the left side. Record the leaves in increasing order from the stem. Leaf (Class 1) Stem Leaf (Class 2) 3 2 1