MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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- Mike Jimenez is president of the teachers’ union for Preston School District. In preparing for upcoming negotiations, he would like to investigate the salary structure of classroom teachers in the district. He believes there are three factors that affect a teacher’s salary: years of experience, a rating of teaching effectiveness given by the principal, and whether the teacher has a master’s degree (0 = No, 1 = Yes). A random sample of 20 teachers resulted in the following data. Salary ($ Thousands) Years of Experience Principal's Rating Master's Degree 51.1 8 95 0 43.6 5 84 0 39.3 2 100 1 53 15 51 1 48.6 11 53 0 55 14 81 1 52 9 85 0 46.8 7 52 1 58.6 22 68 1 41.7 3 97 1 35.7 1 83 0 40.6 5 71 0 61.8 23 77 1 46.7 17 61 0 48.4 12 83 1 43.6 14 71 0 51.8 8 59 1 40.7 4 93 0 42.8 2 58 1 42.9 8 90 0 g. What does the value of the Coefficient of Determination tell you about the data? h. Run a diagnosis to deterime if the model is…arrow_forward2. A researcher wants to investigate if people belonging to different income groups are homogeneous in their attitude regarding playing the lottery. A sample of 600 people from the low-income group, another sample of 500 people from the middle-income group, and a third sample of 400 people from the high-income group. The result of the survey is recorded in the table below. Attitude Pay often Play sometimes Never play Low 170 290 140 Income Group Middle 160 220 120 High 90 120 190 Using a significance level of a = 0.05, can you reject the null hypothesis that the percentages of people who play the lottery often, sometimes, and never are the same for each income group?arrow_forward3. In a certain research, some astrologists have speculated that people born under certain sun signs are more extroverted than people under other signs. The Eysenck Personality Inventory (EPI) was used to measure extroversion and neuroticism. The following data as follows: Sample Size Extroversion Neuroticism Sun Sign N SD SD Water Signs Other Signs Winter Signs Summer Signs 13.57 5.25 5.34 78 12.80 4.63 199 13.67 5.18 13.43 82 12.58 5.34 12.97 5.22 5.03 53 15.78 4.84 15.45 Is there sufficient evidence to indicate that those born under water signs have a lower mean extroversion score than those born under other (non-water) signs? 3.1. Use a level of 0.01 test. Но: На: Level of Significance: Statistical Test: Classification of Test: Degree of Freedom: Critical/Tabular Value: Computed Value:arrow_forward
- 4. Source: the federalist.com "According to a new Gallup poll released Wednesday [3/25/20], the media was the only institution that scored a negative approval rating among the public with only 44 percent of Americans approving of the way the media has covered the [Corona]virus. The poll was conducted March 13-22 and surveyed a random sample of 1,020 adults through telephone interviews aged 18 and older in each state and the District of Columbia." Calculate and interpret a 99% confidence interval for the true proportion of all Americans who approve of the way the media has covered the virus.arrow_forwardTwelfth grade examination results. The Central Board of Secondary Education (CBSE) is a national level board of education in India for public and private schools, con- trolled and managed by the Government of India. CBSE reports that there is an improvement in the overall twelfth grade (class 12) examination results in 2020 compared to 2019. The 2020 results show that 88.78% of students passed the exams and about 15% of students scored 90% or above. Consider a random sample of exam results from 10 twelfth grade students in 2020. a. What is the probability that more than half have passed the exams? b. What is the probability that more than half those who passed the exams scored 90% or above?arrow_forwardMike Jimenez is president of the teachers’ union for Preston School District. In preparing for upcoming negotiations, he would like to investigate the salary structure of classroom teachers in the district. He believes there are three factors that affect a teacher’s salary: years of experience, a rating of teaching effectiveness given by the principal, and whether the teacher has a master’s degree (0 = No, 1 = Yes). A random sample of 20 teachers resulted in the following data. Salary ($ Thousands) Years of Experience Principal's Rating Master's Degree 51.1 8 95 0 43.6 5 84 0 39.3 2 100 1 53 15 51 1 48.6 11 53 0 55 14 81 1 52 9 85 0 46.8 7 52 1 58.6 22 68 1 41.7 3 97 1 35.7 1 83 0 40.6 5 71 0 61.8 23 77 1 46.7 17 61 0 48.4 12 83 1 43.6 14 71 0 51.8 8 59 1 40.7 4 93 0 42.8 2 58 1 42.9 8 90 0 a. What is the question being asked? b. Label your dependent variable: y = c. Label your independent variables: x1 = x2 = x3 = d.…arrow_forward
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- determine the degrees of freedom if necessaryarrow_forward1. Write a complete paragraph in APA format describing the research question and your results. Question: A social psychologist records the number of outbursts among students at two schools. Assuming the same number of students were observed at each school, what is the sample size at each school, the decision to retain or reject the null hypothesis) and the effect size for this study based on the following statement? The number of outbursts among students at the small school (M=3) was significantly less than the number recorded at the large school (M = 5) f(38) =4.19, p < .05(d = 0.25 ). Results: sample size = 20 for each school For a two tailed test and df = 38, at 0.05 significance level, t = 2.023 (from t distribution table) Here, the critical value is less than t obtained (t2.023 < 4.19) Hence, we reject the null hypothesis at a 5% significance level Given that d = 0.25 => effect size is medium (since 0.2<d<0.8 for medium) Therefore, the study showed a medium…arrow_forwardIf sample data is such that for a one-tailed test of ? you can reject H0 at the 1% level of significance, can you always reject H0 for a two-tailed test at the same level of significance? Explain your answer? A. Yes. If H0 for a one-tailed test is rejected at the 1% level of significance, it will always be rejected for a two-tailed test at the same level of significance. B. No. If H0 for a one-tailed test is rejected at the 1% level of significance, it will never be rejected for a two-tailed test at the same level of significance. C. Yes. The P-value for the two-tailed test could be greater than 0.01. D. No. The P-value for the two-tailed test could be greater than 0.01.arrow_forward
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