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- indicator for gender (=1 if male, =0 if female). Your data set has 200 observations. donation = 1.57 + 0.12age + 0.08age? – 0.43 gender + 0.07(gender * age), R? = 0.33 (0.15)* (0.67) (0.11) (0.01) (0.06) donation = 1.59 (0.68) 0.46 gender, R² = 0.30 (0.17) 1. Assuming homoscedastic errors, test the hypothesis that age affects charitable donations at the 5% level. 2. Interpret the coefficient on gender interacted with age. 3. How would you test that the difference in giving between men and women is independent of age? If you can run the test, run it. If you cannot, explain what you need.Two companies manufacture a rubber material in- tended for use in an automotive application. The part will be subjected to abrasive wear in the field application, so we decide to compare the material produced by each company in a test. Twenty-five samples of material from each company are tested in an abrasion test, and the amount of wear after 1000 cycles is observed. For company 1, the sample mean and standard de- viation of wear are = 20 milligrams/1000 cycles and s = 2 milligrams/1000 cycles, while for company 2 we obtain = 15 milligrams/1000 cycles and s, = 8 milligrams/1000 cycles. Find a 95% confidence interval on the difference in mean wear µ, - Hz. Assume each population is normally distributed but that their variances are not equal. What is the lower bound? Three decimal placesQ2) choose correct answer: 1- statistics about marriages, divorces and death is * called vital bio statistics TO FO
- If the percentage of defective in a factory was 0.30, a random sample of 200 units was taken, and 50 defective units were found, find the value of the statistical laboratory *The Economist collects data each year on the price of a Big Mac in various countries around`the world. The price of a Big Mac for a sample of McDonalds restaurants in Europe in May 2009 resulted in the following Big Mac prices (after conversion to U.S. dollars):3.80 5.89 4.92 3.88 2.65 5.57 6.39 3.24The mean price of a Big Mac in the U.S. in May 2009 was $3.57. For purposes of this exercise, assume it is reasonable to regard the sample as representative of European McDonalds restaurants. Does the sample provide convincing evidence that the mean May 2009 price of a Big Mac in Europe is greater than the reported U.S. price? Test the relevant hypotheses using a = .05. Assume a normal distribution of the data. Но: и Ha: u Select an answer V (Put in the correct symbol and value) a = P-value =. Based on the above we choose to Select an answerA study was conducted to examine how anxiety (measured on a metric scale) varies for people from different age groups (<18 years, 19 - 29 years, 30 - 39 years, 40+ years). It was hypothesised that people <18 years old would have the least anxiety of the four age groups. It was also hypothesised that people 40+ years old would have more anxiety than people 19-29 years old. Which of the following would be an appropriate statistical test to conduct, which addresses these hypotheses? Group of answer choices: Factorial ANOVA Multiple Regression Mixed ANOVA Single factor ANOVA Within Subjects ANOVA
- Should there be a significant difference with this study, what post-hoc test shall be used? Dr. Hess has done work that suggests that emotional arousal affects pupil size. To ascertain if the type of arousal makes a difference, you decided to measure pupil size under three different arousal conditions (Neutral, Pleasant, Aversive). Each participant will look at all the different pictures that differ according to the condition. The pupil size after viewing each photograph is measured in millimeters. * t-Test paired two sample for means O t-Test assuming equal variances O t-Test assuming unequal variancesThe FDA regulates that fish that are consumed should contain no more than 1.0 mg/kg of mercury. In Florida, bass fish were collected in 24 different lakes to measure the amount of mercury in the fish ('Multi- disciplinary niser activity, 2013). The data for the average amount of mercury in the fish from each lake is in table below. Average mercury level in a lake 0.71 0.15 0.17 0.63 0.43 1.08 0.27 0.5 0.19 1.20 0.94 0.87 0.48 0.44 0.98 0.59 0.28 0.49 1.16 0.25 1.23 0.77 0.73 0.65 For the data shown above, find the following. Round values 3 decimal place (s). Select the correct units for each statistic.George conducted an experiment to find relation between consuming alcohol and sleep disturbance and body mass index. 300 college students in London completed the survey in thier first yr .the survey had questions related to sleep patterns,height,weight , physical activity, location Find the study design,strength,limitation 2 students in a local school were sent to another the old math class or the new math program to check the credibityl of the new math program.their BMI and endurance were measured and after 4 months since random allocation was not possible ,the teachers gave the morning math classes the new math program and the afternoon math classes completed the old math program Find the study design,strength,limitation
- _9. The mean annual income of workers who are college graduates is greater than Php 100,000 a year. A. H.:µ 100,000 В. Н.: и> 100,000 & HA: и 84 В. Н.: 3D 84 & HA: и 19 Β. H : μ 19 & Η μ 1,500,000 C. H.: µ = 1,500,000 & HẠ: µ > 1,500,000 B. H.:µ = 1,500,000 & HA: µ + 1,500,000 D. H.: µ = 1,500,000 & HA: µ 100,000 & Нд: иS 100,000 С. Н.: и %3D 84 & HA: # 84 D. H.: µ = 84 & H4: µ < 84 C. H.: μ= 19 & HA: μ# 19 D. H : μ 60 & HA: μ< 60Blood Type Occurrence АВ Figure 2.33 Occurrence of blo- 40 4. 11 45 Blood Type Occurrence 38 7. re 2.32 Eleven in 100 (11%) Figure 2.34 Blood types per 1e have type B blood. .2 EXERCISES A survey of 200 people yielded the following infor- mation: 94 people owned a Blu-ray player, 127 owned a microwave oven, and 78 owned both. How many people owned the following? a Blu-ray player or a microwave oven b. a Blu-ray player but not a microwave oven a microwave oven but not a Blu-ray player a. с. d. neither a Blu-ray player nor a microwave oven inldod the followingThe sample of individual students' test scores was drawn from the total number of students taking the course the 'Theory and Practice of Peace and Conflict' (3credit hour per week) in the academic year 2014 second semester. Their test scores were recorded and shown in the following table. Student 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 Marks 23.0 12.0 15.0 15.0 24.0 26.5 17.0 27.0 34.5 24.5 21.5 9.50 16.5 30.0 27.0 Student 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 Marks 9.50 15.5 12.5 25.0 10.0 39.0 30.0 35.5 36.0 32.5 38.5 37.0 35.5 29.5 37.0 a) Use any statistical software to generate the descriptive statistics for the above data. The statistics generated should include the values of sample mean, sample standard deviation, and sample size. b) Construct the 95% confidence interval for the population mean and interpret the interval. Based on the interval, explain the result. c) Construct the 95% confidence interval for the population standard deviation and interpret the interval. Based…