Three coins are tossed. Model the experiment of observation of Heads. Coin #1 is a fair coin coin #2 has p(H) =0.6 and coin #3 has p(H)=0.7.
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- Lecture(12.8A) A researcher thinks that people have become more anxious when they hear about violent crime in the news. He asked a group of random participants to fill out two questioners. One questionere measured anxiety on a point scale from 1 to 10 with high anxiety resuting in higher scores. The other questionare asked participants to report the incidents of violent crime they had heard about (throuh media or face- to-face cummincation) in the last two weeks. The researcher gave the participants a score based on the total number of incidents reported. (1) What type of test should the researcher use to test this hypothesis.? (2) What would be the null and alternative hypotheses for this study? (Select two answers for each) (a) Z test (b)single sample t test (c)dependent sample t-test (d) independent sample t -test (e) ANOVA (f) Pearson correlation t-test (roe) (g) Chi Square goodness of fit test. (h)Chi Square test for independece (i)Ho: roe<=0…Exercises 2: A clinical trial is run to assess the effectiveness of a new anti- retroviral therapy for patients with HIV. Patients are randomized to receive a standard anti-retroviral therapy (usual care) or the new anti-retroviral therapy and are monitored for 3 months. The primary outcome is viral load which represents the number of HIV copies per milliliter of blood. A total of 30 participants are randomized and the data are shown below. Is there statistical evidence of a difference in viral load in patients receiving the standard versus the new anti-retroviral therapy? Standard Therapy New Therapy 7500 8000 2000 550 |1250 1000 2250 6800 3400 6300|9100|970 |1040|670 |400 400 250 800 1400 8000 7400| 1020 6000 920 |1420| 2700 4200|5200|4100 undetectableasap please
- Q3 A researcher wish to compare four manufacturing methods on the breaking strength of plastic. Four types of machines are used in this experiment. He believed that machines have an effect on the plastics breaking strength. However, each machine can operate only three methods during the experiments on a given day. Table Q3 shows the data of the experiment. Table Q3: Four manufacturing methods on the breaking strength of plastic Manufacturing Methods Machine 2 1 A=73 C=73 D=75 2 A=74 B=75 C=75 3 B=67 C=68 D=72 4 A=71 В-72 D=75 What is the name of the design? Write an appropriate statistical model then list the assumptions and identify the terms. (a) (b) Is this design symmetric ? Justify your answer. State if the design balance or not. Discuss how to achieve balance in this design ? Justify your answer. (c) (d) Test the hypothesis at a = 0.05 whether there is an effect of the four manufacturing methods on the breaking strength of plastics.Darts A student interested in improving her dart-throwingtechnique designs an experiment to test 4 differentstances to see whether they affect her accuracy. Afterwarming up for several minutes, she randomizes theorder of the 4 stances, throws a dart at a target using each stance, and measures the distance of the dart in centime-ters from the center of the bull’s-eye. She replicates this procedure 10 times. After analyzing the data she reportsthat the F-ratio is 1.41.a) What are the null and alternative hypotheses?b) How many degrees of freedom does the treatmentsum of squares have? How about the error sumof squares?c) What would you conclude?d) What else about the data would you like to see in orderto check the assumptions and conditions?e) If your conclusion in part c is wrong, what type oferror have you made?1/1 75% 16. Ages of College Students The dean of students wants to see whether there is a significant difference in ages of res- ident students and commuting students. She selects a ran- dom sample of 50 students from cach group. The ages are shown here. At a = 0.05, decide if there is enough evi- dence to reject the claim of no difference in the ages of the two groups. Use the P-value method. Assume o = 3.68 and oz = 4.7. Resident students 27 22 25 18 19 26 22 19 25 20 30 19 19 21 23 26 26 18 19 19 23 24 18 29 21 21 26 27 18 19 23 21 28 26 19 22 18 22 26 18 32 18 20 18 24 19 23 22 18 20 Commuter students 18 23 26 19 29 20 20 20 18 30 26 23 21 25 19 23 22 35 21 18 22 28 22 19 36 23 25 25 21 18 27 20 24 20 18 19 27 19 35 24 20 32 20 19 22 22 19 19 19 18
- A test of the claim that the proportion of residents with that least two jobs is more than 53% produces the test statistic z = 1.68 Find the P-value.Student Absences and Grades on the Final Exam Dr. V. noticed that the more frequently a student is late or absent from class the worse he or she performs on the final exam. He decided to investigate. Dr. V. collected a random sample of 22 students. This sample includes the number of times a student is absent and their grades on the final exam. The data can be found in the Excel file Assignment10.xlsx. Do not use any software that I did not assign. Question 1: Which or the two variables (times absent or grades on the final exam) is the independent variable and which is the dependent variable? Question 2: Using Microsoft Excel: SHOW YOUR WORK Times Late/Absent Final Exam Grade 1 9 84.00 2 2 92.50 3 12 52.00 4 5 87.00 5 11 75.00 6 24 45.00 7 7 39.00 8 10 46.00 9 19 63.00 10 2 65.00 11 2 98.00 12 17 24.50 13 8 58.00 14 20 69.50 15 55 49.00 16 23 68.50 17 6 70.00 18 4 75.50 19 2 85.00 20 7 97.00 21 2 97.00 22 2 93.50 23 0 93.50 24 2…JOB x LIFE SATISF, PART 5 of 6. What is the observed F score value for these scores? A researcher is interested in the effect of employment on life satisfaction. He selects a random sample of 12 adults who are employed full time, employed part time, temporarily unemployed, or chronically unemployed. He provided a scale that assessed their life satisfaction on a scale that ranges from 0 (very dissatisfied) to 80 (very satisfied). His results are as follows: What is the observed F score value for these scores?
- In a science fair project, Emily conducted an experiment in which she tested professional touch therapists to see if they could sense her energy field. She flipped a coin to select either her right hand or her left hand, and then she asked the therapists to identify the selected hand by placing their hand just under Emily's hand without seeing it and without touching it. Among 352 trials, the touch therapists were correct 168 times. Complete parts (a) through (d). 20 a. Given that Emily used a coin toss to select either her right hand or her left hand, what proportion of correct responses would be expected if the touch therapists made random guesses? (Type an integer or a decimal. Do not round.) an example 5 Get more help. M B D CHL & 7 GEREED Clear all 9 UK Check answer Us Mar 1Z = P= reject or fail?For the model: Y= Bo + B1X1 + B2X2 + B3X3 + B4X4 + ɛ If sample size is n=30, what is the degree of freedom for Error? 4 5 29 25
