Clinical psychologists developed a new type of therapy to reduce depression. It could make patients’ depression better or worse. The psychologists randomly select an eight incoming patients to receive the new form of therapy instead of the usual therapy. After 4 weeks, the average score of the eight patients on a standard depression scale is 41. For those who receive the usual therapy, their depression after 4 weeks is normally distributed with μ = 69.5 and σ = 14.1. The researcher wants to test their hypothesis at the 5 % significance level. What is the null hypothesis?What is the research hypothesis? What should the researcher conclude? Demonstrate all the steps that lead to your solution and conclusion. This should include all relevant formulas and critical values, as well as steps in calculation. A social psychologists asks 64 randomly selected students to rate the attractiveness of a person in a photograph. Prior to the rating of attractiveness by the person, each student is told that the person in the photograph has positive personality qualities (warmth, kindness, sense of humor, and intelligence. On a scale of 0 to 400, the mean attractiveness rating given by the 64 students after being told about the positive attributes is 220. From extensive previous research, the psychologist knows the distribution of the attractiveness ratings of the person in the photograph (when there has not been any mention of the person’s qualities) has a mean of 200 and a standard deviation of 48, and they follow an approximately normal distribution. What is the null hypothesis?What is the research hypothesis? What should the researcher conclude? What should the researcher conclude? Demonstrate all the steps that lead to your solution and conclusion. This should include all relevant formulas and critical values, as well as steps in calculation.A large number of people were shown a video of a collision between a moving car and a stopped car. Each person responded to how likely the driver of the moving car was at fault, on a scale of 0 (not at fault) to 10 (completely at fault). The distribution of ratings under ordinary conditions follows a normal curve with μ = 5.3, σ = 0.9, 22 randomly selected individuals are tested in a condition in which wording of the question changed to “How likely is the driver of the car who crashed into the other was at fault. These 22 research participants gave a mean at fault rating of 5.9. Did the changed instructions significantly increased the rating of being at fault.What is the null hypothesis?What is the research hypothesis? What should the researcher conclude? Demonstrate all the steps that lead to your solution and conclusion. This should include all relevant formulas and critical values, as well as steps in calculation.

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