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- 1. Using Minitab: Perform an ANOVA with a Tukey test (or LSD) with α=0.05. Which means have a statistically significant difference? Choose all pairs that have a statistically significant difference. a. The means of 1 and 2 are different. b. The means of 1 and 3 are different. c. The means of 2 and 3 are different. d. None of the means are differentCarry out all nine steps of the hypothesis testing procedure. 1. Assume that anxiety scores as measured by an anxiety assessment inventory are normally distributed with u= 20 and o = 4. anxiety is randomly selected, and their mean anxiety score X = 22. Is the average anxiety score from patients who are under treatment significantly different from 20? Assume a = .10. sample of 4 patients who are undergoing treatment for 2. According to the National ASsociation of Builders, the average single-family home size in the United States is normally distributed with a mean µ = 2392 square feet and a standard deviation o = 760 square feet. Sixty single-family houses are randomly selected from Cleveland, and the mean size is 2,025 square feet. Is the average square footage of houses in Cleveland different than the population mean? Assume a = .05.3.STATISTICAL INFERENCE
- 10. Test the claim about the population mean μ at the level of significance α. Assume the population is normally distributed. Claim: μ<4915; α=0.05 Sample statistics: x=5017, s=5613, n=55 Question content area bottom Part 1 What are the null and alternative hypotheses? H0: ▼ ▼ greater than or equals≥ less than or equals≤ less than< not equals≠ equals= greater than> enter your response here Ha: ▼ sigma squaredσ2 pp sigmaσ muμ ▼ not equals≠ greater than or equals≥ less than or equals≤ less than< equals= greater than> enter your response here (Type integers or decimals. Do not round.)Need b and cWhich of the following statements is NOT correct about the hypothesis test of comparing two correlation coefficients? O a. As the sample size increases, the critical value for the z-test will become smaller in absolute value O b. Table D (transformation of r to z) shows that when r is smaller, the corresponding z is very close to r O c. For the computation, the two correlation coefficients should be converted into z-scores first O d. Because r distribution is severely skewed, we can't directly use r for the hypothesis test
- 31. The data below show sport preference and age of participant from a random sample of members of a sports club. Is there evidence to suggest that they are related? Tennis Swimming Basketball 18-25 76 97 100 26-30 91 100 92 31-40 81 68 77 Over 40 50 46 35 What can be concluded at the αα = 0.10 significance level? What is the correct statistical test to use? Independence Goodness-of-Fit Homogeneity Paired t-test What are the null and alternative hypotheses?H0: Age and sport preference are dependent. The age distribution is the same for each sport. The age distribution is not the same for each sport. Age and sport preference are independent. H1: Age and sport preference are dependent. The age distribution is not the same for each sport. The age distribution is the same for each sport. Age and sport preference are independent. The test-statistic for this data = (Please show your answer to three decimal places.) The p-value for this sample =…Formulate research problems and hypotheses to test the effect between 2 variables (variable X and variable Y). The following presents quantitative data from the measurement results of variables X and Y from a number of individuals (sample) taken randomly from a certain population. The distribution of the measurement data is as follows: No. Resp. 1 2 3 456 789 10 11 12 13 14 15 16 Var.X 11 22 9 5 25 10 13 12 17 16 20 15 18 19 23 28 Var.Y 17 30 12 9 34 15 20 19 24 22 29 21 25 27 31 36 Based on these data, solve the following statistical problems: d. What is the direction of the relationship formed between the X variable and the Y variable?7?
- 4. Which of the following is used in model fit comparisons? A. Alkaike Information Criterion test B. The R-squared adjusted C. The Bayesian Information Criterion D. All of the above 5. Dr. Musantu conducted an estimation between y (dependent variable) and x (independent variable) in Stata. He obtained 0.332 coefficient of x and standard error of 0.021. What is the value of the t-statistic? A. 14.809 01392 B. 15.809 C. 16.809 D. None of the above 6. Is the above regressor (in question 8) significant at 5% (which gives 1.96 critical values) level of significance? A. No B. Yes 7. In a log-log regression model, what does the slope coefficient measure? A. The elasticity or percentage change of y with respect to a percentage change in x. B. The change in y which the model predicts for a unit change in x. C. The change in x which the model predicts for a unit change in y. D. 100 multiplied by the ratio y/x. 0.021need d,e,f answered