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- The standardized regression coefficient describes the relationship between X and Y in terms of ______. Group of answer choices the correlation between observed and predicted scores standard deviations the original units of measurement partitions of varianceA researcher wants to measure average cardiovascular health of university students and compare those scores to the average scores in the general population. Assuming that population variance is known, what statistical test is most appropriate for this study? independent-samples t-test single-sample t-test z-test for sample mean related-samples t-testThe data in personalities is bivariate normally distributed What is the correlation coefficient for the association of extroversion and neuroticism in personalities What is the value of Fisher's z-transforation of the correlation coefficient for the association of extroversion and neuroticism in personalities What is the standard deviation of the sampling distribution of Fisher's z-transformed correlation coefficient for the association of extroversion and neuroticism calculated from the data in personalities
- A researcher wants to measure average cardiovascular health of university students and compare those scores to the average scores in the general population. Assuming that population variance is known, what statistical test(s) seem most appropriate for the study? (Cardiovascular health is represented by how many seconds it takes for the heart rate to return to baseline after a stress test). Paired samples t-test Independent samples t-test z-test for the sample mean ANOVADescribe the important characteristics of the variance of a conditional distribution of an error term in a linear regression. What are the implicationsfor OLS estimation?For a sample of 306 students in a basic business statistics course, the sample regression liney = 58.813 + 0.2875xwas obtained. Here,y = final student score at the end of the coursex = score on a diagnostic statistics test given at the beginning of the courseThe coefficient of determination was 0.1158, and the estimated standard deviation of the estimator of the slope of the population regression line was 0.04566.a. Interpret the slope of the sample regression line.b. Interpret the coefficient of determination.c. The information given allows the null hypothesis that the slope of the population regression line is 0 to be tested in two different ways against the alternative that it is positive. Carry out these tests and show that they reach the same conclusion.
- A statistics professor takes a random sample of 25 students who have taken a special statistics class. He wants to test the null hypothesis that the grades of these students are, on average, less than or equal to those of the population of students who take the regular statistics test. The mean grade for the population is 75. The mean grade for the sample is 86 with a standard deviation of 10. Using a significance level of .05, test the null hypothesis.Scores on a certain test are normally distributed with a variance of 15. A researcher wishes to estimate the mean score by all adults on the test. Find the sample size needed to assure with 98% confidence that the sample mean will not differ from the population mean by more than 4 units.The regression line for a set of data will have little meaning unless: Select one: a. the correlation coefficient is significant. b. the slope of the regression line is zero. c. the standard deviation of errors is zero. d. there are at least 30 data points chosen.
- The key assumptions of the ANOVA include homogeneity of variance, normality of population distributions and: Independence of observations Variability of residuals The IV must be measured on a continuous level The DV must be measured on a nominal levelChi-square Test for a Variance or Standard Deviation: Scores on an IQ test are normally distributed. A sample of 24 IQ scores had standard deviation s = 23 . The developer of the test claims that the population standard deviation is α = 15. Do these data provide sufficient evidence to contradict this claim? Use the α = .01 level of significance.An instructor gives the same final exam every year. She knows that the μ = 79 but the population variance is unknown. She thinks that her current class is advanced, and will do better than past classes (have a higher mean). The class consists of 25 students, and their final exam class mean was 87 with a variance estimate of 400. Assume that the parametric assumptions are NOT violated. Did her class do statistically better than previous classes? Conduct an appropriate statistical test using α = .05. Write your answer using the 8 steps of hypothesis testing.
