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State whether the following statements are true or false and give a brief explanation. (Note that no marks will be given without explanation.) a) A research is conducted to study the relationship between two variables. The two variables are: (i) the occupations of employees, and (ii) the happiness scores of employees. It is noted that the occupation is at nominal level and the happiness score is at interval level. To perform the analysis, the chi-square test should be used. b) You are given that the coefficient of determination of two variables is 35%. So, it can be concluded that the slope of the regression line for the two variables is positive.

State whether the following statements are true or false and give a brief explanation. (Note that no marks will be given without explanation.) a) A research is conducted to study the relationship between two variables. The two variables are: (i) the occupations of employees, and (ii) the happiness scores of employees. It is noted that the occupation is at nominal level and the happiness score is at interval level. To perform the analysis, the chi-square test should be used. b) You are given that the coefficient of determination of two variables is 35%. So, it can be concluded that the slope of the regression line for the two variables is positive.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 1GP
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State whether the following statements are true or false and give a brief explanation. (Note that no marks will be given without explanation.) a) A research is conducted to study the relationship between two variables. The two variables are: (i) the occupations of employees, and (ii) the happiness scores of employees. It is noted that the occupation is at nominal level and the happiness score is at interval level. To perform the analysis, the chi-square test should be used. b) You are given that the coefficient of determination of two variables is 35%. So, it can be concluded that the slope of the regression line for the two variables is positive.
Transcribed Image Text:State whether the following statements are true or false and give a brief explanation. (Note that no marks will be given without explanation.) a) A research is conducted to study the relationship between two variables. The two variables are: (i) the occupations of employees, and (ii) the happiness scores of employees. It is noted that the occupation is at nominal level and the happiness score is at interval level. To perform the analysis, the chi-square test should be used. b) You are given that the coefficient of determination of two variables is 35%. So, it can be concluded that the slope of the regression line for the two variables is positive.
A study about the blood glucose levels (in mg/dL) of diabetic patients is performed. You wish to test whether there is a significant difference in the blood glucose levels of diabetic patients with good sleep quality and poor sleep quality. By using SPSS, the two-sample t-test is done and the following SPSS outputs are obtained (with some information hidden). Blood Glucose Level Blood Glucose Level c) d) e) Group Statistics Sleep Quality of Patients: Poor Sleep Quality Good Sleep Quality Equal variances assumed Equal variances not assumed N 37 31 Meant 121.73 114.97 F Std. Deviation 7.852 7.662 Levene's Test for Equality of Variances 062 Independent Samples Test Sig. .804 Std. Error Mean t (i) 1.291 1.376 (ii) df Sig. (2-tailed) .001 .001 t-test for Equality of Means Mean Difference 6.762 6.762 Std. Error Difference 1.8 a) Is it reasonable to assume that the population standard deviations of the blood glucose levels in both groups are the same? Explain your answer. b) In the hypothesis test, what should be the degree of freedom and the test statistic value under the assumption in (a)? Where, in (i) or (ii), should the test statistic value computed in (b) appear in the SPSS output above? Report the p-value of the test. Write the conclusion in the subject matter. Suppose ₁ and ₂ are the population mean blood glucose levels of diabetic patients with good and poor sleep quality respectively. Find the 95% confidence interval for μ₁ 4₂. 1.8 -
Transcribed Image Text:A study about the blood glucose levels (in mg/dL) of diabetic patients is performed. You wish to test whether there is a significant difference in the blood glucose levels of diabetic patients with good sleep quality and poor sleep quality. By using SPSS, the two-sample t-test is done and the following SPSS outputs are obtained (with some information hidden). Blood Glucose Level Blood Glucose Level c) d) e) Group Statistics Sleep Quality of Patients: Poor Sleep Quality Good Sleep Quality Equal variances assumed Equal variances not assumed N 37 31 Meant 121.73 114.97 F Std. Deviation 7.852 7.662 Levene's Test for Equality of Variances 062 Independent Samples Test Sig. .804 Std. Error Mean t (i) 1.291 1.376 (ii) df Sig. (2-tailed) .001 .001 t-test for Equality of Means Mean Difference 6.762 6.762 Std. Error Difference 1.8 a) Is it reasonable to assume that the population standard deviations of the blood glucose levels in both groups are the same? Explain your answer. b) In the hypothesis test, what should be the degree of freedom and the test statistic value under the assumption in (a)? Where, in (i) or (ii), should the test statistic value computed in (b) appear in the SPSS output above? Report the p-value of the test. Write the conclusion in the subject matter. Suppose ₁ and ₂ are the population mean blood glucose levels of diabetic patients with good and poor sleep quality respectively. Find the 95% confidence interval for μ₁ 4₂. 1.8 -
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