Identify if the following statements are true (T) or false (F). 1) The shape of
ID: 3319301 • Letter: I
Question
Identify if the following statements are true (T) or false (F).
1) The shape of the t distribution changes as the sample size changes. ( )
2) The 95% confidence interval for the difference between means of two groups ranges from -2.50 to 5.50. Based on this information, we can conclude that there is no significant difference between the groups at the 0.05 significance level. ( )
3) People with high incomes tend to have high living expenses and people with low incomes tend to have low living expenses. This indicates a positive relationship between income and living expenses. ( )
4) Researcher A reported r = -0.86. Researcher B reported r = 0.43. The correlation coefficient reported from Researcher B is stronger because the value is higher than the coefficient of Researcher A. ( )
Explanation / Answer
1) The shape of the t distribution changes as the sample size changes. ( True )..as the sample size increses shape tends towards normal distribution
2) The 95% confidence interval for the difference between means of two groups ranges from -2.50 to 5.50. Based on this information, we can conclude that there is no significant difference between the groups at the 0.05 significance level. ( True ). As the confidence interval cointains the value 0
3) People with high incomes tend to have high living expenses and people with low incomes tend to have low living expenses. This indicates a positive relationship between income and living expenses. ( True )as income increases living expence increases
4) Researcher A reported r = -0.86. Researcher B reported r = 0.43. The correlation coefficient reported from Researcher B is stronger because the value is higher than the coefficient of Researcher A. ( False )