True or False

  1. As the degrees of freedom increases, the probability density function of the Student’s t- distribution approaches the standard normal distribution.
  2. The Central Limit Theorem states that the sample mean of a random sample is approximately normally distributed, if the random sample came from a large population with finite mean and variance and the sample size is sufficiently large.
  3. If Ho is rejected at 0.05 level of significance, then Ho will also be rejected at 0.10 level of significance using the same test on the same dataset.
  4. A 95% confidence interval estimate for μ given to be (15, 19) will reject the null hypothesis Ho: μ = 20 vs Ha: μ ≠ 20 at 0.05 level of significance.
  5. In testing for a disease, the null hypothesis is the person is healthy while the alternative hypothesis is the person has the disease. If a healthy person is diagnosed as having the disease, a Type I error is committed.
  6. If there is a negative correlation between anxiety and performance on complex tasks, then either high level of anxiety causes poor performance on complex tasks or poor performance on complex tasks causes high levels of anxiety.
  7. A correlation of 0.29 indicates a weaker linear relationship than a correlation of -0.40.
  8. A zero correlation between variables X and Y means that X and Y have no relationship.
  9. If there is no relationship between two variables, then the correlation coefficient is 0.
  10. A correlation of 0.96 for two variables X and Y implies that if X increases, there is a 96% chance that Y will also increase.
  11. If the sample correlation coefficient between X and Y is positive, then the slope of the estimated regression line of Y on X will also be positive.
  12. If a regression analysis is to be performed between the running time (in minutes) and heart rate (in bpm) of young adults, then the independent variable is the running time.

Public Answer

66S5TN The First Answerer