Question

Which of the following is false? 

• Correlation measures the strength of linear association between two numerical variables. 

•  If the correlation between two variables is close to 0.01, then there is a very weak linear relation between them. 

• Correlation coefficient and the slope always have the same sign (positive or negative). 

• if the correlation coefficient is 1, then the slope must be 1 as well.

A simple random sample of size 19 is obtained from a population that is normally distributed with a mean of 43,8 and a standard deviation of 2. Is the sampling distribution normally distributed? Why? 

• Yes, the sampling distribution is normally distributed because the population is normally distributed 

• No, the sampling distribution is not normally distributed because the population is not normally distributed 

• Yes, the sampling distribution is normally distributed because the population mean is greater than 30 

• No, the sampling distribution is not normally distributed because the sample size is less than 30.

Answer 1

1. The false statement is:

If the correlation coefficient is 1, then the slope must be 1 as well.

2. Yes, the sampling distribution is normally distributed because the population is normally distributed.