Question

In: Math

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?


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.

Solutions

Expert Solution

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.


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