The salaries of professional baseball players are heavily skewed right with a mean of $3.2 million and a standard
deviation of $2 million. A baseball analyst randomly selects 40 athletes and records the mean salary. What is the shape
of the distribution of the sample mean for all possible random samples of size 40 from this population?
skewed left
skewed right
approximately Normal
approximately uniform

Respuesta :

Answer:

approximately Normal with a mean of 3.2 million and a standard deviation of 0.32 million

Step-by-step explanation:

For normal distribution conditions

1) Sample size is greater than 30

2) Population standard deviation is known

3) population is normal distributed

Above any condition given problem if satisfied than it's distribution will approximately normal.

n = 40 > 30

Sample size(n) greater than 30 and population standard deviation is known.

So the distribution will approximately be normal

Hope this helps!

The shape  of the distribution of the sample mean for all possible random samples of size 40 from this population is approximately Normal

The following any or all conditions should be there for normal distribution:

  • The Sample size is more than 30 .
  • Population standard deviation is known .
  • The Population is normal distributed

Now  

n = 40 > 30

Here  

Sample size(n) more than 30 and population standard deviation is known.

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