A random sample of size two is drawn from a normal distribution with mean 3 and

Question

A random sample of size two is drawn from a normal distribution with mean 3 and standard deviation 2. Which statement is correct? O The average will have a skewed distributed with mean 3 and standard error s.e2 O The average will be normally distributed with mean 3 and standard error s.e-2 O The average will have a skewed distributed with mean 3 and standard error s.e-1 O The average will have a skewed distributed with unknown mean and standard error s.ev2 d The average will be normally distributed with mean 3 and standard error s.e- A random sample of size two is drawn from a highly LEFT skewed distribution with mean 3 and sta s correct? O The average will have a right skewed distributed with mean 3 and standard error sel O The average will be normally distributed with mean 3 and standard error s.e-1.41 O The average will have a normally distributed with unknown mean and standard error s.e-1.41 O The average will have a left skewed distribution with mean 3 and standard error s.e-1.41. O The average will be normally distributed with mean 3 and standard error s.e-2

Explanation / Answer

Soluttion1:

given population foolows normal distribution with mean=3 and sd=2

here n=sample size=2

sample follows distribution with mean=3

s.e=sd/sqrt(sample size)

=2/sqrt(2)

=sqrt(2)sqrt(2)/sqrt(2)

=sqrt(2)

OPTION E FROM GIVEN CHOICES

THE AVERAGE WILL BE NORMALLY DISTIBUTED WITH MEAN 3 AND SE SQRT(2)

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