A random variable X is not normally distributed. It has a mean of 32 and a standard deviation of 4.
List the givens with correct symbols:
$\mu = 32$
$\sigma = 4$
a) If you take a sample of size 16, can you say what the shape of the sampling distribution for the sample mean is?
Why or why not? Check all that apply.
$\sigma$ is known
n is less than 30
n is at least 30
$\sigma$ is unknown
population is not normal
population is normal
b) For a sample of size 16, state the mean and the standard deviation of the sampling distribution of the sample mean.
mean of the sampling distribution of the sample mean when $n = 16$:
standard deviation of the sampling distribution of the sample mean when $n = 16$ rounded to two decimal places:
c) If you take a sample of size 37, can you say what the shape of the distribution of the sample mean is?
Why or why not?
$\sigma$ is unknown
n is less than 30
population is normal
$\sigma$ is known
population is not normal
n is at least 30
d) For a sample of size 37, state the mean and the standard deviation of the sampling distribution of the sample mean.
mean of the sampling distribution of the sample mean when $n = 37$:
standard deviation of the sampling distribution of the sample mean when $n = 37$ rounded to two decimal places: