A random variable X is normally distributed. It has a mean of 232 and a standard deviation of 25. Label the following with the correct symbols from the drop-down box: ? = 232 = 25 a) If you take a sample of size 10, can you say what the shape of the sampling distribution for the sample mean is? Why or why not? Check what must apply. n is less than 30 distribution of population is normal n is at least 30 distribution of population is not normal b) For a sample of size 10, 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 = 10: standard deviation of the sampling distribution of the sample mean when n = 10: Round your final answer to two decimal places.

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A random variable X is normally distributed. It has a
mean of 232 and a standard deviation of 25.
Label the following with the correct symbols from
the drop-down box:
?
= 232
?
= 25
a) If you take a sample of size 10, can you say what
the shape of the sampling distribution for the sample
mean is?
?
Why or why not? Check what must apply.
n is less than 30
distribution of population is normal
n is at least 30
distribution of population is not normal
b) For a sample of size 10, 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 = 10:
standard deviation of the sampling distribution of
the sample mean when n =
10:
Round your final answer to two decimal places.
Transcribed Image Text:A random variable X is normally distributed. It has a mean of 232 and a standard deviation of 25. Label the following with the correct symbols from the drop-down box: ? = 232 ? = 25 a) If you take a sample of size 10, can you say what the shape of the sampling distribution for the sample mean is? ? Why or why not? Check what must apply. n is less than 30 distribution of population is normal n is at least 30 distribution of population is not normal b) For a sample of size 10, 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 = 10: standard deviation of the sampling distribution of the sample mean when n = 10: Round your final answer to two decimal places.
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