A random variable X is normally distributed. It has a mean of 230 and a standard deviation of 31. List the givens with correct symbols: ? v = 230 = 31 a) If you take a sample of size 11, what can you say what the shape of the sampling distribution for the sample mean? Select an answer Because: (Check all that apply) O population is normal On is less than 30 population is not normal On is at least 30 b) For a sample of size 11, state the mean and the standard deviation of the sampling distribution of the sample mean. round to 2 decimals c) Find the probability of getting a sample mean greater than 241.4 when taking a sample of size 11 from this population. P( > 241.4) = round to 2 decimals

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A random variable X is normally distributed. It has a mean of 230 and a standard deviation of 31.
List the givens with correct symbols:
230
%3D
31
a) If you take a sample of size 11, what can you say what the shape of the sampling distribution for the
sample mean?
Select an answer
Because: (Check all that apply)
population is normal
On is less than 30
population is not normal
On is at least 30
b) For a sample of size 11, state the mean and the standard deviation of the sampling distribution of the
sample mean.
round to 2 decimals
c) Find the probability of getting a sample mean greater than 241.4 when taking a sample of size 11 from
this population.
P(a > 241.4) =
round to 2 decimals
Transcribed Image Text:A random variable X is normally distributed. It has a mean of 230 and a standard deviation of 31. List the givens with correct symbols: 230 %3D 31 a) If you take a sample of size 11, what can you say what the shape of the sampling distribution for the sample mean? Select an answer Because: (Check all that apply) population is normal On is less than 30 population is not normal On is at least 30 b) For a sample of size 11, state the mean and the standard deviation of the sampling distribution of the sample mean. round to 2 decimals c) Find the probability of getting a sample mean greater than 241.4 when taking a sample of size 11 from this population. P(a > 241.4) = round to 2 decimals
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