A random variable is normally distributed. It has a mean of 225 and a standard deviation...

A random variable is normally distributed. It has a mean of 225 and a standard deviation of 26.

If you take a sample of size 11, can you say what the shape of the sampling distribution for the sample mean is? Why?

If the sample size is 11, then you can't say anything about the sampling distribution of the sample mean, since the population of the random variable is not normally distributed and the sample size is less than 30.
If the sample size is 11, then you can say the sampling distribution of the sample mean is normally distributed since the variable is normally distributed.
If the sample size is 11, then you can say the sampling distribution of the sample mean is not normally distributed since the sample size is less than 30.

For a sample of size 11, state the mean of the sample mean and the standard deviation of the sample mean. Round to two decimal places if necessary.
μ_x̄ =
σ_x̄ =

For a sample of size 11, find the probability that the sample mean is more than 223.
P(x̄ > 223) =

If you take a sample of size 36, can you say what the shape of the distribution of the sample mean is? Why?

If the sample size is 36, then you can say the sampling distribution of the sample mean is not normally distributed since the sample size is greater than 30.
If the sample size is 36, then you can say the sampling distribution of the sample mean is normally distributed since the variable is normally distributed.
If the sample size is 36, then you can't say anything about the sampling distribution of the sample mean, since the population of the random variable is not normally distributed and the sample size is greater than 30.

For a sample of size 36, state the mean of the sample mean and the standard deviation of the sample mean. Round to two decimal places if necessary.
μ_x̄ =
σ_x̄ =

For a sample of size 36, find the probability that the sample mean is more than 223.P(x̄ > 223) =

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Expert Solution

orchestra answered 1 year ago

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