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the weights of people in a certain population are normally distributed with a me

ID: 3380285 • Letter: T

Question

the weights of people in a certain population are normally distributed with a mean of 157 lb and a standard deviation of 23 lb. find the mean and standard error of the mean for this sampling distribution when using random samples of size 8 the weights of people in a certain population are normally distributed with a mean of 157 lb and a standard deviation of 23 lb. find the mean and standard error of the mean for this sampling distribution when using random samples of size 8 the weights of people in a certain population are normally distributed with a mean of 157 lb and a standard deviation of 23 lb. find the mean and standard error of the mean for this sampling distribution when using random samples of size 8

Explanation / Answer

By the central limit theorem, they have the same mean,

mean = 157 lb [ANSWER]

However, the standard error will be divided by sqrt(n),

standard error = = 23/sqrt(8) = 8.131727984 [ANSWER]