Suppose the weights of the contents of cans of mixed nuts have a normal distribution with mean 40 ounces and standard deviation
.5 ounce. For a random sample of size n = 16
(a) What are the mean and standard deviation of $ \bar{x}$
(b) What is the distribution of $ \bar{x}$ Is this distribution exact or approximate? Give your reasoning.
(c) Find the probability that $ \bar{x}$ lies between 39.75 and 40.25.

Question

Suppose the weights of the contents of cans of mixed nuts have a normal distribution with mean 40 ounces and standard deviation
.5 ounce. For a random sample of size n = 16
(a) What are the mean and standard deviation of $  \bar{x}$
(b) What is the distribution of $  \bar{x}$ Is this distribution exact or approximate? Give your reasoning.
(c) Find the probability that $  \bar{x}$ lies between 39.75 and 40.25.

Quizplus · Accepted Answer

The Answer of   Suppose the weights of the contents of cans of mixed nuts have a normal distribution with mean 40 ounces and standard deviation
.5 ounce. For a random sample of size n = 16
(a) What are the mean and standard deviation of $  \bar{x}$
(b) What is the distribution of $  \bar{x}$ Is this distribution exact or approximate? Give your reasoning.
(c) Find the probability that $  \bar{x}$ lies between 39.75 and 40.25.

Suppose the Weights of the Contents of Cans of Mixed xˉ \bar{x}xˉ

Suppose the Weights of the Contents of Cans of Mixed $\bar{x}$