(Solved): A random sample of size n=25 is selected from a normal population with mean =103 and standard dev ...

A random sample of size $n=25$ is selected from a normal population with mean $?=103$ and standard deviation $?=14$. Describe the shape of the sampling distribution of the sample mean. The distribution is skewed left. The distribution is exactly normal. The distribution is skewed right. The distribution is approximately uniform. The distribution is approximately normal. Find the mean and standard error of the sampling distribution of the sample mean. mean standard error A random sample of $n=25$ is selected from a normal population with mean $?=108$ and standard deviation $?=11$. (a) Find the probability that $\stackrel{?}{x}$ exceeds 113. (Round your answer to four decimal places.) (b) Find the probability that the sample mean deviates from the population mean $?=108$ by no more than 3. (Round your answer to four decimal places.) You may need to use the appropriate appendix table to answer this question.