(Solved): Question 1:Question 2: A population of values has a normal distribution with =182.8 and =70.6. Y ...

A population of values has a normal distribution with $\mu =182.8$ and $\sigma =70.6$. You intend to draw a random sample of size $n=181$. Find $P_{23}$, which is the mean separating the bottom $23\%$ means from the top $77\%$ means. $P_{23}\text{ (for sample means) }=$ Enter your answers as numbers accurate to 1 decimal place. Answers obtained using exact $z$-scores or $z$ scores rounded to 3 decimal places are accepted. A distribution of values is normal with a mean of 60 and a standard deviation of 24 . From this distribution, you are drawing samples of size 12 . Find the interval containing the middle-most $66\%$ of sample means: Enter your answer using interval notation. In this context, either inclusive or exclusive intervals would be acceptable. Your numbers should be accurate to 1 decimal places. Answers obtained using exact z-scores or z-scores rounded to 3 decimal places are accepted.