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Question 1:

Question 2:

A population of values has a normal distribution with $μ=182.8$ and $σ=70.6$. 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. $P_{23}(for sample means)=$ 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.

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