This is what I have so far. I am stuck on part B but I would also like to know i

Question

This is what I have so far. I am stuck on part B but I would also like to know if part A is correct. I have attached the Z chart. Thanks!

latin dr 9. (9 points) The random variable fill weight in ounces) of a powde distributed with a mean of u 24 ounces and a standard deviation of 5.M. a. If one box is randomly selected, what is the probability of observing a box fill more than 27 ounces That is, compute: P(r 27) S. Hint: Draw a picture to understand the probability you are computing b. Suppose many samples of size n are taken and (respective) sample means are computed. 36 boxes How are the resulting values of a distributed

Explanation / Answer

a)P(X>27)=1-P(X<27)=P(Z<(27-24)/5.4)=1-P(Z<0.5556)=1-0.7107=0.2893

b)resulting value has mean =24

and std error of mean =std deviation/(n)1/2 =5.4/(36)1/2 =0.9

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