Save Question 17 (8 points) A machine is designed to fill jars with spaghetti sa

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Save Question 17 (8 points) A machine is designed to fill jars with spaghetti sauce. The amount of sauce it dispenses into the jars is normally distributed with a mean of 850 grams and a standard deviation of 8 grams. Suppose 16 jars are selected at random. Find the probability that the mean amount of sauce in these 16 jars is less than 845 grams. To receive full credit, you must show your work using the correct input for one of our calculator functions. Save Question 18 (8 points) t 700 nasses to their "invite only" VIP lounge. The lounge can only handle a total of 50 ll not shaw up. Find the

Explanation / Answer

Given :- =850 grams. =8 grams. n=16 jars

Let z = (X – ) / ( / n)

Therefore,

P(X<x) = P(X< 845)

= P[(X– ) / ( / n) < (845 - 850)/ (8/16)]

= P[ z < ( -5/2) ]

= P [ z< -2.5]

P(X<845)= 0.0062 ------- from negative z table

0.0062 is the probability that the mean amount of sauce in these 16 jars is less than 845 grams.

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