Hawkes Leaming l Home x 1 Hawkes Leaming XCConsider the Following x C https/llea

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Hawkes Leaming l Home x 1 Hawkes Leaming XCConsider the Following x C https/llearnhawkeslearning.com/PortaVLesson/lesson practice Save &End; Practice Lesson 72 Central Theorem wth Me Limit Question 2 of 13, Step 1 of 1 The cost of 5 gallons or ice cream has a variance of 36 with a mean of 36 dolars during the summer What is the probabury that sample mean would damer from the true mean by less 06 dolars ir a sample of 107 5-gallon pars is than the andomly selected? Round your answer to four decimal places Answer How b Ender Tables Keypad Hide

Explanation / Answer

Mean ( u ) =4088
Standard Deviation ( sd )=55.696
Normal Distribution = Z= X- u / sd ~ N(0,1)                  
the probability that mean weight would differ from population
mean more than 41 grams is as (4088-41 < X < 4088 + 41) = P(4047 < X < 4129)

To find P(a < = Z < = b) = F(b) - F(a)
P(X < 4047) = (4047-4088)/55.696
= -41/55.696 = -0.7361
= P ( Z <-0.7361) From Standard Normal Table
= 0.23082
P(X < 4129) = (4129-4088)/55.696
= 41/55.696 = 0.7361
= P ( Z <0.7361) From Standard Normal Table
= 0.76918
P(4047 < X < 4129) = 0.76918-0.23082 = 0.5384                  

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