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STAT 2606 : Business Statistics

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Carleton University

   

Business Statistics (STAT 2606)

   

Added on  2020-04-15

STAT 2606 : Business Statistics

   

Carleton University

   

Business Statistics (STAT 2606)

   Added on 2020-04-15

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Running head: STATISTICSStatisticsName of the StudentName of the UniversityAuthor note
STAT 2606 : Business Statistics_1
1STATISTICSTable of ContentsAnswer 1..........................................................................................................................................2Part a............................................................................................................................................2Part b............................................................................................................................................2Part c............................................................................................................................................3Answer 2..........................................................................................................................................3Answer 3..........................................................................................................................................3Answer 4..........................................................................................................................................4Part a............................................................................................................................................4Part b............................................................................................................................................4Part c............................................................................................................................................5Answer 5..........................................................................................................................................6Part a............................................................................................................................................6Part b............................................................................................................................................6
STAT 2606 : Business Statistics_2
2STATISTICSAnswer 1Part aThe amount of Classy Cola in the cans follows a normal distribution with XN(μ=355.4,σ=1.5)Thus, the probability that a randomly selected can would have less than 355ml P(X<355)=P(X−μσ<355−355.41.5)¿P(Z<−0.2667)= 0.3949Thus 39.49% of the cans have less than 355 ml of Classy Cola in its cansPart bThe number of randomly selected cans = 50Thus, the probability that 50 randomly selected can would have less than 355ml P(X<355)=P(X−μσ/√n<355−355.41.5/√50)¿P(Z<−1.8856)= 0.0297Thus the probability that all 50 cans would have less than 355 ml of Classy Cola is 2.97%
STAT 2606 : Business Statistics_3

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