Suppose that the medium coffees sold by a certain coffee shop have a mean volume of 16 ounces and a standard deviation of 0.4 ounces. What is the probability that a random sample of 100 medium coffees...

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Answered Same DayDec 23, 2021

Answer To: Suppose that the medium coffees sold by a certain coffee shop have a mean volume of 16 ounces and a...

Robert answered on Dec 23 2021
120 Votes
Q1
Sample mean=1603/100 =16.03
P( sample mean <16.03) =P( z <(16.03-1600)*(√100)/.4) = P ( z < 0.7
5) = 0.77337
Q2
The interval will be
Sample mean ± 1.96*SE
Where SE= 4 /√16 =1
The interval is 34.5 ± 1.96 =32.54 to 36.46
Q3
The test is a chi square test for variance
Ho: var = 6.14
H0: var ≠ 6.14
The test statistic is (n-1) sample var/population var= 29*11.08/6.14 = 52.33
The critical chi square value is with 29 degrees freedom is 45.7 and 95% confidence level
As...
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