SOLUTION: A certain brand of apple juice is supposed to have 64 oz. of juice. The juice varies from bottle to bottle though with a standard deviation of .06. The average amount of juice shou

Question 1118673: A certain brand of apple juice is supposed to have 64 oz. of juice. The juice varies from bottle to bottle though with a standard deviation of .06. The average amount of juice should be 64 oz though. After randomly selecting a bottle off the line the manager says the content is about 1.5 standard deviations below average. Approximately how much juice is in the bottle?
As part of her routine, she now samples 22 bottles of juice. The results are as followed:
63.97, 63.92, 63.93, 63.87, 63.94, 63.98, 64.03, 63.9, 63.95, 64.05, 64.02, 63.9, 63.95, 64.01, 64.01, 63.91, 63.9, 63.92, 64, 63.93, 64.01, 63.97
The sampling distribution of the sample must be normal. Why can she be confident that the normality requirement has been met here?
The sample mean of the sample statistics above is 63.958. What is the s, and n of the sample statistics above?
What is the mu and sigma of the population parameters above?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
A certain brand of apple juice is supposed to have 64 oz. of juice. The juice varies from bottle to bottle though with a standard deviation of .06. The average amount of juice should be 64 oz though. After randomly selecting a bottle off the line the manager says the content is about 1.5 standard deviations below average. Approximately how much juice is in the bottle?
Ans: 64-1.5*0.06 = 63.91 oz
----------------------------------------
As part of her routine, she now samples 22 bottles of juice. The results are as followed:
63.97, 63.92, 63.93, 63.87, 63.94, 63.98, 64.03, 63.9, 63.95, 64.05, 64.02, 63.9, 63.95, 64.01, 64.01, 63.91, 63.9, 63.92, 64, 63.93, 64.01, 63.97
The sampling distribution of the sample must be normal. Why can she be confident that the normality requirement has been met here?
Ans: She selected a random sample.
---------------------------------
The sample mean of the sample statistics above is 63.958. What is the s, and n of the sample statistics above?
Ans: n = 22 ; Using my TI-84 I get::s = 7.0296
------------------------
What is the mu and sigma of the population parameters above?
Ans: mu = 63.958
Since sigma/sqrt(n) = 7.0296, sigma = sqrt(22)*7.0296 = 32.97
------------
Cheers,
Stan H.
------------
RELATED QUESTIONS
A certain brand of apple juice is supposed to have 64 ounces of juice. Because the... (answered by Theo)

A certain brand of apple juice is supposed to have 64 ounces of juice. Because the... (answered by CubeyThePenguin)

A certain brand of apple juice is supposed to have (answered by richwmiller)

A certain brand of apple juice is supposed to... (answered by richwmiller)

If a 32 oz. bottle of lemonade contains 10% lemon juice, how much pure lemon juice is in... (answered by jim_thompson5910)

A cooler contains 12 bottles of apple juice and 18 bottles of orange juice. You reach in... (answered by stanbon)

Lupe's mother paid $ 7.40 to buy juice for the 14 members of Lupe's softball team. If a... (answered by stanbon)

a 36 ounce bottle of orange juice cost $3.69, while 64.2 ounce bottle of orange juice... (answered by Mathtut)

A bottle contains 850 mL of fruit punch with a concentration of 50% pure fruit juice.... (answered by josmiceli)