![MatteBlack9868](/avatars/37424.jpg)
MatteBlack9868
23.10.2020 •
Mathematics
The Mill Valley Brewery produces 32 ounce bottles of beer. The Bureau of Weights and Measures randomly selects 50 of these bottles, measures their contents, and obtains a sample mean of 31.8 oz and a sample standard deviation of 0.75 oz. At the 5% level, is there evidence that Mill Valley Brewery is cheating customers by under-filling their bottles?
Solved
Show answers
More tips
- S Science and Technology Exploring Our Galaxy: How Many Planets are in the Milky Way?...
- W Work and Career Can Skill Alone Make You a Professional?...
- C Computers and Internet How to Top Up Your Skype Account Without Losing Money?...
- P Philosophy Unidentified Flying Object - What is the Nature of this Phenomenon?...
- F Family and Home Protect Your Home or Apartment from Pesky Ants...
- O Other What is a Disk Emulsifier and How Does it Work?...
- F Family and Home What does a newborn need?...
- F Family and Home Choosing the Right Car Seat for Your Child: Tips and Recommendations...
- F Food and Cooking How to Get Reconfirmation of Registration?...
Answers on questions: Mathematics
- M Mathematics Help please I m begging...
- H History How did world war 1 contribute to the events leading up to world war 2...
- A Arts d.w. griffith’s birth of a nation, one of the first and most celebrated in feature-length narrative films in history, is well-known for ....
- E English According to the text, how many adult offenders are on probation for felonies and misdemeanors in the United States?...
Ответ:
Since the calculated Z= -1.886 lies within the Z∝ = ± 1.96 we fail to reject our null hypothesis that population mean is 31.8 oz. and not 32 ounces. There is evidence that Mill Valley Brewery is cheating customers by under-filling their bottles.
Step-by-step explanation:
Let the null hypothesis be
H0 : u = 31.8 oz against Ha: u ≠ 31.8 oz two tailed test
For a two tailed test and alpha = 0.05 the z∝ = ± 1.96
The rejection region is Z ≥ ± 1.96
Here n = 50
sample mean = x= 31.8 oz
and sample standard deviation= s= 0.75
Population mean= u= 32
Test statistics to be used is
Z= x- u / s/ √n which is approximately normal
Z= 31.8-32/0.75/ √50
z= -1.886
Since the calculated Z= -1.886 lies within the Z∝ = ± 1.96 we fail to reject our null hypothesis that population mean is 31.8 oz. and not 32 ounces. There is evidence that Mill Valley Brewery is cheating customers by under-filling their bottles.
Ответ: