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[answered] Bottles of a popular cola drink are supposed to contain 300


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2. Bottles of a popular cola drink are supposed

 

to contain 300 ml of cola. There is some

 

variation from bottle to bottle because the filling

 

machinery is not perfectly precise. The

 

distribution of the contents is normal with

 

standard deviation of 3 ml. A student who

 

suspects that the bottler is under-filling measures

 

the contents of six bottles. The results are:

 

299.4 297.7 301.0 298.9 300.2 297.0 4. A candidate for mayor claims that under the

 

present administration, 45% of complaints about

 

city government are not addressed within two

 

weeks of submission. A watchdog citizens?

 

group claims that the actual percentage is less

 

than 45%. The group conducted a SRS of 100

 

complaints submitted to the city government in

 

the last year and determined that only 40% of the

 

complaints were not addressed within two weeks

 

of submission. Do these data provide sufficient

 

evidence to reject the candidate?s claim at the

 

5% significance level?

 

5. Mars Inc. claims that they produce M&Ms

 

with the following distributions:

 

Brown 30% Red 20% Yellow 20%

 

Orange 10% Green 10% Blue 10%

 

A bag of M&Ms was randomly selected from the

 

grocery store shelf, and the color counts were:

 

Brown 14 Red 14 Yellow 5

 

Orange 7 Green 6 Blue 10

 

Conduct an appropriate test of the

 

manufacturer?s claim for the proportion of brown

 

M&Ms.

 


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