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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
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