Q1 (a) A company has two factories, one in the UK and one in the Germany. There is a view that the German factory is mor

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Q1 (a) A company has two factories, one in the UK and one in the
Germany. There is a view that the German factory is more efficient
than the British one,
and to test this, a random sample is selected from each of the
factories.
The British sample consists of 20 workers who takes an average
of 25 minutes to complete a standard task. Their standard deviation
is five minutes. The German sample has 15 workers who take an
average of 20 minutes to complete the same task, and the sample has
a standard deviation of four minutes. Use an appropriate hypothesis
test, at the one percent level of significance to find if the
German workers are more efficient
(b) The National Stadium Karachi is considering expanding its
seating capacity and needs to know both the average number of
people who attend events there
and the variability in this number. The following are the
attendances (in thousands) at nine randomly selected sporting
events.
8.8 14.0 21.3 7.9 12.5 20.6 16.3 14.1 13.0
Construct a 95% confidence interval for the population mean.