Question 1 The following table shows the number of shirts by sizes that are manufactured in a factory on a particular week: Extra small Small Medium Large Extra Large 390 470 520 680 440 a) It was discovered that the sizing of some shirts was labelled incorrectly. (i) Give two reasons why it would be necessary to examine a sample of the shirts produced rather than examine the entire weekly production. (ii) State two differences between a cluster sample and a stratified random sample in this situation.
Question 1
The following table shows the number of shirts by sizes that are manufactured in a factory on a
particular week:
Extra small Small Medium Large Extra Large
390 470 520 680 440
a) It was discovered that the sizing of some shirts was labelled incorrectly.
(i) Give two reasons why it would be necessary to examine a sample of the shirts produced
rather than examine the entire weekly production.
(ii) State two differences between a cluster sample and a stratified random sample in this
situation.
(iii) Using the stratified random sampling technique, calculate the number of medium shirts
that will be selected if we require a sample of 375 shirts.
(iv)State one advantage of using stratified random method for collecting this sample.
b) Determine the level of measurement that describes the following
(i) The size of the shirt that a customer purchase
(ii) The total amount paid by the customer
(iii) The address of the factory that manufactures the shirts
c) A machine packages shirt in bags with a mean weight of 3 kg. A random sample of 20 bags
has a mean weight of 3.05 kg with a standard deviation of 0.05kg, From the data given, state the
value of a
(i) parameter
(ii) statistic
Trending now
This is a popular solution!
Step by step
Solved in 2 steps
