120MP                Tutorial Sheet Answers              Week 5
DATA COLLECTION
     1) a) Nominal
        b) Discrete
        c) Ordinal,
        d) Continuous
        e) Continuous
        f) Ordinal
     2) a) Restaurant name
        b) Hygiene Rating
        c) Number of employees
        d) Annual turnover
        or similar
     3) a) Obtain a numbered membership list. Use a random number generator to select
        100 people from the list. Random, so likely to be representative. They will be all over
        the country so due to cost it would probably use telephone/letter/email. Not face to
        face so response rate and quality of data may not be as high
        b) Use the membership list again. Randomly generate a number between 1 and 80
        as the starting point, then select every 80th member in the list after that. Not really
        any advantage over simple random sampling here (unless the list is ordered
        alphabetically say, and you thought that you think you need a spread of different
        lettered surnames to truly represent the student population)
        c) Aim is to save cost. No obvious saving if survey is by mail or phone. If face to
        face interviews then randomly select a postcode and choose 100 members in that or
        adjacent post code. This may not be truly representative of the whole country.
        d) Select a random sample of 75 males from the 6000, and a random sample of 25
        females from the 2000. This would reflect the gender split in the population. Useful if
        you think that the genders may give different answers from each other.
                                                                                PTO
TABLES
   1)                                     Car Owner
                                           No     Yes
                    Burger King           22%    78%          100%
             Last   KFC                   40%    60%          100%
          Purchased McDonalds             39%    61%          100%
                    Pizza Hut             30%    70%          100%
                    Other                 40%    60%          100%
                                          37%    64%          100%
                                           Car Owner
                                           No   Yes
                     Burger
                                          8%         17%      14%
                     King
              Last   KFC                   16%    13%          14%
           Purchased
                     McDonalds             61%    56%          58%
                     Pizza Hut              2%     3%          3%
                     Other                 13%    11%          12%
                                          100%    100%        100%
    Not accurate because data was only from students, not all users
    Not useful because most had a car, wherever they ate. (64% owned a car overall)
    Better eg’ ‘McDonalds was the restaurant visited most, with 58% of the students surveyed
    having purchased their last takeaway there.’ ‘The restaurant with the highest car ownership
    amongst student was Burger King, with 78% of student customers owning a car’.
   2)
                                                     Favourite Ice cream
                                Vanilla    Strawberry      Chocolate   Other      None
            Warwickshire         14%           22%           29%           19%    16%       100%
            Leicestershire       16%           15%           31%            9%    29%       100%
  County
            Worcestershire       22%           27%           12%           22%    18%       100%
            Northamptonshire     27%           11%           34%           9%     18%       100%
                                 21%           18%           27%           14%    21%       100%
                                                   Favourite Ice cream
                               Vanilla     Strawberry Chocolate       Other      None
           Warwickshire         13%            22%         19%         25%        14%     18%
           Leicestershire       19%            21%         29%         17%        36%     25%
 County
           Worcestershire       26%            37%         11%         38%        22%     24%
           Northamptonshire     42%            21%         41%         21%        28%     32%
                               100%           100%        100%        100%       100%    100%
Chocolate was the most popular flavour overall with 27% of respondents saying it was their
favourite.
However in Worcestershire it was the least favourite of the 3 choices with only 12% selecting it.
29% of those surveyed in Leicestershire inferred that they didn’t like ice cream!