(B) A transport company wants to compare the fuel efficiencies of the two types of lorries it operates. It obtains data from samples of the two types of lorries, with the following results: \table[[Type,Average MPG,\table[[Standard],[deviation]],Sample size],[4,31.0,7.6,33],[8,32.2,5.8,40]] Test the hypothesis that there is no difference in fuel efficiency, using the
95%
4 confidence level. (3 marks) (C) Of a random sample of 148 accounting graduates, 75 rated a sense of humour as a very important trait to their career performance. This same view was held by 81 of an independent random sample of 178 finance graduates. i) Test, at the
5%
significance level, the null hypothesis that at least one-half of all finance majors rate a sense of humour as very important.