all Three WiFi Call 11:40 97% Z Done Further Statistics 1.pdf Age a years a 60 19 3 (a) Write down suitable hypotheses for a test of the manager's belief. (1) The manager calculated expected frequencies to use in the test. (b) Calculate the expected frequency of members aged 60 or over who choose snooker, used by the manager. (1) The test statistic used to test the manger's belief is 19.583 (c) Using a 5% level of significance, complete the test of the manager's belief. (2) 2. A spinner used for a game is designed to give scores with the following probabilities: Score 2 Probability 3 10 10 10 10 The spinner is spun 80 times, and the results are as follows: Score 2 3 Frequency 15 Test, at 10% level of significance, whether or not the spinner is giving scores as it is designed to do. Show your working and state your hypotheses clearly. (7) Finham Park School End of Year Assessment: Further Statistics 1 3. Andrea's secretary makes random errors in his work at an average rate of 1.7 errors every 100 words. (a) Find the probability that the secretary makes fewer than 2 errors in the next 100-word piece of work. Andrea asks the secretary to produce a 250-word article for a magazine. (2) (b) Find the probability that there are exactly 5 errors in this article. (2) Andrew offers the secretary a choice of one of two bonus schemes, based on a random sample of