5 The number of patients that a medic can inoculate with a vaccine in one day can be modelled by a normal distribution w

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5 The Number Of Patients That A Medic Can Inoculate With A Vaccine In One Day Can Be Modelled By A Normal Distribution W 1 (88.33 KiB) Viewed 73 times

5 The number of patients that a medic can inoculate with a vaccine in one day can be modelled by a normal distribution with mean 40 and standard deviation 8. The manufacturer of the vaccine claims that a new method of inoculation will speed up the rate at which the medic works. A random sample of 30 medics tried out the new method of inoculation and the average number of patients they dealt with per day X was recorded. a Using a 5% significance level, find the critical value of X. (4 marks) The average number of patients dealt with per day using the new method of inoculation was in fact 42. b Find the probability of making a Type II error. (2 marks)