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QUESTION FIVE (20 MARKS) a) The marks obtained in a Business Statistics CAT are normally distributed with mean of 23and standard deviation of 4.2. Find the probability that a randomly selected student scores: (i) More than 25 marks (ii) Between 20 and25 marks (iii) Less than the mean mark? (2 Marks) (3 Marks) (3 Marks) b) Differentiate between the following terms as used in Hypothesis testing (i) Null and alternative hypothesis (ii) One tailed and two tailed tests (ii) Type I and type II errors (iii) Acceptance and rejection regions Marks) Marks) Marks) (3 Marks) (3 (3 (3

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