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1. The Hong Kong Health Authority obtained the following sample time data for completing a vacci- nation procedure (in minutes): Time (in minutes) Frequency

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1. The Hong Kong Health Authority obtained the following sample time data for completing a vacci- nation procedure (in minutes): Time (in minutes) Frequency 1- below 4 2 4- below 7 5 7- below 10 9 10 below 13 5 (a) Compute the mean and standard deviation of the time for completing the vaccination procedure. (b) Compute the median and mode time for completing the vaccination procedure. (c) Calculate the coefficient of variation and Pearson's 2nd coefficient of skewness and comment on the shape of the distribution. (7 marks) (6 marks) (6 marks) (d) Construct the 90% confidence interval for the population mean time of completing the vaccina- tion procedure. State any assumption(s) and/or approximation(s). (6 marks)

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