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The CEO of Company A is estimating the rate of absentees in a day among the 325 offices under the company, a sample of 10

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The CEO of Company A is estimating the rate of absentees in a day among the 325 offices under the company, a sample of 10 offices was drawn with SRSWOR. The number of absentees in a randomly selected day and the number of employees are partially listed in the table with summaries provided below. Office (i) 1 2 10 Number of absentees (v) 9 7 2 ... Number of workers (x) 95 79 ... 53 = 59, x = 721, ' = 437,' = 65983, = 5107 , = (a) Estimate the rate of absentee (ratio), calculate its standard error and a conservative error bound with 95% confidence. Correct your answers to 4 decimal places. (8 marks) (b) If the total number of employees of Company A is 10000, using the results in (a) to estimate the total number of absentees in a day and find its standard error. Correct your answers to the nearest integer. (4 marks) (c) Estimate the total number of absentees in a day of Company A using the standard method under SRSWOR and find its standard error. Correct your answer to the nearest integer. (6 marks) (d) Suggest a reason of having the difference in the degree of precision when the population total number of absentees in day is estimated N17 (2 marks) The CEO of Company A is estimating the rate of absentees in a day among the 325 offices under the company, a sample of 10 offices was drawn with SRSWOR. The number of absentees in a randomly selected day and the number of employees are partially listed in the table with summaries provided below. Office (i) 1 2 10 Number of absentees (v) 9 7 2 ... Number of workers (x) 95 79 ... 53 = 59, x = 721, ' = 437,' = 65983, = 5107 , = (a) Estimate the rate of absentee (ratio), calculate its standard error and a conservative error bound with 95% confidence. Correct your answers to 4 decimal places. (8 marks) (b) If the total number of employees of Company A is 10000, using the results in (a) to estimate the total number of absentees in a day and find its standard error. Correct your answers to the nearest integer. (4 marks) (c) Estimate the total number of absentees in a day of Company A using the standard method under SRSWOR and find its standard error. Correct your answer to the nearest integer. (6 marks) (d) Suggest a reason of having the difference in the degree of precision when the population total number of absentees in day is estimated N17 (2 marks)

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