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Determine the recommended sample size for each of the following surveys

1. Early December margin error of 0.02
2. Pre election day margin error of 0.01

QUESTION FOUR (a) A production department uses a sampling procedure to test the quality of newly produced items. The department employs the following decision rule at an inspection station: If a sample of 14 items has a variance of more than 0.005, the production line must be shut down for repairs. Suppose the following data have just been collected. 3.43 3.45 3.43 3.48 3.52 3.50 3.39 3.48 3.41 3.38 3.49 3.45 3.51 3.50 Required: Should the production line be shut down? Explain. (5 marks) (b) Nation Standard Newspaper poll for the year 2002 presidential campaign in Kenya sampled 491 potential voters in October 2002. A primary purpose of the poll was to obtain an estimate of the proportion of potential voters who favour each candidate. Closer to December 2002 elections, better precision and smaller margins for error were desired. Assume a planning value for the population proportion of p = 0.50 and that a 95% confidence level is desired. Required