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A work sampling study is to be performed on an insurance office staff consisting of 15 persons to see how much time they spend processing claims. The duration of the study is 20 days, 8 hours per day. Processing claims is only one of the activities done by the staff members. The office manager estimates that the proportion of time processing claims is 0.20. (a) At the 95% confidence level, how many observations are required if the upper and lower confidence limits are 0.16 and 0.24? (b) Regardless of your answer to (a), assume that a total of 1200 observations were taken, and staff members were processing claims in 300 of those observations. Construct a 98% confidence interval for the true proportion of time processing claims. (c) Records for the period of the study indicate that 335 claims were processed. Estimate the average time per claim processed. (d) Determine a standard for processing claims, but express the standard in terms of the number of claims processed per day (8 hr) per person. Assume a 100% performance rating and that no allowance factor is to be included in the standard. P- Note: Recall that Z=- is normally distributed with N(0,1) where p is the sample mean of the pain proportion of interest