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4. Suppose we are interested in the distribution of household visits made by physicians in a community over a specified year. The 25 physicians in the community are labeled from 1 to 25, and the number of visits made by each physician is shown in the following table. Physician No. of Visits Physician No. of Visits WN 25 12 TB T25 c. Suppose a simple random sample of 6 physicians is selected: namely physicians labeled 3, 6, 8, 14, 17, 24. Using this sample data: Estimate the mean number Y of household visits made by physicians in the population, and construct a 95% confidence interval the mean. ii. Estimate the total number Y of household visits made by the physicians in the population, and construct a 95% confidence interval for Y. iii. Estimate the proportion of physicians in the population making two or more household visits per year. Construct a 95% confidence interval for this proportion.

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