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16. The mean age of 25 randomly selected lawyers in southern Califomia was 47.5 with the standard deviation 6.5 years, (a) Find the critical value

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16. The mean age of 25 randomly selected lawyers in southern Califomia was 47.5 with the standard deviation 6.5 years, (a) Find the critical value Z (1/2 or tar/2 for 92% condence interval. Draw and Label. (b) Find the margin error for this condence interval. (c) Find the 92% condence interval for the mean age of all lawyers in southern California. ((1) Find the minimum sample size needed if we wish to be 99% condent and error to be within 5 years of the true mean age of all lawyers in southern California. Assume that 0' : 7.2 years. 14. In as survey of 350 adults, 25% of them admitted that they have driven while intoxicated. (a) Find x, the number of adults that have driven While intoxicated. (b) Find the margin of error for this condence interval. (c) Find the 95% condence interval for the proportion of all adult drivers that they have driven while intoxicated. Draw and Label. ((1) Find the minimum sample size needed if we Wish to be 99% condent and error to be within 5% of the true pr0portion of all adult drivers that they have driven while intoxicated

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