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Instructions Answer each problem by including your solutions below. Be sure to answer each part of each question. 1) Over the past several months, an adult patient has been treated for tetany (sever muscle spasms]. The condition is associated with an average total calcium level below 6 mgfdl. Recently the patient's total calcium level tests gave the following readings (in mgfdl): 9.3 8.8 18.1 8.9 9.4 9.8 18.0 9.9 11.2 12.1 Construct and interpret a 99% condence interval for the population mean of total calcium in this patient's blood- Does it appear as though this patient still has a calcium deciency? 2) A physician would like to know the mean fasting blood glucose value (milligrams per 101} ml} of patients seen in a diabetes clinic over the past 11] years. Determine the number of records the physician should examine in order to obtain a 90% condence interval for ,a if the desired width of the interval is 6 units and a pilot sample yields a variance of 61}. 3} In a study by von mm 136 subjects with syncope or near syncope were studied. Syncope is the temporary loss of consciousness due to a sudden decline in blood flow to the brain. Of these subjects, 7'5 also reported having cardiovascular disease. Construct and interpret a 90% confidence interval for the population proportion of subjects with syncope or near syncope who also have cardiovascular disease. 4) A survey is planned to determine what proportion of the high-school students in a metropolitan school system have regularly smoked marijuana. If no estimate of p is available from previous studies, a pilot sample cannot be drawn, a condence coefcient of .95 is desired, and E = [1.04 is to be used, determine the appropriate sample size. What sample size would be required if 99% condence were desired? 5} Determinations of saliva pH levels were made in two independent random samples of seventhgrade schoolchildren. Sample A children were cariesfree while sample B children had a high incidence of caries. The results were as follows: EI________- Construct and interpret a 90% confidence interval for the difference between the population means. 6} Horwitz et a1. studied 63? persons who were identified by court records from 196? to 1971 as having experienced abuse or neglect. For a control group, they located 5\"} subjects who as children attended the same elementary school and lived within a veblock radius of those in the abusedfneglected group. in the abusede'neglected group, and control group, 114 and 57 subjects, respectively, had developed antisocial personality disorders over their lifetimes. Construct and interpret a 95% confidence interval for the difference between the proportions of subjects developing antisocial personality disorders one might expect to find in the populations of subjects from which the subjects of this study may be presumed to have been drawn
