For cách of the following exercises construct 90, 95, and 99 percent confidence intervals for the population mean, and state the practical and probabilistic interpretations of each. Indicate which mterpretation you think would be more appropriate to use when discussing confidence intervals with someone who has not had a course in statistics, and state the reason for your choice. Explain why the three intervals that you construct are not of equal width. Indicate which of the three intervals you would prefer to use as an estimate of the population mean and state the reason for your choice. 6.2.1 We wish to estimate the average number of heartbeats per minute for a certain population. The average number of heartbeats per minute for a sample of 49 subjects was found to be 90. Assume that these 49 patients constitute a random sample, and that the population is normally distributed with a standard deviation of 10. 6.2.2 We wish to estimate the mean serum indirect bilirubin level of 4-day-old infants. The mean for a sample of 16 infants was found to be 5.98 mg/100 cc. Assume that bilirubin levels in 4-day-old infants are approximately normally distributed with a standard deviation of 3.5 mg/100 c. 0.2.3 Some studies of Alzheimer's disease (AD) have shown an increase in 1ªCO, production in patients with the disease. In one such study the following “CO, values were obtained from 16 neocortical biopsy samples from AD patients. 14 1009 1280 1180 1255 1547 2352 1956 1080 1776 1767 1680 2050 1452 2857 3100 1621 Assume that the population of such values is normally distributed with a standard devia- tion of 350.
For cách of the following exercises construct 90, 95, and 99 percent confidence intervals for the population mean, and state the practical and probabilistic interpretations of each. Indicate which mterpretation you think would be more appropriate to use when discussing confidence intervals with someone who has not had a course in statistics, and state the reason for your choice. Explain why the three intervals that you construct are not of equal width. Indicate which of the three intervals you would prefer to use as an estimate of the population mean and state the reason for your choice. 6.2.1 We wish to estimate the average number of heartbeats per minute for a certain population. The average number of heartbeats per minute for a sample of 49 subjects was found to be 90. Assume that these 49 patients constitute a random sample, and that the population is normally distributed with a standard deviation of 10. 6.2.2 We wish to estimate the mean serum indirect bilirubin level of 4-day-old infants. The mean for a sample of 16 infants was found to be 5.98 mg/100 cc. Assume that bilirubin levels in 4-day-old infants are approximately normally distributed with a standard deviation of 3.5 mg/100 c. 0.2.3 Some studies of Alzheimer's disease (AD) have shown an increase in 1ªCO, production in patients with the disease. In one such study the following “CO, values were obtained from 16 neocortical biopsy samples from AD patients. 14 1009 1280 1180 1255 1547 2352 1956 1080 1776 1767 1680 2050 1452 2857 3100 1621 Assume that the population of such values is normally distributed with a standard devia- tion of 350.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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