A cohort of hemophiliacs is followed to elicit information on the distribution of time to onset of AIDS following seroconversion (referred to as latency time). All patients who seroconvert become symptomatic within 10 years, according to the distribution available in SALT. USE SALT (a) Consider the following questions. (Enter your answers using interval notation. Round your numerical values to three decimal places.) Assuming an underlying normal distribution, compute a 95% CI for the mean of the latency times. (5.031,5.469) x Assuming an underlying normal distribution, compute a 95% CI for the variance of the latency times. (3.118,4.318) (b) Still assuming normality, estimate the probability p that a patient's latency time will be at least 8 years. (Round your answer to four decimal places.) 0.0749 (c) Now suppose we are unwilling to assume a normal distribution for latency time. Re-estimate the probability p that a patient's latency time will be at least 8 years, and provide a 95% CI for p. (Enter your answer using interval notation. Round your numerical values to four decimal places.) (0,0.2623)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section: Chapter Questions
Problem 22SGR
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The data is as follows: 2 0's, 6 1's, 10 2's, 32 3's, 50 4's, 69 5's, 50 6's, 38 7's, 19 8's, 12 9's, and 4 10's. The mean came out to be 5.25, as I calculated, and z-score of 1.96 for critical value. Not sure what I'm doing wrong but the answer in the image as well as (5.045,5.455) are incorrect for Part A. I also need the last part at the bottom.

Infectious Disease
A cohort of hemophiliacs is followed to elicit information on the distribution of time to onset of AIDS following seroconversion (referred to as latency time). All patients who seroconvert become
symptomatic within 10 years, according to the distribution available in SALT.
USE SALT
(a) Consider the following questions. (Enter your answers using interval notation. Round your numerical values to three decimal places.)
Assuming an underlying normal distribution, compute a 95% CI for the mean of the latency times.
(5.031,5.469)
X
Assuming an underlying normal distribution, compute a 95% CI for the variance of the latency times.
(3.118,4.318)
(b) Still assuming normality, estimate the probability p that a patient's latency time will be at least 8 years. (Round your answer to four decimal places.)
0.0749
(c) Now suppose we are unwilling to assume a normal distribution for latency time. Re-estimate the probability p that a patient's latency time will be at least 8 years, and provide a 95% CI for p.
(Enter your answer using interval notation. Round your numerical values to four decimal places.)
(0,0.2623)
Transcribed Image Text:Infectious Disease A cohort of hemophiliacs is followed to elicit information on the distribution of time to onset of AIDS following seroconversion (referred to as latency time). All patients who seroconvert become symptomatic within 10 years, according to the distribution available in SALT. USE SALT (a) Consider the following questions. (Enter your answers using interval notation. Round your numerical values to three decimal places.) Assuming an underlying normal distribution, compute a 95% CI for the mean of the latency times. (5.031,5.469) X Assuming an underlying normal distribution, compute a 95% CI for the variance of the latency times. (3.118,4.318) (b) Still assuming normality, estimate the probability p that a patient's latency time will be at least 8 years. (Round your answer to four decimal places.) 0.0749 (c) Now suppose we are unwilling to assume a normal distribution for latency time. Re-estimate the probability p that a patient's latency time will be at least 8 years, and provide a 95% CI for p. (Enter your answer using interval notation. Round your numerical values to four decimal places.) (0,0.2623)
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