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 95% CI for the mean of the latency times. Assuming an underlying normal distribution, compute a 95% CI for the variance of the latency times. (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.) (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.)

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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.

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.
Assuming an underlying normal distribution, compute a 95% CI for the variance of the latency times.
(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.)
(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.)
Transcribed Image Text: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. Assuming an underlying normal distribution, compute a 95% CI for the variance of the latency times. (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.) (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.)
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