Pulmonary Disease The data in the table below concern the mean triceps skin-fold thickness in a group of normal men and a group of men with chronic airflow limitation. Group Mean sd n 1.36 0.56 40 Normal Chronic airflow limitation 0.93 0.44 32 You can use the Distribution Calculators page in SALT to find percentiles to answer parts of this question. (a) What is the standard error of the mean for the normal group? (Round your answer to four decimal places.) What is the standard error of the mean for the chronic airflow limitation group? (Round your answer to four decimal places.)

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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The "Select" parts are both (Normal / Binomial / Poisson).

Pulmonary Disease
The data in the table below concern the mean triceps skin-fold thickness in a group of normal men and a group of men with chronic airflow limitation.
Mean
sd n
Group
Normal
1.36
0.56 40
Chronic airflow limitation 0.93 0.44 32
You can use the Distribution Calculators page in SALT to find percentiles to answer parts of this question.
(a)
What is the standard error of the mean for the normal group? (Round your answer to four decimal places.)
What is the standard error of the mean for the chronic airflow limitation group? (Round your answer to four decimal places.)
(b) Assume that the central-limit theorem is applicable. What does it mean in this context? (Round your answers to four decimal places.)
with
It means that the distribution of mean triceps skin-fold thickness from repeated samples of size 40 drawn from the population of normal men can be considered to be ---Select--- ✓
and variance =
It also means that the distribution of mean triceps skin-fold thickness from repeated samples of size 32 drawn from the population of men
with chronic airflow limitation can be considered to be ---Select--- with mean =
and variance =
mean =
(c)
Find the upper 1st percentile of a t distribution with 15 df. (Round your answer to two decimal places.)
(d) Find the lower 10th percentile of a t distribution with 29 df. (Round your answer to two decimal places.)
(e) Find the upper 2.5th percentile of a t distribution with 8 df. (Round your answer to two decimal places.)
Transcribed Image Text:Pulmonary Disease The data in the table below concern the mean triceps skin-fold thickness in a group of normal men and a group of men with chronic airflow limitation. Mean sd n Group Normal 1.36 0.56 40 Chronic airflow limitation 0.93 0.44 32 You can use the Distribution Calculators page in SALT to find percentiles to answer parts of this question. (a) What is the standard error of the mean for the normal group? (Round your answer to four decimal places.) What is the standard error of the mean for the chronic airflow limitation group? (Round your answer to four decimal places.) (b) Assume that the central-limit theorem is applicable. What does it mean in this context? (Round your answers to four decimal places.) with It means that the distribution of mean triceps skin-fold thickness from repeated samples of size 40 drawn from the population of normal men can be considered to be ---Select--- ✓ and variance = It also means that the distribution of mean triceps skin-fold thickness from repeated samples of size 32 drawn from the population of men with chronic airflow limitation can be considered to be ---Select--- with mean = and variance = mean = (c) Find the upper 1st percentile of a t distribution with 15 df. (Round your answer to two decimal places.) (d) Find the lower 10th percentile of a t distribution with 29 df. (Round your answer to two decimal places.) (e) Find the upper 2.5th percentile of a t distribution with 8 df. (Round your answer to two decimal places.)
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