Out who contracted the flu to Show symptons was 4.14 days after exposure wit a Stundard deviation of 3.74 days Find the 99% confidence nterval for the true ean of Hme 4 wIll take to Shew symptens afte exposure of 286 confirmed cases. the time it took for people everage
Out who contracted the flu to Show symptons was 4.14 days after exposure wit a Stundard deviation of 3.74 days Find the 99% confidence nterval for the true ean of Hme 4 wIll take to Shew symptens afte exposure of 286 confirmed cases. the time it took for people everage
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Question
Transcribed Image Text:Out
who contracted the flu to Show symptons was 4.14 days after exposure wit a
Stundard deviation of 3.74 days Find the 99% confidence nterval for the true ean
of Hme 4 wIll take to Shew symptens afte exposure
of
286
confirmed cases.
the
time it took for people
everage
Expert Solution
Step 1
Given information-
Sample size, n = 286
Sample mean, x-bar = 4.14 days
Standard deviation, s = 3.76 days
Confidence interval = 99%
Significance level, α = 1-0.99 = 0.01
Therefore, degrees of freedom = 286 – 1 = 285.
Again, 100 (1 – α) % = 99% = 0.99.
Thus, α = 0.01.
From the Excel formula: =T.INV.2T (0.005, 285), tα/2; n – 1 = t0.005; 285 = 2.829.
Thus, the confidence interval is calculated as follows:
Confidence interval = (3.511, 4.7689)
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