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
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ISBN:9781119256830
Author:Amos Gilat
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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
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:

Statistics homework question answer, step 1, image 1

Statistics homework question answer, step 1, image 2

Confidence interval = (3.511, 4.7689)

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