Question Hep 10.3.19 several years reported mean age of an imate on death row wa
ID: 3181717 • Letter: Q
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Question Hep 10.3.19 several years reported mean age of an imate on death row was 383 years. A sociologist wondered whether the mean age a deathrow a confidence then He iei 401wth a standard 102 Construct Quzzes & Tests internal about the mean ageof death ow inmates. What does the interval imply? Choose the comect hypotheses. t 383 Construct a 99% confidence interval about the mean age Statcrunch student ascending order Round to two decimal places as needed) Chapter Contents Tools for Success vi B. More Munimedia Library Enter your answer in the ed felds and then click Check Answer Ask me anything ta OExplanation / Answer
Confidence Interval
CI = x ± t a/2 * (sd/ Sqrt(n))
Where,
x = Mean
sd = Standard Deviation
a = 1 - (Confidence Level/100)
ta/2 = t-table value
CI = Confidence Interval
Mean(x)=40.1
Standard deviation( sd )=10.2
Sample Size(n)=37
Confidence Interval = [ 40.1 ± t a/2 ( 10.2/ Sqrt ( 37) ) ]
= [ 40.1 - 2.719 * (1.677) , 40.1 + 2.719 * (1.677) ]
= [ 35.541,44.659 ]
Interpretations:
1) We are 99% sure that the interval [35.541 , 44.659 ] contains the true population mean
2) If a large number of samples are collected, and a confidence interval is created
for each sample, 99% of these intervals will contains the true population mean
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