Noise levels at 5 volcanoes were measured in decibels yielding the following data:
108,133,140,129,136
Construct the 98% confidence interval for the mean noise level at such locations. Assume the population is approximately normal.
Step 3 of 4: Find the critical value that should be used in constructing the confidence interval. Round your answer to three decimal places.
Step 4 of 4: Construct the 98% confidence interval. Round your answer to one decimal place.
Solution :
From the given data ,
n = 5
s = 12.5
= 646 / 5 = 129.2
t /2,df = 3.747
Margin of error = E = t/2,df * (s /n)
= 3.747 * (12.5 / 5)
Margin of error = E = 20.9
The 98% confidence interval estimate of the population mean is,
- E < < + E
129.2 - 20.9 < < 129.2 + 20.9
108.3 < < 150.1
(108.3 , 150.1)
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