igotdiss2178
18.11.2020 •
Mathematics
Noise levels at 3 airports were measured in decibels yielding the following data:
108,146,160
Required:
a. Construct the 90% confidence interval for the mean noise level at such locations. Assume the population is approximately normal.
b. Find the critical value that should be used in constructing the confidence interval. Round your answer to three decimal places.
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Ответ:
a) The 90% confidence interval for the mean noise level at such locations
(112.46 , 163.54)
b) The critical value that should be used in constructing the confidence interval
Z₀.₁₀ = 1.645
Step-by-step explanation:
Step(i) :-
Noise levels at 3 airports were measured in decibels yielding the following data
108 146 160
Mean of given data
x : 108 146 160
x-x⁻ : -30 8 22
(x-x⁻ )² : 900 64 484
Variance σ ² = ∑(x-x⁻ )²/ n-1
=
Standard deviation
σ = √724 = 26.90
Step(ii):-
The 90% confidence interval for the mean noise level at such locations
The critical value that should be used in constructing the confidence interval
Z₀.₁₀ = 1.645
( 138 - 25.54 , 138 + 25.54 )
(112.46 , 163.54)
Ответ:
answer:
12000
step-by-step explanation: