cgkiepe5759
21.04.2020 •
Mathematics
Weights of Elephants A sample of 7 adult elephants had an average weight of 11,647 pounds. The standard deviation for the sample was 24 pounds. Find the 95 % confidence interval of the population mean for the weights of adult elephants. Assume the variable is normally distributed. Round intermediate answers to at least three decimal places. Round your final answers to the nearest whole number.
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Ответ:
The 95 % confidence interval of the population mean for the weights of adult elephants
(11,629.375 , 11,664.625) up to three decimals
Nearest whole number
(11,629 , 11,665)
Step-by-step explanation:
Explanation:-
A sample of 7 adult elephants had an average weight of 11,647 pounds
size of the sample 'n' =7
The mean of the sample x⁻ = 11,647 pounds
The standard deviation of the sample 'S' = 24 pounds
Step(ii):-
The 95 % confidence interval of the population mean for the weights of adult elephants
The degrees of freedom γ =n-1 = 7-1=6
t₆ = 1.943
(11,647-17.625 , 11,647+17.625)
(11,629.375 , 11,664.625)
Conclusion:-
The 95 % confidence interval of the population mean for the weights of adult elephants
(11,629 , 11,665)
Ответ:
(3/4) x 4=3
6.15 / 3 = 2.05