Find the pooled estimate of the standard deviation if n_1 = 18, n_2 = 14, S_1= 3.3, and S_2= 2.5. (Write two decimal places)

Deanna Gregory

Deanna Gregory

Answered question

2022-09-27

Find the pooled estimate of the standard deviation if n1 = 18, n2 = 14, S1= 3.3, and S2= 2.5.
(Write two decimal places)

Answer & Explanation

cegukwt

cegukwt

Beginner2022-09-28Added 10 answers

The formula of the pooled standart deviation is
S = ( n 1 1 ) s 1 2 + ( n 2 1 ) s 2 2 n 1 + n 2 2
Obtain the pooled estimate of the standard deviation.
The pooled estimate of the standard deviation is obtained below as follows:
From the information, given that
s 1 = 3.3 , s 2 = 2.5
n 1 = 18 , n 2 = 14
The value of the pooled variance is obtained below:
=8.879333
The pooled standard deviation is,
s = S 2
2.98
Thus, the value of the people standart deviation is 2.98

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