Find the length of the confidence interval given

Answered question

2022-03-31

Find the length of the confidence interval given the following data 

 

S=3 n=275 confidence level 95 %

Answer & Explanation

user_27qwe

user_27qwe

Skilled2022-05-13Added 375 answers

Given:

Sample standard deviation (s) =3

Sample size (n)  =275

Confidence level =95%

 

Level of significance level (α)

=100-95

=5%

α=0.05

 

p-value

=[1-(α2)]

= [1-(0.052)]

= 0.975

 

From standard normal table:

Critical value z at 0.975 is 1.96

 

Error margin

 ={Zα2×[sn]×2}

={1.96×[3275]×2}

= 0.354577341×2

= 0.7092

 

Thus, the confidence interval is 0.7092

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