In: Statistics and Probability
Calculate and interpret the margin of error with the sample of 22, confidence 85% and the sample standard deviation 4.
ANSWER:
Given data,
Calculate and interpret the margin of error with the sample of 22, confidence 85% and the sample standard deviation 4.
Sample size = n = 22
Sample standard deviation = s = 4
c = 85% = 85/100 = 0.85
= 1-c = 1-0.85 = 0.15
/2 = 0.15/2 = 0.075
Degree of freedom = df = n-1 = 22-1 = 21
Critical value = = = 1.494194
Margin of Error :
ME = * (s/sqrt(n))
ME = 1.494194 * (4/sqrt(22))
ME =1.2742529
ME =1.2743 (Rounded to four decimal places)
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