In: Statistics and Probability
data
89.30 82.70 88.30
71.10 83.70
78.20 79.70 80.20
81.80 89.80
78.00 87.00 82.70
86.60 89.70
88.00 83.80 83.00
87.20 86.00
82.70 91.00 88.30
84.20 89.10
79.10 86.50 85.80
82.60 86.90
87.90 89.70 89.10
76.70 79.40
86.90 78.10 80.90
86.60 89.40
82.30 86.90 88.90
84.10 88.60
80.60 87.70 90.50
83.60 86.20
margin of error and confidence interval are in lower and upper column
alpha = 1- confidence level
hence below are 80%,95% and 99% CI
Xbar +- margin of error
margin of error = t * sd/sqrt(n)
where t = t.inv.2t(alpha,df)
df =n-1
= 49
for 90%