Your product line uses two types of powdered silica, A and B, which should be in
ID: 3181406 • Letter: Y
Question
Your product line uses two types of powdered silica, A and B, which should be in equal amounts.The data provides the proportion of A for a random sample within one production run. What is a 95% confidence interval for the true proportion of A?
0.527394 0.517302 0.530938 0.517745 0.500103 0.526921 0.519136 0.501692 0.517896 0.524392 0.511073 0.523525 0.526226 0.514605 0.531403 0.516346 0.524226 0.538843 0.517903 0.523973 0.513779 0.513233 0.512388 0.522274 0.521091 0.523494 0.5121 0.510535 0.513636 0.525608Explanation / Answer
X
0.527
0.517
0.531
0.518
0.5
0.527
0.519
0.502
0.518
0.524
0.511
0.524
0.526
0.515
0.531
0.516
0.524
0.539
0.518
0.524
0.514
0.513
0.512
0.522
0.521
0.523
0.512
0.511
0.514
0.526
Mean(X)
0.519
standard deviation(S)
0.008
standard error =S/(n)1/2
0.002
for 29 degree of freedom and 95% CI value of t= 2.0452
Confidence interval =sample mean -/+ t*standard error =0.5162 ; 0.5225
X
0.527
0.517
0.531
0.518
0.5
0.527
0.519
0.502
0.518
0.524
0.511
0.524
0.526
0.515
0.531
0.516
0.524
0.539
0.518
0.524
0.514
0.513
0.512
0.522
0.521
0.523
0.512
0.511
0.514
0.526
Mean(X)
0.519
standard deviation(S)
0.008
standard error =S/(n)1/2
0.002
for 29 degree of freedom and 95% CI value of t= 2.0452
Confidence interval =sample mean -/+ t*standard error =0.5162 ; 0.5225
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