Done in excel (show formulas used) 5.Your product line uses two types of powdere

Question

Done in excel (show formulas used)
5.Your product line uses two types of powdered silica, A and B, which should be in equal amounts. The Data (after question) 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 0.525608

Explanation / Answer

fro 29 degree of freedom and 95% CI value of t= 2.0452

hence confidence interval =sample mean -/+ t*std error =0.5162 ; 0.5225

X 0.527 0.517 0.531 0.518 0.500 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 std deviation(S) 0.008 std error =S/(n)1/2 0.002

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