Question

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A factory manager collected a sample of ten (10) packets of 3 -in-1 coffee and the weights (in grams) of each packet are recorded as follow.

\(\begin{array}{lllll}25 & 23 & 26 & 28 & 24 \\ 21 & 26 & 24 & 25 & 27\end{array}\)

Calculate

(a) the mean weight of a packet of 3 -in-1 coffee.

(b) the sample standard deviation of the data collected.

(c) find a \(90 \%\) confidence interval for the weights of the 3 -in- 1 coffee.

Answer 1

sol: Given data 25 26 24 26 24 25 27 Here x denote the the weight (in grams) of 3-in-1 we have data 10 samples coffee Now a) The Smaple mean 모 È di n ic! (249) 24.9 b) The deviation 1s sample standard S. ² Cap-z² ici + (27-24:9) 1 10-1 = [(25-24.9) + (23-24-9]{+ --- [ [ 36.97 - 1 2.025

c) TO construct the 90% CI d: 90/ 10.10 0.9 90%CT ã ă I tola nel alle fã-t/in بيع | ł + 2-1 + tolle in- 310 - 24.9 2.025 24.9 -1.833 * 10 24:9 +1.833 * 2.025 Vio 24.9 - 1.833 * 0.64 2419 +1.833 + 0.64] - (24-9-1:17, 24.9 +1.17] [23.73 , 26.07] ] 1

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