means s.d. Operator A 4.93 4.81 4.76 4.68 4.95 Operator B 5.09 4.934.954.91 5.01
ID: 3310645 • Letter: M
Question
means s.d. Operator A 4.93 4.81 4.76 4.68 4.95 Operator B 5.09 4.934.954.91 5.01 x, =4.826 | Si =0.1141 X4978s2-0.0729 -4.978 DO NOT round any calculations until your final answer. Round all your final answers (parts (a)-(f)) to the nearest thousandth, that is, three decimal places. (a) Give a 90% upper confidence bound for the mean running time of fuses of this kind associated with Operator A. upper confidence bound = (3 decimal places) (b) Give a 90% lower prediction bound for a single additional running time of fuses of this kind associated with Operator A. lower prediction bound = (3 decimal places)Explanation / Answer
Here we are not calculating the confidence interval. Instead we are calculating the one sided bounds for Operator A.
Given : x = 4.826, s = 0.1141 , n = 5, = 0.1
Since population standard deviation is unknown, the tcritical (1 tail) for = 0.1, for df = n -1 = 4, is 1.533
The Upper Confidence Bound is given by x + tcritical * s/Sqrt(n),
= 4.826 + 1.533 * 0.1141/Sqrt(5) = 4.904
The Upper Confidence Bound is given by x - tcritical * s/Sqrt(n),
= 4.826 - 1.533 * 0.1141/Sqrt(5) = 4.748
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