A whisky distillery sells bottles of whisky with declared contents of 750 ml. The 1979 Weights and Measures Act stipulates that: Tutorial Q1.5 Condition (i) requires : (i) the average contents must exceed 750 ml (ii) no more than 2½ % of output must contain less than 735 ml (iii) no bottles must contain less than 720 ml The distillery buys new bottling machinery with a standard deviation of 10 ml. The mean volume dispensed can be adjusted. What volume should the mean be set at? Condition (ii) requires : 750 < μ 735 +1.96 0 < μl ⇒ >754.6 Condition (iii) is less specifically defined in the context of a normal distribution. To be on the safe side: 720 + 46 < μ → μ>760

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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A whisky distillery sells bottles of whisky with declared contents of 750 ml. The 1979 Weights and
Measures Act stipulates that:
Tutorial Q1.5
Condition (i) requires :
(i) the average contents must exceed 750 ml
(ii) no more than 2½ % of output must contain less than 735 ml
(iii) no bottles must contain less than 720 ml
The distillery buys new bottling machinery with a standard deviation of 10 ml. The mean volume
dispensed can be adjusted. What volume should the mean be set at?
Condition (ii) requires :
750 < μ
735 +1.96 0 < μl ⇒
>754.6
Condition (iii) is less specifically defined in the context of a normal distribution.
To be on the safe side:
720 + 46 < μ → μ>760
Transcribed Image Text:A whisky distillery sells bottles of whisky with declared contents of 750 ml. The 1979 Weights and Measures Act stipulates that: Tutorial Q1.5 Condition (i) requires : (i) the average contents must exceed 750 ml (ii) no more than 2½ % of output must contain less than 735 ml (iii) no bottles must contain less than 720 ml The distillery buys new bottling machinery with a standard deviation of 10 ml. The mean volume dispensed can be adjusted. What volume should the mean be set at? Condition (ii) requires : 750 < μ 735 +1.96 0 < μl ⇒ >754.6 Condition (iii) is less specifically defined in the context of a normal distribution. To be on the safe side: 720 + 46 < μ → μ>760
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