HNC Maths U2 A1 2D
Can someone please help me with showing the graph i am stuck
d) The Quality Assurance Department is anxious to improve the nominal value of the resistors to ensure
more of them fall within the rated tolerance band. The manufacturing process is adjusted in an
attempt to bring about this improvement. Following the adjustment, a further sample of 100 resistors
is taken in order to determine if the adjustment has resulted in an improvement to the nominal value
of the resistors. Analysing this second sample, it is noted that the mean value is now 21.8kΩ, with a
standard deviation of 1kΩ.
By comparing these new results of the resistor values following the manufacturing adjustment, with
the values obtained in part (c) recorded before the adjustment, show whether or not you agree with
the hypothesis that the adjustment to the manufacturing process has had a beneficial effect by
making the resistor values closer to the desired manufactured nominal value of 22kΩ.
Illustrate your answer with a hand drawn sketch of the normal distribution, with shaded regions
representing the results of your analysis, which you can show to the Quality Assurance Manager
d) The Quality Assurance Department is anxious to improve the nominal value of the resistors to ensure
more of them fall within the rated tolerance band. The manufacturing process is adjusted in an
attempt to bring about this improvement. Following the adjustment, a further sample of 100 resistors
is taken in order to determine if the adjustment has resulted in an improvement to the nominal value
of the resistors. Analysing this second sample, it is noted that the mean value is now 21.8kΩ, with a
standard deviation of 1kΩ.
By comparing these new results of the resistor values following the manufacturing adjustment, with
the values obtained in part (c) recorded before the adjustment, show whether or not you agree with
the hypothesis that the adjustment to the manufacturing process has had a beneficial effect by
making the resistor values closer to the desired manufactured nominal value of 22kΩ.
Illustrate your answer with a hand drawn sketch of the normal distribution, with shaded regions
representing the results of your analysis, which you can show to the Quality Assurance Manager
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