a) Your manufacturing division produces resistors with a nominal value of 22 kn, with a tolerance...

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a) Your manufacturing division produces resistors with a nominal value of 22 kn, with a tolerance of +/- 10%. A random sample of ten resistors was taken, and their value was measured by a colleague, to check that they remain within tolerance. The results are as follows: Sample Resistance () 1 2 3 4 5 6 8 9 10 22.8 21.7 20.5 23.1 22.8 21.7 22.4 23.2 21.7 22.8 (i) Calculate the mean resistance for these samples. (ii) Determine the standard deviation for the samples. (iii) Produce a Tally Chart showing the frequency of measured resistances. b) Further analysis of a larger sample of the resistors shows that 90% are within the allowable tolerance value. The remainder exceed the tolerance. You select eight resistors at random from the sample. Determine the probabilities that: (i) Two of the eight resistors exceed the tolerance. (ii) More than two of the eight resistors exceed the tolerance. a) Your manufacturing division produces resistors with a nominal value of 22 kn, with a tolerance of +/- 10%. A random sample of ten resistors was taken, and their value was measured by a colleague, to check that they remain within tolerance. The results are as follows: Sample Resistance () 1 2 3 4 5 6 8 9 10 22.8 21.7 20.5 23.1 22.8 21.7 22.4 23.2 21.7 22.8 (i) Calculate the mean resistance for these samples. (ii) Determine the standard deviation for the samples. (iii) Produce a Tally Chart showing the frequency of measured resistances. b) Further analysis of a larger sample of the resistors shows that 90% are within the allowable tolerance value. The remainder exceed the tolerance. You select eight resistors at random from the sample. Determine the probabilities that: (i) Two of the eight resistors exceed the tolerance. (ii) More than two of the eight resistors exceed the tolerance.

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a To calculate the mean resistance and standard deviation for the sample resistors and produce a Tally Chart showing the frequency of measured resistances we can follow the steps below Sample Resistan... View the full answer