Part 2: a) Your manufacturing division produces resistors with a nominal value of 22 k0, 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 (Kn) (i) 1 2 22.8 21.7 (0) 3 4 20.5 23.1 5 22.8 6 21.7 7 22.4 8 Two of the eight resistors exceed the tolerance. More than two of the eight resistors exceed the tolerance. 23.2 Calculate the mean resistance for these samples. Determine the standard deviation for the samples. Produce a Tally Chart showing the frequency of measured resistances. 9 21.7 10 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: 22.8

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.1: Measures Of Center
Problem 9PPS
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can you solve the problem showing all working and stages so i can understand it,thanks

Part 2:
a) Your manufacturing division produces resistors with a nominal value of 22 k0, 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
(k)
(1)
(ii)
(iii)
1
2
22.8 21.7
3
20.5
4
23.1
5
22.8
6
7
21.7 22.4
8
23.2
Calculate the mean resistance for these samples.
Determine the standard deviation for the samples.
Produce a Tally Chart showing the frequency of measured resistances.
(i)
Two of the eight resistors exceed the tolerance.
(ii) More than two of the eight resistors exceed the tolerance.
9
21.7
10
22.8
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:
Transcribed Image Text:Part 2: a) Your manufacturing division produces resistors with a nominal value of 22 k0, 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 (k) (1) (ii) (iii) 1 2 22.8 21.7 3 20.5 4 23.1 5 22.8 6 7 21.7 22.4 8 23.2 Calculate the mean resistance for these samples. Determine the standard deviation for the samples. Produce a Tally Chart showing the frequency of measured resistances. (i) Two of the eight resistors exceed the tolerance. (ii) More than two of the eight resistors exceed the tolerance. 9 21.7 10 22.8 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:
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Can part B be answered as well please?

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