City Guilds Model Questions Vol1 2019 Engineering Question 24

Practice objective / multiple choice question 24 from the 2019 City Guilds Model Questions Vol1 Engineering examination.

City Guilds Model Questions Vol1 2019 Engineering Objective / Multiple Choice Hard Difficulty
Question 24 CITY_GUILDS_MODEL_QUESTIONS_VOL1 • 2019 • ENGINEERING • objective

A digital caliper has a systematic error of \(+0.02\) mm and a random error with standard deviation \(0.01\) mm. Nine successive measurements of a metal block give the following readings (mm): 100.12, 100.15, 100.09, 100.13, 100.11, 100.14, 100.10, 100.16, 100.08. (a) Determine the best estimate of the true length of the block and the 95 % confidence interval, taking both error sources into account. (b) The specification requires the length to be \(100.10\) mm \(\pm0.05\) mm. State whether the block meets the specification.

Answer Options

A. True length 100.10 mm; 95 % CI (100.060 mm, 100.140 mm); meets specification
B. True length 100.10 mm; 95 % CI (100.079 mm, 100.121 mm); does not meet specification
Correct Answer C. True length 100.10 mm; 95 % CI (100.079 mm, 100.121 mm); meets specification
D. True length 100.12 mm; 95 % CI (100.085 mm, 100.135 mm); meets specification
Correct Answer
C
Correct Option:
True length 100.10 mm; 95 % CI (100.079 mm, 100.121 mm); meets specification

About This Question

This is City Guilds Model Questions Vol1 2019 Engineering Question 24. It is one of the objective questions from the 2019 City Guilds Model Questions Vol1 Engineering examination.

Difficulty level: Hard .

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