State the conditions under which the normal distribution may be used as an approximation to the binomial distribution.
A manufacturer of electric components claims that 45% of their batch of sensors are high-precision.
Explain why the company should not test every sensor produced to verify this claim.
To test the manufacturer's claim, a random sample of 300 sensors was tested.
State the hypotheses for a two-tailed test of the company’s claim.
Given that 150 of the 300 sensors were found to be high-precision,
use a normal approximation to test, at the 10% level of significance, whether or not the manufacturer's claim is justified.
Practise Edexcel A Level Maths Approximating a Binomial Distribution with exam-style questions for A Level Maths. 68 questions, matched to the Edexcel A Level Maths (9MA0) specification and written in Paper 1, Paper 2 and Paper 3 style. Every question includes a full worked solution and mark scheme, so you can see where marks are awarded rather than just whether you got the answer right.
