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2.4 N: Statistical distributions

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Question 153
a.

State the conditions under which the normal distribution may be used as an approximation to the binomial distribution.

[1]
b.

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.

[1]
c.

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.

[1]
d.

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.

[5]
Markscheme

2.4 N: Statistical distributions Questions

  1. A Level
  2. /Maths
  3. /2.4 N: Statistical distributions

390 exam-style questions on AQA A Level Maths 2.4 N: Statistical distributions, covering 2.4.1 Discrete distributions and the binomial, 2.4.2 The Normal distribution (A-level only), and 2.4.3 Selecting an appropriate distribution (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.

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