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4.6 Statistical hypothesis testing (A-level only)

4.6 Statistical hypothesis testing (A-level only)

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Question 107

A precision automated nozzle dispenses a volume VVV ml of a chemical reagent, where VVV is modeled as a continuous random variable uniformly distributed on the interval [k−1.5,k+4.5][k - 1.5, k + 4.5][k−1.5,k+4.5], where kkk is a calibration constant.

A quality control audit takes a random sample of 80 dispensations, yielding a sample mean volume of vˉ=42.6\bar{v} = 42.6vˉ=42.6 ml.

a.

Use the Central Limit Theorem to determine an approximate distribution for the sample mean volume Vˉ\bar{V}Vˉ.

[3]
b.

Hence, find a 98% confidence interval for kkk. Give the limits of your interval to 3 significant figures.

[4]
Markscheme

4.6 Statistical hypothesis testing (A-level only) Questions

  1. A Level
  2. /Maths
  3. /4.6 Statistical hypothesis testing (A-level only)

209 exam-style questions on CCEA A Level Maths 4.6 Statistical hypothesis testing (A-level only), covering 4.6.1 Statistical hypothesis testing (A-level only), 4.6.2 Statistical hypothesis testing (A-level only), 4.6.3 Statistical hypothesis testing (A-level only), 4.6.4 Statistical hypothesis testing (A-level only), and 4.6.5 Statistical hypothesis testing (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.

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