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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 12

A manufacturer of energy drinks claims that each can contains a mean caffeine content of 160 mg.

A nutritionist suspects that the caffeine content is actually lower than 160 mg.

The nutritionist tests a sample and records the following summary statistics:

n=150∑x=23745∑x2=3776363 n = 150 \quad \sum x = 23745 \quad \sum x^2 = 3776363 n=150∑x=23745∑x2=3776363
a.

Find the mean and standard deviation of the sample.

[3]
b.

Carry out a hypothesis test to test the nutritionist's claim at the 1% significance level. State your assumptions clearly.

[5]
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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