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2.5.8 Hypothesis test for a single mean (A-level only)

2.5.8 Hypothesis test for a single mean (A-level only)

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Question 12

A company advertised phone batteries with a mean standby time of 235 hours.

A phone shop manager feels that the batteries have a standby time of less than 235 hours.

The manager conducts an experiment and collects the following summary statistics:

n=200∑x=46313∑x2=10861255 n = 200 \quad \sum x = 46313 \quad \sum x^2 = 10861255 n=200∑x=46313∑x2=10861255
a.

Find the mean and standard deviation of the sample.

[3]
b.

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

[5]
Markscheme

2.5.8 Hypothesis test for a single mean (A-level only) Questions

  1. A Level
  2. /Maths
  3. /2.5.8 Hypothesis test for a single mean (A-level only)

132 exam-style questions on OCR (MEI) A Level Maths 2.5.8 Hypothesis test for a single mean (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.

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