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2.5 Statistical Hypothesis Testing

2.5 Statistical Hypothesis Testing

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Question 58

The daily commute time for employees at a tech firm is normally distributed with a mean of 45 minutes and a standard deviation of 6 minutes.

a.

Find the probability of a commute taking longer than 58 minutes.

[2]
b.

Write down a null and alternative hypothesis for a two-tailed test.

[1]
c.

A survey of 12 randomly selected employees finds a mean commute time of 49.5 minutes. Test at the 10% significance level whether there is evidence that the mean commute time has changed.

[3]
Markscheme

2.5 Statistical Hypothesis Testing Questions

  1. A Level
  2. /Maths
  3. /2.5 Statistical Hypothesis Testing

355 exam-style questions on OCR (MEI) A Level Maths 2.5 Statistical Hypothesis Testing, covering 2.5.1 Process and language of hypothesis testing, 2.5.2 When to apply 1-tail and 2-tail tests, 2.5.3 Significance level and incorrect rejection, 2.5.4 Null and alternative hypotheses (binomial), 2.5.5 Conduct a binomial hypothesis test, 2.5.6 Critical and acceptance regions (binomial), 2.5.7 Distribution of the sample mean (A-level only), 2.5.8 Hypothesis test for a single mean (A-level only), 2.5.9 Critical and acceptance regions (mean) (A-level only), 2.5.10 Correlation as closeness to a straight line (A-level only), 2.5.11 Inference using a correlation coefficient (A-level only), and 2.5 Statistical Hypothesis Testing. Each one has a worked solution and a mark scheme showing where the marks go.

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