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4.5 Statistical distributions (A-level only)

4.5 Statistical distributions (A-level only)

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Question 5

A grocery delivery service claims that the time taken to complete a delivery follow a normal distribution with a mean of 40 minutes and a standard deviation of 6 minutes.

a.

Using this model, find the probability that a randomly selected delivery takes more than 50 minutes.

[1]
b.

A logistics manager believes that the mean delivery time is actually more than 40 minutes. The manager monitors a random sample of 36 deliveries and finds the average completion time is 42.5 minutes. Test the manager's belief at the 5% significance level. State your hypotheses clearly.

[4]
Markscheme

4.5 Statistical distributions (A-level only) Questions

  1. A Level
  2. /Maths
  3. /4.5 Statistical distributions (A-level only)

284 exam-style questions on CCEA A Level Maths 4.5 Statistical distributions (A-level only), covering 4.5.1 Statistical distributions (A-level only) and 4.5.2 Statistical distributions (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.

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