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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 75

The response times of two distinct cloud-based microservices, Alpha and Beta, were recorded under peak load conditions. A random sample of 80 requests to Service Alpha resulted in a mean response time of 242 ms with a standard deviation of 32 ms. A separate random sample of 120 requests to Service Beta resulted in a mean response time of 251 ms with a standard deviation of 45 ms.

a.

Test, at the 1% significance level, whether there is evidence that the mean response time of Service Alpha is less than the mean response time of Service Beta. State your hypotheses clearly.

[5]
b.

State two assumptions required for the validity of the test in part (a).

[2]
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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