Skip to content

Course home

2.5.3 Hypothesis test for a Normal mean (A-level only)

2.5.3 Hypothesis test for a Normal mean (A-level only)

MediumHard
1234567891011121314151617181920212223242526272829303132333435363738394041424344454647484950515253545556575859606162636465666768697071727374757677787980818283848586878889
Question 27

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

2.5.3 Hypothesis test for a Normal mean (A-level only) Questions

  1. A Level
  2. /Maths
  3. /2.5.3 Hypothesis test for a Normal mean (A-level only)

130 exam-style questions on AQA A Level Maths 2.5.3 Hypothesis test for a Normal mean (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.

Question bank