Skip to content

Course home

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

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

MediumHard
123456789101112131415161718192021222324252627282930313233343536373839404142434445464748495051525354555657585960616263646566676869707172737475767778798081828384858687888990
Question 53

The concentration of a catalytic agent used in a batch manufacturing process is modeled by a normal distribution with a mean of 145.0145.0145.0 ppm and a standard deviation of 12.412.412.4 ppm. A quality control technician suspects that a change in raw material sourcing has led to a reduction in the mean concentration. A random sample of 505050 batches is analyzed, and the sample mean concentration is found to be 141.2141.2141.2 ppm.

Carry out a hypothesis test at the 2%2\%2% significance level to investigate the technician's suspicion.

[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.

Question bank