Skip to content

Course home

3.7 Hypothesis Testing with the Normal Distribution

3.7 Hypothesis Testing with the Normal Distribution

MediumHard
123456789101112131415161718192021222324252627282930313233343536373839404142434445464748495051525354555657585960616263646566676869707172737475767778798081828384858687888990
Question 65

The net weight of industrial chemical canisters, WWW kg, follows a normal distribution with an unknown mean μ\muμ and a known standard deviation σ\sigmaσ. A logistical analysis of a random sample of 100 canisters resulted in a 95% confidence interval for μ\muμ of (74.14,75.46)(74.14, 75.46)(74.14,75.46).

a.

Without performing any additional calculations, utilize this confidence interval to test the claim that μ=75.6\mu = 75.6μ=75.6. State the null and alternative hypotheses clearly and specify the significance level used for the test.

[3]
b.

A separate random sample of 144 canisters was found to have a mean weight of 74.8574.8574.85 kg.

Determine a 98% confidence interval for μ\muμ based on this second sample.

[6]
Markscheme

3.7 Hypothesis Testing with the Normal Distribution Questions

  1. A Level
  2. /Maths
  3. /3.7 Hypothesis Testing with the Normal Distribution

132 exam-style questions on Edexcel A Level Maths 3.7 Hypothesis Testing with the Normal Distribution. Each one has a worked solution and a mark scheme showing where the marks go.

Question bank