Skip to content

Course home

The Normal Distribution

The Normal Distribution

EasyMediumHard
123456789101112131415161718192021222324252627282930313233343536373839404142434445464748495051525354555657585960616263646566676869707172737475767778798081828384858687888990919293949596979899100101102103104105106107108109110111112113114115116117118119120121122123124125126127128129
Question 22

The weight of beans in a tin produced by company A is normally distributed with a mean of 420 g and a standard deviation of 3 g.

a.

Find the probability that a randomly selected tin of beans has a weight of less than 414 g.

[2]
b.

Write down the company's null and alternative hypothesis.

[1]
c.

A sample of 12 tins is taken and the mean weight is found to be 417 g. Carry out a test at the 1% significance level to see if there is evidence that the company is producing tins with a mean of less than 420 g.

[3]
Markscheme

The Normal Distribution Questions

  1. A Level
  2. /Maths
  3. /The Normal Distribution

616 exam-style questions on Edexcel A Level Maths The Normal Distribution, covering 3.1 The Normal Distribution, 3.2 Finding Probabilities for Normal Distributions, 3.3 The Inverse Normal Distribution Function, 3.4 The Standard Normal Distribution, 3.5 Finding the mean and standard deviation, 3.6 Approximating a Binomial Distribution, and 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