Skip to content

Course home

4.5 Statistical distributions (A-level only)

4.5 Statistical distributions (A-level only)

EasyMediumHard
123456789101112131415161718192021222324252627282930313233343536373839404142434445464748495051525354555657585960616263646566676869707172737475767778798081828384858687888990919293949596979899100101102103104105106107108109110111112113114115116117118119120121122123124125126127128129130131132133134135136137138139140141142143144145146147148149150151152153154155156157158159160161162163164165166167168169170171172173174175176177178179180181182183184185186187188189190191192193194195196197198199200201202
Question 38

A food processing plant packs cereal into boxes with a targeted mean mass of 500 g.

A consumer protection agency claims that the boxes are being underfilled on average.

To investigate, they weigh a sample of boxes and find the following:

n=250∑x=124625∑x2=62145000 n = 250 \quad \sum x = 124625 \quad \sum x^2 = 62145000 n=250∑x=124625∑x2=62145000
a.

Find the mean and standard deviation of the sample.

[3]
b.

Carry out a hypothesis test to test the agency's claim at the 1% significance level. State your assumptions clearly.

[5]
Markscheme

4.5 Statistical distributions (A-level only) Questions

  1. A Level
  2. /Maths
  3. /4.5 Statistical distributions (A-level only)

284 exam-style questions on CCEA A Level Maths 4.5 Statistical distributions (A-level only), covering 4.5.1 Statistical distributions (A-level only) and 4.5.2 Statistical distributions (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.

Question bank