Skip to content
MathsGenie logo
Open app

Course home

  1. A Level
  2. Maths Edexcel
  3. Question bank

The Normal Distribution

EasyMediumHard
123456789101112131415161718192021222324252627282930313233343536373839404142434445464748495051525354555657585960616263646566676869707172737475767778798081828384858687888990919293949596979899100101102103104105106107108109110111112113114115116117118119120121122123124125126127128129130131132133134135136137138139140141142143144145146147148149150151152153154155156157158159160161162163164165166167168169170171172173174175176177178179180181182183184185186187188189190191192193194195196197198199200201202203204205206207208209210211212213214215216217218219220221222223224225226227228229230231232233234235236237238239240241242243244245246247248249250251252253254255256257258259260261262263264265266267268269270271272273274275276277278279280281282283284285286287288289290291292293294295296297298299300301302303304305306307308309310311312313314315316317
Question 63

A company advertised phone batteries with a mean standby time of 235 hours. A phone shop manager feels that the batteries have a standby time of less than 235 hours. The manager conducts an experiment and collects the following summary statistics:

n=200∑x=46313∑x2=10861255 n = 200 \quad \sum x = 46313 \quad \sum x^2 = 10861255 n=200∑x=46313∑x2=10861255
a.

Find the mean and standard deviation of the sample.

[3]
b.

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

[5]

The Normal Distribution Questions

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

Practise Edexcel A Level Maths The Normal Distribution with exam-style questions for A Level Maths. 439 questions, matched to the Edexcel A Level Maths (9MA0) specification and written in Paper 1, Paper 2 and Paper 3 style. Every question includes a full worked solution and mark scheme, so you can see where marks are awarded rather than just whether you got the answer right.

Question bank