Skip to content
MathsGenie logo
Quick links
Open app

Course home

  1. A Level
  3. Maths OCR
  5. Question bank

2.5.5 Hypothesis test for the mean of a normal distribution (A-level only)

MediumHard
12345678910111213141516171819202122232425262728293031323334353637383940414243444546474849505152535455565758596061626364656667
Question 12

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]

2.5.5 Hypothesis test for the mean of a normal distribution (A-level only) Questions

  1. A Level
  2. /Maths
  3. /2.5.5 Hypothesis test for the mean of a normal distribution (A-level only)