The headmaster at a local school claims that the time students spend travelling from home

to school each day is normally distributed with an average of 40 minutes and a standard

deviation of 7 minutes. To test this claim, you take a random sample of 25 students from

the school revealed that the average time they travelled to school was 44 minutes.

Use this evidence to carry out an appropriate hypothesis test at 5% level of significance to

test the headmaster's claim that the average time spent travelling to the school is different

than 40 minutes.