Done a stats question, need to know what paper it came from.

Do you have an answer to the last part (d)? Please let meknow

A health centre claims that the time a doctor spends with a patient can be modelled by a
normal distribution with a mean of 10 minutes and a standard deviation of 4 minutes.

(a) Using this model, find the probability that the time spent with a randomly selected
patient is more than 15 minutes.
(1)

Some patients complain that the mean time the doctor spends with a patient is more than
10 minutes.

The receptionist takes a random sample of 20 patients and finds that the mean time the
doctor spends with a patient is 11.5 minutes.

(b) Stating your hypotheses clearly and using a 5% significance level, test whether or
not there is evidence to support the patients’ complaint.
(4)

The health centre also claims that the time a dentist spends with a patient during
a routine appointment, T minutes, can be modelled by the normal distribution
where T ~ N(5, 3.52)

(c) Using this model,

(i) find the probability that a routine appointment with the dentist takes less than 2
minutes
(1)
(ii) find P (T < 2 | T > 0)
(3)
(iii) hence explain why this normal distribution may not be a good model for T.
(1)

The dentist believes that she cannot complete a routine appointment in less than 2 minutes.

She suggests that the health centre should use a refined model only including values
of T > 2

(d) Find the median time for a routine appointment using this new model, giving your
answer correct to one decimal place.
(5)
(Total for Question 5 is 15 marks)

Anyone know what paper it came from???

Additional Assessment Materials, Summer 2021, Pearson Edexcel GCE in Mathematics , 9MA0 (Applied) (Public release version), Resource Set 1: Topic 4, Statistical distributions (Test 1), Q 5.