A researcher is interested in the average age people first develop symptoms of a particular condition they are investigating. They record the ages of first developing symptoms from 30 random people (below) who have been involved in a recent large trial on managing the condition. 25, 19, 60, 76, 52, 42, 56, 99, 61, 42, 70, 23, 23, 19, 18, 54, 72, 18, 42, 33, 42, 19, 41, 24, 67, 70, 23, 21, 30, 22 i. Calculate a 95% and 99% confidence interval for the average age of first developing symptoms. Carefully explain the two confidence intervals and why they differ. ii. Previous well-established research shows that the average age of first developing symptoms was around 30. Are your findings consistent with this? iii. We are interested in independent and identically distributed (iid) random variables when sampling. What do you understand by an iid and do you think the survey data in this case is iid? iv. A colleague has asked for a smaller confidence interval. How might this be achieved?
A researcher is interested in the average age people first develop symptoms of a
particular condition they are investigating. They record the ages of first developing
symptoms from 30 random people (below) who have been involved in a recent
large trial on managing the condition.
25, 19, 60, 76, 52, 42, 56, 99, 61, 42, 70, 23, 23, 19, 18, 54, 72, 18,
42, 33, 42, 19, 41, 24, 67, 70, 23, 21, 30, 22
i. Calculate a 95% and 99% confidence interval for the average age of first
developing symptoms. Carefully explain the two confidence intervals
and why they differ.
ii. Previous well-established research shows that the average age of first
developing symptoms was around 30. Are your findings consistent with
this?
iii. We are interested in independent and identically distributed (iid)
random variables when sampling. What do you understand by an iid
and do you think the survey data in this case is iid?
iv. A colleague has asked for a smaller confidence interval. How might this
be achieved?
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