Read the following data description and answer the following questions

The data set assignment 2 sysbp.csv contains the results of a clinical trial to test the effectiveness of a drug in lowering blood pressure. The data represent measurements of systolic blood pressure for a group of 29 women who are taking the drug and a comparison group of 29 women of similar age who are not taking the drug. The two samples have been selected to be statistically independent of each other and individuals were selected so that the data in each sample are independent.

A person is considered to have a systolic blood pressure which puts their health at risk if their systolic blood pressure is over 140 mmHg. So this data set also contains a variable indicating this risk. This variable takes the value 0 if the systolic blood pressure measurement is at or below 140 and 1 if the systolic blood pressure measurement is over 140.

So the variables recorded on the file are:

Variable name	Variable definition	Valid values
personid	Number identifying the person in each group	0-29
sysbp	Measured systolic blood pressure (mmHg)	98.9-216.5
drug	Whether or not the person was taking the drug	0 = not taking the drug
		1 = taking the drug
atrisk	Whether or not the measured blood pressure was above 140 mmHg	0 = sysbp 140
		1 = sysbp > 140

All the assignment questions use this data set.

These are synthetic data, but you may reference them in your answers as coming from assignment 2 data: test of blood pressure drug

Note that all tables and graphs in this assignment should be presented with appropriate headings and footnotes.

1. Formally test the statistical hypothesis that mean systolic blood pressure is different between those on the drug and those not on the drug. Be sure to fully report the hypothesis test. Report all numbers to 2 decimal places except for degrees of freedom which are reported as whole numbers. (5 marks)