Prevalence of iron deficiency are high even among healthy young women. You carried out a study which recorded the level of serum iron in women. The study has two groups - an intervention group, who has received a supplement which regulates the serum iron, and a control group. The two groups were chosen to be statistically independent, and the serum iron data was shown to be approximately normally distributed.

The data from this study is in the file Iron study.csv.

The file has the following variables:

ID: Study participant id

Serum iron: Serum iron recording

Group: Study group, recorded as 1 = control and 2 = intervention.

You may refer to the data source as assignment 2: iron study.

Test if the mean serum iron levels for the intervention groups is different to the mean serum iron levels for the control groups, stating the test statistic to 1 decimal place. As part of your answer, you should:

1. State the null and alternative hypothesis (1 mark)
2. State what is the appropriate statistical test to use and justify why (3.5 marks)
3. Perform the hypothesis test and interpret the results. (2.5 marks)