8 4 An English lecturer, Eleanor, is interested in the relationship between vocabulary scores and reading habits. She decides to undertake a study to investigate this. Eleanor asks all of her students to take a vocabulary test. She also asks them about their reading habits. The outcome of the vocabulary test is a score. Students self‑select a reading habit descriptor from a list of several such descriptors. Eleanor decides to compare the scores of two groups of students who self‑select the reading habit descriptors • ‘read widely’, or • ‘read fairly widely’. She takes independent random samples from each of these groups. Eleanor summarises the scores in a table. Score Students who self‑select ‘read widely’ Students who self‑select ‘read fairly widely’ Sample mean 32.2 29.4 Sample standard deviation 5.11 4.18 Sample size 15 15 (a) Making any necessary assumptions, investigate whether students who self‑select ‘read widely’ have a significantly higher average score than students who self‑select ‘read fairly widely’. (6) _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________