2. A second study compared the cholesterol levels of men who frequently drank tea with those who do not. The average cholesterol levels of the 21 men in the sample who frequently drink tea was 183.0, with a standard deviation of 34.5. For the control group (n=44), the average cholesterol levels were 197.5, with a standard deviation of 40.0. (a) (1 point) Is this a matched-pairs or a two independent samples problem? (b) (4 points) Conduct a significance test to find out whether the cholesterol level among tea drinkers is significantly different from the control group. Use a two-sided hypothesis with a significance threshold of 0.05. (Remember to state your null and research hypotheses and to state your conclusion.)