A researcher wants to study effects of a new cholesterol drug. She randomly recruited 68 subjects with high cholesterol and tested their cholesterol level (baseline). The subjects then takes the new drug for 3 months. After this treatment, the researcher tested the subjects' cholesterol level again to see if the post treatment cholesterol level is statistically significantly lower than pre-treatment level. What statistical test will the researcher use

Our star pitcher, foster enlight, can throw a pitch so fast that it gets to the catcher’s mitt before it leaves foster’s fingers! if the team wins a game then the probability that foster was pitching is 0.8 but only if foster had at least one day’s rest since his last pitching assignment. if foster does not have a day off and the team still wins, the probability that foster was pitching drops by half of what it was on the previous day. if the team wins three games in succession from the toronto tachyons and foster pitched in game #2, what is the probability that he pitched in one or more of the other games? (assume that foster did not pitch on the day before the first game of this three game series.)