Suppose we take two different random samples from the same population of test scores. the population mean and standard deviation are unknown. the first sample has 25 data values. the second sample has 64 data values. then we construct a 95% confidence interval for each sample to estimate the population mean. which confidence interval will have greater precision (smaller width) for estimating the population mean? group of answer choices the confidence interval based on the sample of 64 data values will be more precise. both confidence intervals will have the same precision the confidence interval based on the sample of 25 data values will be more precise.

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.)