The original claim. a simple random sample of 25 filtered 100 mm cigarettes is obtained, and the tar content of each cigarette is measured. the sample has a mean of 19.4 mg and a standard deviation of 3.51 mg. use a 0.05 significance level to test the claim that the mean tar content of filtered 100 mm cigarettes is less than 21.1 mg, which is the mean for unfiltered king size cigarettes. what do the results suggest, if anything, about the effectiveness of the filters?

Max recorded the heights of 500 male humans. he found that the heights were normally distributed around a mean of 177 centimeters. which statements about max’s data must be true? a) the median of max’s data is 250 b) more than half of the data points max recorded were 177 centimeters. c) a data point chosen at random is as likely to be above the mean as it is to be below the mean. d) every height within three standard deviations of the mean is equally likely to be chosen if a data point is selected at random.