Cigarettes Some of the cigarettes sold in the US claim to be “low tar”. How much less tar would a smoker get by smoking low tar brands instead of regular cigarettes? Samples of 15 brands of each type were randomly chosen from the 1206 varieties (no kidding) that are marketed. Their tar contents (mg/cig) are listed in the table below. Find a 95 % confidence interval for the difference between regular and low tar brands. Type Milligrams of tar per cigarette Regular 18 10 14 15 15 12 17 11 14 17 12 14 15 15 12 Low Tar 9 5 10 4 8 9 9 3 7 12 6 10 8 11 8

Helena lost her marbles. but then she found them and put them in 44 bags with mm marbles in each bag. she had 33 marbles left over that didn't fit in the bags.

Harry owes the bank money. to repay his debt, he paid $150 back to the bank each month. after 10 months, his remaining debt was $6900. what was the original amount of harry's debt? how long did it take harry to pay back his entire debt?

Aking and his army will attempt to capture a fortress. the left and right flanks break off from the main group to attack the west and east guard towers. suppose the left flank has a 60% chance of success and the right flank has a 75% chance of success, independently of one another. if both flanks capture their respective targets, then the king has a 98% chance of successfully taking the fort. if, however, only the left flank captures its tower, the king has an 80% chance of success; if only the right flank succeeds, the king has a 50% chance. if both flanks fail, then the king's chance of capturing the fort drops to 20%. it turns out the king captures the fort. what is the probability that one, and only one, flank was successful (either the left, or the right, but not both)? (round your answer to 3 decimal places)