Bags of a certain brand of tortilla chips claim to have a net weight of 14 ounces. Net weights actually vary slightly from bag to bag and are Normally distributed with mean . A representative of a consumer
advocacy group wishes to see if there is any evidence that the true mean net weight is less than advertised and
so intends to test the hypotheses
H0 : μ = 14
Ha : μ < 14A
Type I error in this situation would mean
a. concluding that the bags are being under filled when they actually aren’t.
b. concluding that the bags are being under filled when they actually are.
c. concluding that the bags are not being under filled when they actually are.
d. concluding that the bags are not being under filled when they actually aren’t.
e. none of these.

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)