Over 100 years ago, Carl Wunderlich claimed that the mean body temperature of an adult is 98.5°. A sample of 130 adults was taken, and it was found that their mean temperature was 98.25" with a standard deviation of 0.72. A. Write the hypothesis for this claim

B. Sketch the sampling distribution, including the rejection regions at a level of significance of alpha = 0.05 . Find the standardized test statistic, and add it to your diagram.

C. What decision should be made in regards to this claim?

D. If the level of significance is lowered to a = 0.01, does the decision change?

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)