Construct and interpret a 95% confidence interval for the mean DRP score for all Henrico County third-graders. There are many ways to measure the reading ability of children. Research designed to improve reading performance is
dependent on good measures of the outcome. One frequently used test is the DRP, or Degree of Reading Power. A
researcher suspects that the mean score μ of all third- graders in Henrico County Schools is different from the national
mean, which is 32. To test her suspicion, she administers the DRP to an SRS of 28 Henrico County third-grade students.
The mean DRP score for this group of students is 35.09 with a standard deviation of 11.19. An inspection of the data shows
no skewness or serious departures from normality.

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)