1. In the past, of all the students enrolled in "Basic Business Statistics" 10% earned A's 30% earned B's, 25% earned C's, 25% earned D's and the rest either failed or withdrew from the course. Dr Johnson is a new professor teaching "Basic Business Statistics" for the first time this semester. At the conclusion of the semester, in Dr. Johnson's class of 60 students, there were 10 A's, 20 B's, 20 C's, 5 D's and 5 W's or F's. Assume that Dr. Johnson's class constitutes a random sample. Dr Johnson wants to know if there is sufficient evidence to conclude that the grade distribution of his class is different than the historical grade distribution.
Use α =.05 and .01 and perform a goodness of fit test.

2. A recent national survey of hospital admissions for people between 25 and 50 years who had hospital admissions in during a two years' period showed that 30% had 1 admission only, 25% had two admissions, 15% had 3 admissions, 12% had 4 admissions, 8 % had 5 admissions, 10% had 6 admissions or more admissions. The mayor of a small city claims that his city is much healthier than the national average. He even cites the percentages for the two extreme categories. His claim was in fact based on a sample of 300 randomly selected people in the specified age group who were interviewed by a local Newspaper. It was revealed that 108 people had only 1 admission, 80 had 2 admissions, 41 had 3 admissions, 32 had 4 admissions, 19 had 5 admissions, and 20 had 6 admissions or more admissions. Does the data support the mayor's claim at 5% and 1% significance levels?