Stating hypotheses State the appropriate null and alternative hypotheses in each of the following settings.

Be sure to define the parameter.

(a) The average height of 18-year-old American women is 64.2 inches. You wonder whether the mean height of this year’s female graduates from a large local high school (over 3000 students) differs from the national average. You measure an SRS of 48 female graduates and find that x– = 63.1 inches.

(b) Mr. Starnes believes that less than 75% of the students at his school completed their math homework last night. The math teachers inspect the homework assignments from a random sample of students at the school to help Mr. Starnes test his claim.