A study discusses a prostate cancer screening program that began in a certain country in 1996 and was expanded geographically through 2005. The people in the study were given the option to receive screenings every two years. The goal of the study was to compare incidence-based rates of death from prostate cancer across four groups. Data were analyzed for 76,507 people. Rates of death were reduced in the screening group as compared to the historical screening group, and also in the nonscreening group as compared to the historical nonscreening group. Complete parts a through c below.
a. Is this an observational or experimental study?
b. Identify the response variable and the explanatory variable.
c. Does the study prove that being offered screenings causes a reduction in death rates associated with prostate cancer?
A new roller coaster at an amusement park requires individuals to be at least 4' 8" (56 inches) tall to ride. It is estimated that the heights of 10-year-old boys are normally distributed with μ = 53.0 inches and σ = 4 inches.
What proportion of 10-year-old boys is tall enough to ride the coaster?
The proportion of 10-year-old boys tall enough to ride the coaster is
(Round to four decimal places as needed.)