According to a large university, 32% of their graduating class will have full time employment within one month after graduation. The admissions office wants to investigate this claim. They contact an SRS of 300 of the previous semester’s graduates. Let pˆ = the proportion of graduates in this sample who had full time employment within one month of graduation. What is the shape of the sampling distribution of pˆ ? Justify. What are the mean and standard deviation of the sampling distribution of pˆ ? Interpret the standard deviation of the sampling distribution of pˆ . The admissions office finds that only 29% of the 300 graduates in the SRS had full time employment within one month of graduation. Assuming the university’s claim that 32% will have employment is true, find the probability that 29% or less of a sample of 300 have full time employment. Does the admissions office have convincing evidence that the proportion of graduates who have full time employment within one month of graduating is actually lower than 32%? Justify.

What is the measure of angle x? 37° 82° x°

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Atrain traveled for 1.5 hours to the first station, stopped for 30 minutes, then traveled for 4 hours to the final station where it stopped for 1 hour. the total distance traveled is a function of time. which graph most accurately represents this scenario? a graph is shown with the x-axis labeled time (in hours) and the y-axis labeled total distance (in miles). the line begins at the origin and moves upward for 1.5 hours. the line then continues upward at a slow rate until 2 hours. from 2 to 6 hours, the line continues quickly upward. from 6 to 7 hours, it moves downward until it touches the x-axis a graph is shown with the axis labeled time (in hours) and the y axis labeled total distance (in miles). a line is shown beginning at the origin. the line moves upward until 1.5 hours, then is a horizontal line until 2 hours. the line moves quickly upward again until 6 hours, and then is horizontal until 7 hours a graph is shown with the axis labeled time (in hours) and the y-axis labeled total distance (in miles). the line begins at the y-axis where y equals 125. it is horizontal until 1.5 hours, then moves downward until 2 hours where it touches the x-axis. the line moves upward until 6 hours and then moves downward until 7 hours where it touches the x-axis a graph is shown with the axis labeled time (in hours) and the y-axis labeled total distance (in miles). the line begins at y equals 125 and is horizontal for 1.5 hours. the line moves downward until 2 hours, then back up until 5.5 hours. the line is horizontal from 5.5 to 7 hours