Football Air Pressure During the National Football Leagueâs 2014 AFC championship game, officials measured the air pressure on of the game footballs being used by the New England Patriots. They found that the balls had an average air pressure of psi, with a standard deviation of psi. Assuming this is a representative sample of all footballs used by the Patriots in the 2014 season, perform the appropriate test to determine if the average air pressure in footballs used by the Patriots was significantly less than the allowable limit of psi. There is no extreme skewness or outliers in the data, so it is appropriate to use the -distribution. New attempt is in progress. Some of the new entries may impact the last attempt grading. Your answer is incorrect.

(a) Clearly state the null and alternative hypotheses.
(b) Give the test statistic and -value and state the conclusion of the test.
(c) Do we have evidence to conclude that the air pressure was significantly less than the allowable limit?
(d) Is it fair to assume that this sample is representative of all footballs used by the Patriots during the 2014 season?

pentagon

step-by-step explanation:

the coordinates   a(5, -2), b(3,-1),c(-4,-4) d(-3,8) and e(-1,4) forms the vertices of the polygon when they are connected in order.

in order to classify that which polygon is it with the given coordinates, first count the number of vertices and then count the number of sides it can make with these vertices.

since, the given coordinates have five vertices, therefore, it will make five sides. moreover, pentagon is regular in nature therefore it will be convex.

now, a polygon with five sides is known as pentagon, therefore, the given polygon is the pentagon.

answer: c, the green line

step-by-step explanation:

there is no black line, eliminate b.

simple interest implies periodic payments, but the red line shows no payments, eliminate d.

simple interest has equal payments. if paid say every day, the graph is about a straight line (actually a stairstep).

the yellow line is not straight, eliminate a.

check: the green line is straight, answer is c.

simple interest with positive interest rate gives a straight line sloping up to the right. green line:

g(t) = $100 + ($200-$100) ÷ (20 years) × (t years)

= $100 + (4%/year) × ($100)(t years)

incidentally, the yellow line curving upward represents continuously compounded interest

y = $100 × 2^(t years / (14 assuming the yellow line hits $200 at 14 years. 2^0 is 1, so y(0) = $100; 2^(14/14) is 2, so y(14) = $200.