company supplies a tool for pouring cold medicine into bottles in such a way that the standard deviation of the contents is 4.15 g. A new filling process is tested on 86 bottles and the standard deviation for this sample is 3.84 g. Use a 0.10 significance level to test the claim that the new process dispenses amounts with a standard deviation less than the standard deviation of 4.15 g for the old process. Is the new process better in the sense of dispensing amounts that are more consistent? Assume that a simple random sample is selected from a normally distributed population. What are the correct hypotheses for this test? Hoσ = H₁: 4.15 g 4.15 g Calculate the value of the test statistic. (Round to two decimal places as needed.)

is ry - lan Cy)-l =0 a soletion Solution 2 %3D |

Ornithologists have determined that some species of birds tend to avoid flights over large bodies of water during daylight hours. It is believed that more energy is required to fly over water than land because air generally rises over land and falls over water during the day. island 4 km 16 km W L D nest @ A bird with these tendencies is released from an island that is 4 km from the nearest point B on a straight shoreline, flies to a point C on the shoreline, and then flies along the shoreline to its nesting area D. Points B and D are 16 km apart. Assume that the bird instinctively chooses a path that will minimize its energy expenditure. (Round your answers to two decimal places.) (a) In general, if it takes 1.2 times as much energy to fly over water as land, to what point C should the bird fly in order to minimize the total energy expended in returning to its nesting area? km from B (b) Let W and L denote the energy (in joules) per kilometer flown over water and land, respectively.…

II.) Solve the equation exactly for L0,2) %3D 11. -It2 cot (x) = -2+ 3 cot(x). -2+3 cot(x

solve for s r(As – Bt + Cr)=25t + A(st + Br)

e) (2²+4 dt St