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- Determine the equation of the normal line at the given x-value. 1) g(x) = x5, x = 2 2) f(x) = 3x3 − 2x + 5, x = −2Determine the equation of the normal line at the given x-value. 7) f(x)= 16/x3 + 7, x = 2 8) y = √x + 4x, c = 9A researcher hypothesizes that in a certain country the net annual growth of private sector purchases of government bonds, B, is positively related to the nominal rate of interest on the bonds, NI, and negatively related to the rate of inflation Π: Bt = a0 + a1NIt + a2Π t + ut Note that it may be hypothesized that B depends on the real rate of interest on bonds, R, where R = NI – Π. Using a sample of 56 annual observations, s/he estimates the following equations: (1) Bt = 0.43 + 0.90NIt - 0.97Πt R21 = 0.962, SSR1 = 2.20, QRESET(F1,52) = 16.6 (3.58) (8.80) (-1.05) (2) Bt = 0.44 + 0.94Rt R22 = 0.960, SSR2 = 2.22, QRESET(F1,53) = 0.9 (9.70) (16.7) (3) Bt = 0.44 + 1.14NIt SSR3 = 9.20, QRESET(F1,53) = 59.9 (8.84) (36.1) (4) NIt = 0.08 + 0.94Πt R24 = 0.997, SSR4 = 0.18, QRESET(F1,53) = 1.4…
- Find z such that 4.0% of the standard normal curve lies to the right of zThe cholesterol levels of an adult can be described by a normal model with a mean of 195 mg/dL and a standard deviation of 25. a) Draw and label the normal model. A. 170 145 120 245 220 270 195 68% 95% 99.7% A bell-shaped curve with horizontal axis from less than 120 to 270 plus in intervals of 25 begins just above the horizontal axis, increases at an increasing and then decreasing rate to its maximum at 195, and decreases at an increasing and then decreasing rate approaching the horizontal axis. The curve is symmetric. The area below the curve is subdivided into regions by the intervals and labeled as follows: from 170 to 220, "68%"; from 145 to 245, "95%"; from 120 to 270, "99.7%." B. 183 170 158 220 208 233 195 68% 95% 99.7% A bell-shaped curve with horizontal axis from less than 158 to 233 plus begins just above the horizontal…Let X and Y be independent standard normal variates. Obtain the m.g.f. of XY.
- find z such that 55% of the standard normal curve lies to the left of ZA poll found that 15% of adults do not work at all while on summer vacation. In a random sample of 8 adults, let x represent the number who do not work during summer vacation. Complete parts a through e.find Z such that 36.32% of the standard normal curve lies to the left of Z and sketch it
