The following data given are collected from the experimental measurement on the electrical circuit with the current as input variable and voltage as output variable: i 1.2 2.4 3.6 4.8 6 7.2 21a 9la 181a 27la 381a 45la 57la Compare FOUR(4) suitable methods to approximate v'(6) in 4 decimal places in which the exact solution of v'(6) is 8.3878.
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- 3) Let's examine the levels of levels of sodium in the blood. 20 people yield the following results (in mEq/L):̄y = 133.95 s = 2.544(a) Test H0: μ = 137 using α = 0.001 (that's not a typo). (b) Figure out the p-value. To do this, take the t value that you calculated in (a) and use R: pt(absolute-value-of-your-t*, df, lower.tail = FALSE)*2 Since it's a two sided test, you need to multiply by 2 at the end. We'll talk more about this in lecture when we do one sided tests; for now just realize that without the “*2” at the end R gives you a one sided p-value. For example, if your t* = 4.65 and you have 67 degrees of freedom you would do:pt(4.65,67,lower.tail = FALSE)*2and you would get back 1.609352e-05 (c) Is the p-value smaller than α? (d) Why is this (c) important (see also part (a))?(e) What is the smallest value of α for which you would reject the H0? Hint: this will not be a “standard”value of α. The correct answer here is a value that is not only small, but totally absurd).Another…3) Let's examine the levels of levels of sodium in the blood. 20 people yield the following results (in mEq/L): ̄y = 136.95 s = 2.544 (a) Test H0: μ = 140 using α = 0.001 (that's not a typo).(b) Figure out the p-value. To do this, take the t value that you calculated in (a) and use R: pt(absolute-value-of-your-t*, df, lower.tail = FALSE)*2 Since it's a two-sided test, you need to multiply by 2 at the end. We'll talk more about this in lecture when we do one sided tests; for now just realize that without the “*2” at the end R gives you a one sided p-value. For example, if your t* = 4.65 and you have 67 degrees of freedom you would do: pt(4.65,67,lower.tail = FALSE)*2 and you would get back 1.609352e-053) Let's examine the levels of levels of sodium in the blood. 20 people yield the following results (in mEq/L): ̄y = 136.95 s = 2.544 (a) Test H0: μ = 140 using α = 0.001 (that's not a typo).(b) Figure out the p-value. To do this, take the t value that you calculated in (a) and use R: pt(absolute-value-of-your-t*, df, lower.tail = FALSE)*2 Since it's a two sided test, you need to multiply by 2 at the end. We'll talk more about this in lecture when we do one sided tests; for now just realize that without the “*2” at the end R gives you a one sided p-value. For example, if your t* = 4.65 and you have 67 degrees of freedom you would do: pt(4.65,67,lower.tail = FALSE)*2 and you would get back 1.609352e-05 (c) Is the p-value smaller than α?(d) Why is this (c) important (see also part (a))? It is essential that you understand question (c)! (e) What is the smallest value of α for which you would reject the H0? Hint: this will not be a “standard” value of α. The correct answer here is a value…
- 3: The dimensions of a rectangular box are measured to be 75 cm, 60 cm, and 40 cm, and each measurement is correct to within 0.2 cm. Use differentials to estimate the largest possible error when the volume of the box is calculated from these E measurements.The population of two different species are given by P1 and P2. Pl = 4e0.6t where t is measured in P2 = 9e0.4t days. When will P1 > P2 P1 > P2 when t? v days. Give answer to nearest hundredth.DETAILS BOYCEDIFFEQ10 2.6.025. Find an integrating factor. (21x2y + 2xy+7y³) + (x² + y²)y' = o u(x) = %3D Solve the given equation. Submit Answer
- Use the improved Euler's method to obtain a four-decimal approximation of the indicated value. First use h = 0.1 and then use h = 0.05. y' = y - y², y(0) = 0.3; y(0.5) X (h= 0.1) X (h = 0.05) y(0.5) ≈ 4123 y(0.5) *.4132The power P (in W) in an electric circuit is the product of the voltage V and the current I (in A). If the V and I vary with time t (in s) (0The edge of a cube was found to be 20 cm with a possible error in measurement of 0.2 cm. Use differentials to estimate the possible error in computing the volume of the cube. O (E) None of the choices O 240 cm³ 480 cm³ 4800 cm³ 120 cm³SEE MORE QUESTIONS