Now assume that a larger sample of 64 student scores is taken. The sample has a mean score of 29.5 and a standard deviation of 3.2. If you were to construct a 95% confidence interval for the ACT scores of this high school class, what would the lower boundary of the interval be?

You've constructed your confidence interval. Statistically, what does this confidence interval tell us? Can it be used to tell us the true population value of the mean ACT score for this high school class? Why or why not?

Q.3) Suppose (y, z) plane forms the boundary between a nonconducting linear
medium (1) and a conducting medium (2). A monochromatic plane wave traveling
in the x direction and polarized in the y direction approaches the interface from the
left direction.
i) Draw the diagram for this case by indicating the directions for incident, reflected
and transmitted electric and magnetic fields along with the propagation direction.
ii) Calculate the reflection coefficient R and transmission coefficient T and
show that R+T=1?

You are a private tution teacher who conducts one-on-one home tuition in economics for senior college students. You are considering growing your business. In particular you are considering vertical and horizontal integration. Using the theory of the optimal boundary of the firm, discuss the make-or buy decision as well as the scope for horizontal integration and diversification of your business. What stages of the vertical chain should you consider conducting in house? What other horizontal markets may you integrate into?

Use Theorem 3.5.1 to find the general solution to each of the following systems. Then find a specific solution satisfying the given boundary condition.

a. f1′=2f1+4f2,f1(0)=0 f 2′ = 3 f 1 + 3 f 2 , f 2 ( 0 ) = 1

c. f1′= 4f2+4f3 f2′= f1+f2−2f3 f 3′ = − f 1 + f 2 + 4 f 3 f1(0) = f2(0) = f3(0) = 1

Slight wind of 2.2 m/s is moving over a human cheek of length .05m and is causing the skin to lose water. What is the thickness of the mass transfer boundary layer at half of the distance (0.025m) from the edge of the cheek surface over which this water loss is taking place? The viscosity of air can be assumed as 1.85*10-5 Pa.s, density of air is 1.2 kg/m3 and the diffusity of water vapor in air is 2.6*10-4 m2 /s. Temperature is 37C

heat transfer question, show equations, assumptions, calculations and steps clearly. will give thumbs up rating if solved correctly in 50 minutes

part a:

What is the Lumped Capacitance Method, what does it assume, and for which criteria is it valid?

part b:

When part of a system is perfectly insulated, how do we translate this mathematically as a boundary condition?

part c:

State three important assumptions that must be respected for the thermal resistance concept to be valid in a plane wall.

Water flows over a horizontally standing plate. The length of the plate is 1.5 m and its temperature is constant and at 15 ° C. d. The temperature of the water flowing over the plate is 75 ° C and its speed is 0.11 m / sec. According to this, a.) Calculate the speed and temperature boundary layer thickness at the end of the plate. b.) Find the local heat transfer coefficient and heat flux at the end of the plate. c.) Find the average heat transfer coefficient and heat flux at the end of the plate.