Devise a practical sampling method (not necessarily one of those mentioned in this chapter) to collect data to estimate each parameter.

a. Mean length of TV commercials during Monday night NFL games.

b. Percentage of peanuts in cans of Planter’s Mixed Nuts.

c. Percentage of bank mortgages issued to first-time borrowers.

d. Percentage of all California adults who have no bank account.

e. Percentage of institutional holdings of publicly traded stocks in the United States.

The solution of a system of three linear equations is expressed as a(n) ______.

The top six basic cable television providers in the year 2012 are listed in the following table. Use this information for the following exercise.

List the elements of the following sets.

I, the set of cable providers with more than 13 million subscribers.

Find the linear approximation to the function f at the given point.

For the following exercise, give an exact answer and, where appropriate, an approximation to three decimal places.

A $53\text{-in}$. TV set has a screen with a height of $28 \mathrm{~in}$. What is its width? (See the previous exercise.)

In the discussed example, the mass-based system of primary dimensions was used to establish a relationship for the pressure difference $\Delta P=P_{\text {inside }}-P_{\text {oatside }}$ between the inside and outside of a soap bubble as a function of soap bubble radius $R$ and surface tension $\sigma_s$ of the soap film. Repeat the dimensional analysis using the method of repeating variables, but use the force-based system of primary dimensions instead. Show all your work. Do you get the same result?

The 2004 TV, print, billboard Dove campaign and the 2013 web-only Dove campaign illustrate the increasing power of social media and viral marketing. What are other social media-driven successful advertising campaigns?

The Fox TV network is considering replacing one of its prime-time crime investigation shows with a new family-oriented comedy show. Before a final decision is made, network executives commission a sample of 400 viewers. After viewing the comedy, 250 indicated they would watch the new show and suggested it replace the crime investigation show a. Estimate the value of the population proportion.b. Develop a 99 percent confidence interval for the population proportion.c. Interpret your findings.

Design a hydrostatic bearing of circular shape of below specifications. Specify the pad diameter, the recess diameter, the recess pressure, the film thickness, the lubricant and its temperature, the oil flow rate, and the pumping power. The load specified is for a single bearing. You may choose to use multiple bearings. (The supply pressure is the maximum available at the pump.)

$$\begin{array}{cc} \text { Load } & \text { Supply pressure } \\ \hline 1250\ \mathrm{lb} & 300\ \mathrm{psi} \end{array}$$

The belt is moving at a constant rate of $3 \mathrm{~mm} / \mathrm{s}$. The $2$-$\mathrm{kg}$ plate between the belt and surface is resting on a $0.5$-$\mathrm{mm}$-thick film of oil, whereas oil between the top of the plate and the belt is $0.8 \mathrm{~mm}$ thick. Calculate the plate's terminal velocity as it slides along the surface. Assume the velocity profile is linear. Take $\rho_o=900 \mathrm{~kg} / \mathrm{m}^3$ and $\mu_o=0.0675 \mathrm{~N} \cdot \mathrm{s} / \mathrm{m}^2$.

Design a hydrostatic bearing of circular shape of below specifications. Specify the pad diameter, the recess diameter, the recess pressure, the film thickness, the lubricant and its temperature, the oil flow rate, and the pumping power. The load specified is for a single bearing. You may choose to use multiple bearings. (The supply pressure is the maximum available at the pump.)

$$\begin{array}{cc} \text { Load } & \text { Supply pressure } \\ \hline 5000\ \mathrm{lb} & 300\ \mathrm{psi} \end{array}$$

What are the symbols for the following elements?

(a) Gadolinium (used in color TV screens)

(b) Germanium (used in semiconductors)

(c) Technetium (used in biomedical imaging)

(d) Arsenic (used in pesticides)

(e) Cadmium (used in rechargeable batteries)

A batch process has a process gain of $E \mathrm{~A} / \mathrm{min}$ (but no dynamics). The maniulated variable is the etch time, so the controlled variable is the film thickness. There are no time constants that need to be included. Assume $G_v=G_m=1$. Derive the closed-loop transfer function for a set-point change for two different controllers: (a) $G_c=K_c$ (b) $G_c=\frac{1}{\tau_I s}$ In both cases, analyze the effect of a unit step set-point change. Sketch the response and show whether there is offset or not.

A "pinhole" camera uses a tiny pinhole instead of a lens. Show, using ray diagrams, how reasonably sharp images can be formed using such a pinhole camera. In particular. consider two point objects $2.0 \mathrm{~cm}$ apart that are $1.0 \mathrm{~m}$ from a $1.0 \mathrm{~mm}$ diameter pinhole. Show that on a piece of film $7.0 \mathrm{~cm}$ behind the pinhole the two objects produce two separate circles that do not overlap.