Suppose that, for a sample of size $n=100$ measurements, we find that $\bar{x}=50$. Assuming that $\sigma$ equals $2$, calculate confidence intervals for the population mean $\mu$ with the following confidence levels:

$$97\%$$

A newly installed automatic gate system was being tested to see if the number of failures in 1,000 entry attempts was the same as the number of failures in 1,000 exit attempts. A random sample of eight delivery trucks was selected for data collection. Do these sample results show that there is a significant difference between entry and exit gate failures? Use $\alpha=.01$.

$$\begin{array}{lcccccccc} \hline & \text { Truck 1 } & \text { Truck 2 } & \text { Truck 3 } & \text { Truck 4 } & \text { Truck 5 } & \text { Truck 6 } & \text { Truck 7 } & \text { Truck 8 } \\ \hline \text { Entry failures } & 43 & 45 & 53 & 56 & 61 & 51 & 48 & 44 \\ \text { Exit failures } & 48 & 51 & 60 & 58 & 58 & 45 & 55 & 50 \\ \hline \end{array}$$

Assume that voltages in a circuit vary between 6 volts and 12 volts, and voltages are spread evenly over the range of possibilities, so that there is a uniform distribution. Find the probability of the given range of voltage levels. Between 7 volts and 10 volts

Find a minimum four-level NAND- or NOR-gate circuit to realize (a) $Z=a b e^{\prime} f+c^{\prime} e^{\prime} f+d^{\prime} e^{\prime} f+g h$ (b) $Z=\left(a^{\prime}+b^{\prime}+e+f\right)\left(c^{\prime}+a^{\prime}+b\right)\left(d^{\prime}+a^{\prime}+b\right)(g+h)$

Suppose that, for a sample of size $n=100$ measurements, we find that $\bar{x}=50$. Assuming that $\sigma$ equals $2$, calculate confidence intervals for the population mean $\mu$ with the following confidence levels:

$$80\%$$

Suppose that, in a particular city, airport A handles 50% of all airline traffic, and airports B and C handle 30% and 20%, respectively. The detection rates for weapons at the three airports are .9, .8, and .85, respectively. If a passenger at one of the airports is found to be carrying a weapon through the boarding gate, what is the probability that the passenger is using airport A? Airport C?

Your ears can accommodate a huge range of sound levels. What is the ratio of highest to lowest intensity at $5000 \mathrm{~Hz}$ ? (See Fig. 16-6.)

In the region just downstream of a siuice gate, the water may develop a reverse flow region as is indicated in the figure. The velocity profile is assumed to consist of two uniform regions, one with velocity $V_{\mathrm{at}}=10 \mathrm{fps}$ and the other with $V_b=3 \mathrm{fps}$. Determine the net flowrate of water across the portion of the control surface at section (2) if the channel is $20 \mathrm{ft}$ wide.

The minimum and maximum sound levels at a rock concert are 90 decibels and 95 decibcls. Which equation models this situation?

(A) $|x-90|=5$

(B) $|x-92.5|=2.5$

(C) $|x-92.5|=5$

(D) $|x-9.5|=2.5$

Name the first three trophic levels. Among the consumers, which are most abundant? Use the "10% law" to explain why you would predict that there will be greater biomass of plants than herbivores in an ecosystem.

Find a minimum two-level, multiple-output AND-OR gate circuit to realize these functions (eight gates minimum).

$$\begin{array}{l} f_{1}(a, b, c, d)=\Sigma m(10,11,12,15)+\Sigma d(4,8,14) \\ f_{2}(a, b, c, d)=\Sigma m(0,4,8,9)+\Sigma d(1,10,12) \\ f_{3}(a, b, c, d)=\Sigma m(4,11,13,14,15)+\Sigma d(5,9,12) \end{array}$$

Suppose that, for a sample of size $n=100$ measurements, we find that $\bar{x}=50$. Assuming that $\sigma$ equals $2$, calculate confidence intervals for the population mean $\mu$ with the following confidence levels:

$$99.73\%$$

The pancreas

$$\textbf{\ \ a.}\text{ secretes insulin.}$$

$$\textbf{\ \ b.}\text{ secretes glucagon.}$$

$$\textbf{\ \ c.}\text{ helps regulate blood glucose levels.}$$

$$\textbf{\ \ d.}\text{ all of the above.}$$

a. Plot the $I-V$ characteristics of a $1 \Omega, 100 \Omega$, and $1000 \Omega$ resistor on the same graph. Use a horizontal axis of $0$ to $100 \mathrm{~V}$ and a vertical axis of $0$ to $100 \mathrm{~A}$. b. Comment on the steepness of a curve with increasing levels of resistance.