The article “Leachate from Land Disposed Residential Construction Waste” (W. Weber, Y. Jang, et al., Journal of Environmental Engineering, 2002: 237-245) presents a study of contamination at landfills containing construction and demolition waste. Specimens of leachate were taken from a test site. Out of 42 specimens, 26 contained detectable levels of lead, 41 contained detectable levels of arsenic, and 32 contained detectable levels of chromium. a. Find a 90% confidence interval for the probability that a specimen will contain a detectable level of lead. b. Find a 95% confidence interval for the probability that a specimen will contain a detectable level of arsenic. c. Find a 99% confidence interval for the probability that a specimen will contain a detectable level of chromium.

Grandma tells Hailey not to swim for 30 minutes after eating. Explain why taking a vigorous swim immediately after lunch is more likely to cause indigestion than cramping of your muscles.

Disorders classified as COPDs include a. pneumonia b. emphysema c. bronchitis d. sleep apnea

A digital scale that provides weights to the nearest gram is used. a. What is the sample space for this experiment? Let A denote the event that a weight exceeds 11 grams, let B denote the event that a weight is less than or equal to 15 grams, and let C denote the event that a weight is greater than or equal to 8 grams and less than 12 grams. Describe the following events. b. A ∪ B c. A ∩ B d. A' e. A ∪ B ∪ C f. (A ∪ C)' g. A ∩ B ∩ C h. B' ∩ C i. A ∪ (B ∩ C)

Plasma without the clotting proteins is called a serum. b. whole blood. c. fibrin. d. tissue factor.

Determine the region(s) of the x-y plane where solutions (i) exist and also where solutions (ii) exist and are unique, according to the Existence and Uniqueness theorem. $\frac{d y}{d x}=e^{y /(x+1)}$

An article in the New England Journal of Medicine, reported about a study of smokers in California and Hawaii. In one part of the report, the self-reported ethnicity and smoking levels per day were given. Of the people smoking at most ten cigarettes per day, there were 9,886 African Americans, 2,745 Native Hawaiians, 12,831 Latinos, 8,378 Japanese Americans, and 7,650 Whites. Of the people smoking 11 to 20 cigarettes per day, there were 6,514 African Americans, 3,062 Native Hawaiians, 4,932 Latinos, 10,680 Japanese Americans, and 9,877 Whites. Of the people smoking 21 to 30 cigarettes per day, there were 1,671 African Americans, 1,419 Native Hawaiians, 1,406 Latinos, 4,715 Japanese Americans, and 6,062 Whites. Of the people smoking at least 31 cigarettes per day, there were 759 African Americans, 788 Native Hawaiians, 800 Latinos, 2,305 Japanese Americans, and 3,970 Whites. Suppose that one person from the study is randomly selected. Find the probability that person smoked 11 to 20 cigarettes per day.

Find the mean for the following frequency tables. a.

$$\begin{matrix} \text{Grade} & \text{Frequency}\\ \text{49.5–59.5} & \text{2}\\ \text{59.5–69.5} & \text{3}\\ \text{69.5–79.5} & \text{8}\\ \text{79.5–89.5} & \text{12}\\ \text{89.5–99.5} & \text{5}\\ \text{Table 2.54}\\ \end{matrix}$$

b.

$$\begin{matrix} \text{Daily Low Temperature} & \text{Frequency}\\ \text{49.5–59.5} & \text{53}\\ \text{59.5–69.5} & \text{32}\\ \text{69.5–79.5} & \text{15}\\ \text{79.5–89.5} & \text{1}\\ \text{89.5–99.5} & \text{0}\\ \text{Table 2.55}\\ \end{matrix}$$

c.

$$\begin{matrix} \text{Points per Game} & \text{Frequency}\\ \text{49.5–59.5} & \text{14}\\ \text{59.5–69.5} & \text{32}\\ \text{69.5–79.5} & \text{15}\\ \text{79.5–89.5} & \text{23}\\ \text{89.5–99.5} & \text{2}\\ \text{Table 2.56}\\ \end{matrix}$$

Show that an equivalent formulation of F(x; y) is given by $F(x, y)=\int N(x, y) \frac{d y}{d x}+\int\left(M(x, y)-\frac{\partial}{\partial x} \int N(x, y) \frac{d y}{d x}\right)$. Although this could easily be obtained by rearranging the previously obtained expression for F (1.30), do not simply rearrange terms.

E and F are mutually exclusive events. P(E) = 0.4; P(F) = 0.5. Find P(E|F).

Name the structures of the outer, middle, and inner ears, and give the general function of each structure and each group of structures.

Explain the relationship between the cross-sectional area of a blood vessel and blood flow in that vessel.

What is meant when we say that a hypothesis test is a. exact? b. approximately correct?

multiply 6 by $r ,$ then subtract $s$ from the result