A mutual fund is a professionally managed investment that can be sold to the general public. The following table lists the 3-month rates of return, in percent, for samples of healthcare-related and technology-related mutual funds, as reported by Morningstar, an independent investment research company.\

$$\begin{array}{lcccr|ccccc} \hline {\text { Healthcare}} & {\text { }} &{\text { }} &{\text { }} &{\text { }} &{\text { Technology }} \\ \hline 9.7 & 9.5 & 7.6 & 6.8 & 6.7 & 6.5 & 6.4 & 6.4 & 6.2 & 4.9 \\ 6.7 & 6.6 & 4.6 & 3.9 & 3.9 & 4.6 & 4.6 & 4.2 & 3.6 & 3.2 \\ 3.7 & 3.3 & 3.0 & 0.8 & -9.9 & 2.9 & 2.8 & 2.7 & 2.5 & \\ \hline \end{array}$$

a) Use the technology of your choice to obtain normal probability plots and boxplots for the two samples.
b) Is it reasonable to use the pooled t~test to perform a hypothesis test here? Explain your answer.
c) Is it reasonable to use the Mann-Whitney test to perform a hypothesis test here? Explain your answer.

Classify the motion of the mass on a spring as either underdamped, critically damped, or overdamped, or nd the range of the parameter value that will give the desired result. Assume x = x(t), that is, x is a function of t. $x^{\prime \prime}+b x^{\prime}+4 x=0$, underdamped

Give an example of a subset A of $\mathbb{R}$ and a point x in A that is not a limit point of the set A.

Define gluconeogenesis, glycogenolysis, and glycogenosis.

Solve the Bernoulli equations given in Problem. $(x+1)\left(y^{\prime}+y^{2}\right)=-y$

Prefix Supply Company received a 120-day, 8% note for $450,000, dated April 9, from a customer on account.

a. Determine the due date of the note.

b. Determine the maturity value of the note.

c. Journalize the entry to record the receipt of the payment of the note at maturity.

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.

(i) sketch the differential equation in the $y-y^{\prime}$ plane by hand. (ii) Draw the phase line diagram, clearly stating the location and stability of the equilibria. (iii) State the long-term behavior for all initial conditions. (iv) Assuming y = y(x), sketch the corresponding graph in the traditional x-y plane. $y^{\prime}=-y^{2}$

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

Suppose that $\mathcal{V}=\left\{\mathbf{v}_{1}, \ldots, \mathbf{v}_{m}\right\}$ spans a vector space V, and suppose that v is in V but not in $\mathcal{V}$. Prove that $\left\{\mathbf{v}, \mathbf{v}_{1}, \dots, \mathbf{v}_{m}\right\}$ is linearly dependent.

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.