Based on the data in table below, assume that ages of moviegoers are normally distributed with a mean of 35 years and a standard deviation of 20 years.

$$\begin{array} { c c c c c c c c }\hline\text{Age}& { 2 - 11 } & { 12 - 17 } & { 18 - 24 } & { 25 - 39 } & { 40 - 49 } & { 50 - 59 } &\text{60 and older}\\ \hline\text{Percent}&{ 7 } & { 15 } & { 19 } & { 19 } & { 15 } & { 11 }&14 \\ \hline \end{array}$$

Find the probability that a simple random sample of 25 moviegoers has a mean age that is less than 30 years.

A one-way analysis of variance experiment produced the following ANOVA table.

$$\begin{array}{|l|c|c|c|c|c|c|} \hline {\text { SUMMARY }} \\ \hline \text { Groups } & {\text { Count }} &{\text { Average }} \\ \hline \text { Column 1 } & {10} &{349} \\ \hline \text { Column 2 } & {10} & {348} \\ \hline \text { Column 3 } & {10} & {366} \\ \hline \text { Column 4 } & {10} & {365} \\ \hline \begin{array}{l} \text { Source of } \\ \text { Variation } \end{array} & \text { Ss } & \text { df } & \text { MS } & \text { F } & \text { p-value } & \text { Fcrit } \\ \hline \begin{array}{l} \text { Between } \\ \text { Groups } \end{array} & 2997.11 & 3 & 999.04 & 15.54 & 1.2 \mathrm{E}-06 & 2.866 \\ \hline \begin{array}{l} \text { Within } \\ \text { Groups } \end{array} & 2314.71 & 36 & 64.30 & & & \\ \hline & & & & & & \\ \hline \text { Total } & 5311.82 & 39 & & & & \\ \hline \end{array}$$

a. Use Fisher's LSD method to determine which means differ at the 5% level of significance.

The scores on a test are normally distributed with a mean of 86 and a standard deviation of 3.

c. Tell how you can use the answer in part b to find the percent of scores that are less than 83 . Then find the percent.

The age of a first grader on September 1 at Garden Elementary School is uniformly distributed from $5.8$ to $6.8$ years. We randomly select one first grader from the class.

$f(x)=$ $\rule{1cm}{1pt}$

Polonium-210 has a half-life of $138.4$ days, decaying by alpha emission. Suppose the helium gas originating from the alpha particles in this decay were collected. What volume of helium at $25^{\circ} \mathrm{C}$ and $735 \mathrm{mmHg}$ could be obtained from $1.0000 \mathrm{~g}$ of polonium dioxide, $\mathrm{PoO}_2$, in a period of $48.0 \mathrm{~h}$ ?

In this exercise, determine whether the given statement is true or false. If the statement is false, make the necessary change(s) to produce a true statement.

To solve $x-9 \sqrt{x}+14=0$, we let $\sqrt{u}=x$.

If we were to measure the equivalence of gravitational and inertial mass, would we show that $m_{\text {inertial }}=m_{\text {gravitational }}$ or merely that $m_{\text {inertial }} \propto m_{\text {gravitational }}$?

Determine whether the statement is true or false. If it is true, explain why. If it is false, explain why or give an example that disproves the statement. The statement to be considered is: If $\text{u} \times \text{v} = 0,$ then $\text{u} = 0$ or $\text{v} = 0$.

Write True if the statement is true. If the statement is false, change the underlined word or words to make the statement true. _Fermentation allows glycolysis to continue by providing the N̲A̲D̲P̲H̲ needed to accept high-energy electrons.

Vous regardez la tele avec Juliette . Elle a perdu ses lunettes et elle ne voit pas bien . Confirmez pour elle le personnage de l emission.

Modele : la chanteuse c est Natasha st - Pier ? oui c est elle

L animatrice c est Melissa Theuriau ?

Shannon observes two light pulses to be emitted from the same location, but separated in time by $3.00 \mu \mathrm{s}$. Kimmie observes the emission of the same two pulses to be separated in time by $9.00 \mu \mathrm{s}$. (a) How fast is Kimmie moving relative to Shannon? (b) According to Kimmie, what is the separation in space of the two pulses?

Mrs. Sung gave a test in her trigonometry class. The scores were normally distributed with a mean of 85 and a standard deviation of 3. What percent would you expect to score between 88 and 91?

One hour after x milligrams of a particular drug are given to a person, the change in body temperature T(x), in degrees Fahrenheit, is given by $T(x)=x^{2}\left(1-\frac{x}{9}\right) \quad 0 \leq x \leq 6$ The rate $T^{\prime}(x)$ at which T(x) changes with respect to the size of the dosage x is called the sensitivity of the body to the dosage. (A) When is $T^{\prime}(x)$ increasing? Decreasing? (B) Where does the graph of T have inflection points? (C) Sketch the graphs of T and T$^{\prime}$ on the same coordinate system. (D) What is the maximum value of $T^{\prime}(x)$?

During the course of treatment of an illness, the concentration of a drug (in micrograms per milliliter) in the bloodstream fluctuates during the dosing period of 8 hours according to the model

$$C(t)=15.4-4.7 \sin \left(\frac{\pi}{4} t+\frac{\pi}{2}\right), \quad 0 \leq t \leq 8$$

Use an identity to express the concentration $C(t)$ in terms of the cosine function. Note: This model does not apply to the first dose of the medication as there will be no medication in the bloodstream.