Tempe thinks she's pretty skilled at "mouth-catching" (no hands) bits of snack food that have been thrown to her from across a room. She wonders, though, if she's better at catching some foods than others, so she conducts an experiment. A friend tosses 150 pieces of each of three different kinds of snack food (in random sequence) and then records how often Tempe catches the food in her mouth. Here are the results.

$$\begin{array} {lc} & \text{Snack food} \\ \text {Caught?} & \begin{array}{l|c|c|c|c} & \text { Goldfish } & \text { Grapes } & \text { Gummies } & \text { Total } \\ \hline \text { Yes } & 90 & 100 & 115 & 305 \\ \hline \text { No } & 60 & 50 & 35 & 145 \\ \hline \text { Total } & 150 & 150 & 150 & 450 \end{array}\\ \end{array}$$

Use the information in the two-way table to make a segmented bar chart to show the relationship between snack food type and Tempe's catching success.

A simple random sample of size 17 is taken from a population with unknown standard deviation. A normal probability plot of the data reveals an outlier but is otherwise roughly linear. Can you reasonably apply the t-interval procedure? Explain your answer.

Tempe thinks she's pretty skilled at "mouth-catching" (no hands) bits of snack food that have been thrown to her from across a room. She wonders, though, if she's better at catching some foods than others, so she conducts an experiment. A friend tosses 150 pieces of each of three different kinds of snack food (in random sequence) and then records how often Tempe catches the food in her mouth. Here are the results.

$$\begin{array} {lc} & \text{Snack food} \\ \text {Caught?} &\begin{array}{l|c|c|c|c} & \text { Goldfish } & \text { Grapes } & \text { Gummies } & \text { Total } \\ \hline \text { Yes } & 90 & 100 & 115 & 305 \\ \hline \text { No } & 60 & 50 & 35 & 145 \\ \hline \text { Total } & 150 & 150 & 150 & 450 \end{array} \\ \end{array}$$

Identify the explanatory and response variables.

Tempe thinks she's pretty skilled at "mouth-catching" (no hands) bits of snack food that have been thrown to her from across a room. She wonders, though, if she's better at catching some foods than others, so she conducts an experiment. A friend tosses 150 pieces of each of three different kinds of snack food (in random sequence) and then records how often Tempe catches the food in her mouth. Here are the results.

$$\begin{array} {lc} & \text{Snack food} \\ \text {Caught?} & \begin{array}{l|c|c|c|c} & \text { Goldfish } & \text { Grapes } & \text { Gummies } & \text { Total } \\ \hline \text { Yes } & 90 & 100 & 115 & 305 \\ \hline \text { No } & 60 & 50 & 35 & 145 \\ \hline \text { Total } & 150 & 150 & 150 & 450 \end{array}\\ \end{array}$$

Is there an association between the two variables? Explain your reasoning. If an association does exist, briefly describe it.

Connecticut is located between New York and Boston, so baseball fans in the state typically root for either the Yankees or Red Sox. In a recent poll of 803 randomly selected baseball fans in Connecticut, 44% said their favorite team was the Yankees. If the researchers wanted to reduce the margin of error to at most 2%, about how many additional baseball fans do they have to randomly select? Use the value of $\hat{p}$ from the initial study.

In the article “Measurements of the Thermal Conductivity and Thermal Diffusivity of Polymer Melts with the Short-Hot-Wire Method” the thermal diffusivity of a liquid measured by the transient short-hot-wire method is given by $\lambda=\frac{V I A}{\pi l a}$ where $\lambda$ is the thermal diffusivity; V and I are the voltage and current applied to the hot wire, respectively; l is the length of the wire; and A and a are quantities involving temperature whose values are estimated separately. In this article, the relative uncertainties of these quantities are given as follows: V, 0.01%; I, 0.01%; l, 1%; A, 0.1%; a, 1%. a. Find the relative uncertainty in $\lambda$ b. Which would reduce the relative uncertainty more: reducing the relative uncertainty inl to 0.5% or reducing the relative uncertainties in V, I, and A each to 0?

A relay microchip in a telecommunications satellite has a life expectancy that follows a normal distribution with a mean of 90 months and a standard deviation of 3.7 months. When this computer-relay microchip malfunctions, the entire satellite is useless. A large London insurance company is going to insure the satellite for 50 million dollars. Assume that the only part of the satellite in question is the microchip. All other components will work indefinitely. If the satellite is insured for 84 months, what is the probability that it will malfunction before the insurance coverage ends?

Traffic fatalities have decreased over recent decades, with the number of fatalities per hundred million vehicle miles traveled given approximately by $f(x)=\frac{1}{\sqrt{x}}+1$, where x stands for the number of five-year intervals since 1985 (so, for example, x = 2 would mean 1995). Find the rate of change of this function at: a. x = 4 and interpret your answer. b. x = 9 and interpret your answer.

Pick a random nonfatal workplace injury in private industry in 2013. The table gives the probability model for the day of the week that the injury took place.

$$\begin{array}{|l|c|c|c|c|} \hline \text { Day } & \text { Sunday } & \text { Monday } & \text { Tuesday } & \text { Wednesday } \\ \hline \text { Probability } & 0.06 & 0.18 & 0.17 & 0.17 \\ \hline \text { Day } & \text { Thursday } & \text { Friday } & \text { Saturday } & \\ \hline \text { Probability } & x & 0.15 & 0.09 & \\ \hline \end{array}$$

Find the probability that the injury took place on a weekday (Monday through Friday).

Consider sample data with $\bar{x}=15$ and s = 3. Compute the coefficient of variation.

Suppose that 70% of all college women have been on a diet within the past 12 months. A sample survey interviews an SRS of 267 college women. Find the probability that 75% or more of the women in the sample have been on a diet.

Given P(A) = 0.2 and P(B) = 0.4: If P(A | B) = 0.1, compute P(A and B).

Evaluate each definite integral. $\int_{-1}^{1} 5 e^{-x} d x$

State the null and alternative hypotheses for a chi-square homogeneity test a. without using the terms homogeneous and nonhomogeneous. b. using the terms homogeneous and nonhomogeneous.