The accompanying data file shows the midterm and final scores for 32 students in a statistics course.

b. Find the standard error of the estimate.

For the population of all college students currently taking a statistics course, you want to estimate the proportion who are women. You obtain a simple random sample of statistics students at Broward College in Florida. Is the resulting sample proportion 2 a good estimator of the population proportion of all college statistics students? Why or why not?

The mean scores for a statistics course (by major) are given. What is the mean score for the class?

8 engineering majors: 83

5 math majors: 87

11 business majors: 79

Find the weighted mean of the data. The mean scores for students in a statistics course (by major) are shown below. What is the mean score for the class? 9 engineering majors: 85 5 math majors: 90 13 business majors: 81

Why is a measure of serum lactate obtained in the initial assessment of a trauma patient?

Solve the problem using the ideas of series.

An English teacher with a minor in mathematics told her students that if they read $2 n+1$ pages of a long novel on the $n$th day of October, for each day of October, then they will exactly finish the novel in October. How many pages are there in this novel? What is the mean number of pages read per day?

The homeownership rate in the U.S. was $67.4 \%$ in 2009. In order to determine if homeownership is linked with income, 2009 state-level data on the homeownership rate (Ownership in %) and median household income (Income in $) were collected. A portion of the data is shown in the accompanying table.$

$$\begin{array}{|l|c|c|} \hline \text { State } & \text { Ownership } & \text { Income } \\ \hline \text { Alabama } & 74.1 & 39980 \\ \hline \text { Alaska } & 66.8 & 61604 \\ \hline & \vdots & \vdots \\ \hline \text { Wyoming } & 73.8 & 52470 \\ \hline \end{array}$$

$

Interpret the coefficient of determination.

The accompanying data file shows midterm and final grades for 32 students. Estimate a student's final grade as a linear function of a student's midterm grade. At the 1% significance level, is a student's midterm grade significant in explaining a student's final grade? Show the relevant steps of the test.

Indicate whether the given event is independent or not. Describe briefly.

c) The scores you receive on the first midterm, second midterm, and final exam of a course.

A percentile is a data value for which a certain percentage of the data is below the data value in a normal distribution. For example, $90 \%$ of the data in a set is below the value the 90th percentile, and $80 \%$ of the data is below the value at the 80 th percentile. The number of text messages teens send and receive every day can be represented as a normal distribution with a mean of 100 text messages per day and a standard deviation of 25 texts per day. Would a teen in the $90^{\text {th }}$ percentile send and receive more or fewer than 100 text messages per day? Explain your reasoning.

In a simple linear regression, the following sample regression equation is obtained:

$$\hat{y}=436-17 x \text {. }$$

a. Interpret the slope coefficient.

b. Predict $y$ if $x$ equals $-15$.

The resting heart rates for a sample of individuals are normally distributed with a mean of $70$ and a standard deviation of $15$. Use the $68$-$95$-$99.7$ rule to find out the percentage of heart rates in each of the following categories. a. greater than $85$ b. less than $40$ c. less than $85$ d. less than $100$ e. greater than $70$ f. less than $55$ g. greater than $40$ h. between $55$ and $100$

A researcher wonders whether males get paid more, on average, than females at a large firm. She interviews 50 employees and collects data on each employee's hourly wage (Wage), years of higher education (EDUC), experience (EXPER), age (AGE), and gender. The GENDER dummy variable equals 1 if male, 0 if female. A portion of the data is shown in the accompanying table.

$$\begin{array}{|c|c|c|c|c|} \hline \text { Wage } & \text { EDUC } & \text { EXPER } & \text { AGE } & \text { GENDER } \\ \hline \$ 37.85 & 11 & 2 & 40 & 1 \\ \hline 21.72 & 4 & 1 & 39 & 0 \\ \hline \vdots & \vdots & \vdots & \vdots & \vdots \\ \hline 24.18 & 8 & 11 & 64 & 0 \\ \hline \end{array}$$

a. Estimate: Wage $=\beta_0+\beta_1$ EDUC $+\beta_2$ EXPER $+\beta_3 \mathrm{AGE}+$ $\beta_4$ GENDER $+\varepsilon$.

b. Predict the hourly wage of a 40-year-old male employee with 10 years of higher education and 5 years experience. Predict the hourly wage of a 40 -year-old female employee with the same qualifications.

c. Interpret the estimated coefficient for GENDER. Is the variable GENDER significant at the 5% level? Do the data suggest that gender discrimination exists at this firm?

In a contest of National Football League behemoths, teams from the Rams and the $49$ers engage in a tug-of-war, pulling in opposite directions on a strong rope. The Rams exert a force of $9 200\mathrm{~N}$ and they are winning, making the center of the light rope move steadily toward themselves. Is it possible to know the tension in the rope from the information stated? Is it larger or smaller than $9 200\mathrm{~N}$? How hard are the $49$ers pulling on the rope? Would it change your answer if the $49$ers were winning or if the contest were even? The stronger team wins by exerting a larger force, on what? Explain your answers.