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QUESTION
The average score on the mathematics portion of the SAT has been increasing over the past 10 years. In 1999 the average SAT mathematics score was 475, while in 2009 the average SAT mathematics score was 496. Assume the rate of increase is constant. $$ \ $$ (a) Find a linear equation that relates the average SAT mathematics score S at any time t, where t is the year. $$ \ $$ (b) If the trend continues, what will the average SAT mathematics score be in 2011?
QUESTION
A study of 100 students who took a certain mathematics course revealed that 15 received a grade of A, 20 had SAT mathematics scores above 550, and 10 received both a grade of A and had SAT mathematics scores above 550. Determine whether the events “received a grade of A” and “SAT mathematics score above 550” are independent or not.
STATISTICS
The middle 50% of enrolled freshmen at Washington University in St. Louis had SAT math scores in the range 700-780. What is the probability that a randomly selected freshman at Washington University has an SAT math score of 700 or higher.
STATISTICS
Armando is filling out a college application that requires he supply either his SAT math score or his ACT math score. Armando scored 610 on the SAT math and 27 on the ACT math. Which score should Armando report, given that the mean SAT math score is 515 with a standard deviation of 114, and the mean ACT math score is 21.0 with a standard deviation of 5.1? Why?
ALGEBRA2
Find the proportion of students who earned SAT Math scores in the following ranges. a) between $266$ and $750$ b) between $266$ and $629$
ALGEBRA2
Find the proportion of students who earned SAT Math scores in the following ranges. a. between 266 and 750 b. between 266 and 629
ALGEBRA
Find the proportion of students who earned SAT Math scores in the following ranges. a. between 266 and 750 b. between 266 and 629
ALGEBRA2
Write the number in decimal notation. Mean SAT Mathematics score of college-bound seniors in 2013: $5.14 \times 10^{2}$
STATISTICS
Classify each of the following random variables as discrete or continuous. X = the reported score of a randomly selected senior at your school on the SAT Math test
STATISTICS
The admissions officer for Clearwater College developed the following estimated regression equation relating the final college GPA to the student’s SAT mathematics score and high-school GPA. $$ \hat { y } = - 1.41 + .0235 x _ { 1 } + .00486 x _ { 2 } $$ where $$ \begin{aligned} x _ { 1 } & = \text { high-school grade point average } \\ x _ { 2 } & = \text { SAT mathematics score } \\ y & = \text { final college grade point average } \end{aligned} $$ a. Interpret the coefficients in this estimated regression equation. b. Estimate the final college GPA for a student who has a high-school average of 84 and a score of 540 on the SAT mathematics test.
STATISTICS
The distribution of SAT mathematics scores for college-bound male seniors in 2016 has a mean of 524 and a standard deviation of 126. The distribution of SAT mathematics scores for college-bound female seniors in 2016 has a mean of 494 and a standard deviation of 116. One male and one female are randomly selected. Assume their scores are independent. What is the standard deviation of the difference of their scores?
QUESTION
In 2004, the score of males on the SAT Math test followed the N(537, 116) distribution. What percent of males scored 750 or better? Show your work.
PROBABILITY
Assume that SAT mathematics scores of students who attend small liberal arts colleges are N(μ, 8100). We shall test $$ H_0: μ = 530 $$ against the alternative hypothesis $$ H_1: μ < 530 $$ . Given a random sample of size n = 36 SAT mathematics scores, let the critical region be defined by C = {x̅ : x̅ ≤ 510.77}, where x̅ is the observed mean of the sample.
STATISTICS
The distribution of SAT mathematics scores for college-bound male seniors in 2016 has a mean of 524 and a standard deviation of 126. The distribution of SAT mathematics scores for college-bound female seniors in 2016 has a mean of 494 and a standard deviation of 116. One male and one female are randomly selected. Assume their scores are independent. What is the average sum of their scores? What is the average difference of their scores?
PRECALCULUS
Table shows the average SAT math scores in the United States for selected years. Average SAT Math Scores $$ \begin{matrix} \text{Year} & \text{Annual Average Score}\\ \text{2008} & \text{514}\\ \text{2009} & \text{514}\\ \text{2010} & \text{515}\\ \text{2011} & \text{514}\\ \text{2012} & \text{514}\\ \text{2013} & \text{514}\\ \text{2014} & \text{513}\\ \text{2015} & \text{511}\\ \text{2016} & \text{508}\\ \end{matrix} $$ (a) Draw a scatter plot of the data. (b) Use the 2008 and 2016 data to write a linear equation for the average SAT math score y in terms of the year x. Superimpose the graph of die equation on die scatter plot. (c) Use the equation in part (b) to predict the average SAT math score for 2020. (d) Writing to Learn Do you think the prediction in pan (c) is valid? Explain. (Check it if possible.)
PRECALCULUS
Scores on the Scholastic Aptitude Tests are scaled to a mean of 500 and a Normal model with a standard deviation of 100. In 2015. the national average on the SAT Math section was 511 Is this number a parameter or a statistic?
PRECALCULUS
Scores on the Scholastic Aptitude Tests are scaled to a mean of 500 and a Normal model with a standard deviation of 100. In 2012, the national average on the SAT Math section was 514. Is this number a parameter or a statistic?
PRECALCULUS
Scores on each part of the SAT are on a scale of 200-800. Table shows the average SAT math score for selected years. $$ \begin{matrix} \text{Year} & \text{Scaled Scores}\\ \text{1995} & \text{506}\\ \text{2000} & \text{514}\\ \text{2005} & \text{520}\\ \text{2006} & \text{518}\\ \text{2007} & \text{515}\\ \text{2008} & \text{515}\\ \text{2009} & \text{515}\\ \text{2010} & \text{516}\\ \text{2011} & \text{514}\\ \end{matrix} $$ Use the 1995 and 2005 data to write a linear equation for the average SAT math score y in terms of the year x. Superimpose the graph of the equation on the scatter plot. Use the equation to predict the average SAT math score for 2015.
CHEMISTRY
Liquid/vapor saturation pressure $P^{\text {sat }}$ is often represented as a function of temperature by the Antoine equation, which can be written in the form: $\log _{10} P^{\mathrm{sat}} /(\mathrm{torr})=a-\frac{b}{t /^{\circ} \mathrm{C}+c}$ Here, parameters a, b, and c are substance-specific constants. Suppose this equation is to be rewritten in the equivalent form: $\ln P^{\operatorname{sat}} / \mathrm{kPa}=A-\frac{B}{T / \mathrm{K}+C}$ Show how the parameters in the two equations are related.
STATISTICS
The National Education Longitudinal Survey (NELS) tracks a nationally representative sample of U.S. students from eighth grade through high school and college. Research published in Chance (Winter 2001) examined the SAT scores of 265 NELS students who paid a private tutor to help them improve their scores. Toe table summarizes the changes in both the SAT-Mathematics and SAT-Verbal scores for these students. $$ \begin{matrix} \text{ } & \text{SAT-Math} & \text{SAT-Verbal}\\ \text{Mean change in score} & \text{19} & \text{7}\\ \text{Standard deviation of score changes} & \text{65} & \text{49}\\ \end{matrix} $$ a. Suppose one of the 265 students who paid a private tutor is selected at random. Give an interval that is likely to contain the change in this student's SAT-Math score. b. Repeat part a for the SAT-Verbal score. c. Suppose the selected student's score increased on one of the SAT tests by 140 points. Which test, the SAT-Math or SAT-Verbal, is the one most likely to have had the 140-point increase? Explain.
STATISTICS
The SAT and ACT college entrance exams are taken by thousands of students each year. The mathematics portions of each of these exams produce scores that are approximately normally distributed. In recent years, SAT mathematics exam scores have averaged 480 with standard deviation 100. The average and standard deviation for ACT mathematics scores are 18 and 6, respectively. An engineering school sets 550 as the minimum SAT math score for new students. What percentage of students will score below 550 in a typical year?
QUESTION
Eleanor scores 680 on the SAT Mathematics test. The distribution of SAT Math scores is symmetric and single-peaked with mean 500 and standard deviation 100. Gerald takes the American College Testing (ACT) Mathematics test and scores 29. ACT scores also follow a symmetric, single-peaked distribution-but with mean 21 and standard deviation 5. Find the standardized scores for both students. Assuming that both tests measure the same kind of ability, who has the higher score?
ALGEBRA2
Use this information: Johns Hopkins University compared the SAT math scores for the incoming 1989 freshman class to the scores for the incoming 2006 freshman class. Some of the data are presented below. Year 1989: 831 Students, Mean 662.6, Standard Deviation 68.2 Year 2006: 1211 Students, Mean 664.9, Standard deviation 62.5 When the scores for both classes are pooled into data set, the mean SAT math score is 664.0, which is not the average of the means of the two classes when considered separately. Explain why.
QUESTION
To be eligible for a university scholarship, a student must score at least 600 on the SAT verbal test and 600 on the SAT mathematics test and must have a combined verbal–mathematics score of 1325 or more. Write this as a system of inequalities.
QUESTION
Calculate the P-value for test of $$ H_0: \mu = 518 $$ $$ H_a: \mu > 518 $$ by hand or using the P-value of a Significance Test applet in each of this situation. The service coaches 100 students. Their SAT Math scores average $$ \bar{x} = 522 $$ .