Related questions
It is generally believed that there is a relationship between a college’s acceptance rate and its graduation rate. I wanted to know how strong this relationship is within the top universities in the country so I collected the graduation rate and acceptance rate data of a randomly selected sample of universities from all the top U.S. universities (with an acceptance rate at or below 30%). The data set is in Tab Q2 of the Excel data file.
a.) Create a
b) Calculate the
c) Calculate the Z scores for all the scores of the two variables, separately.Tips: It may help to prevent error and to increase clarity if the process and/or the answers (z scores) are listed in a table format.
d) Calculate Pearson’s
e) Explain the direction and strength of the relationship based on ther.
f ) What is the proportion of variance shared between the two variables? (That is, how much of the variance in one variable can be predicted by the variance in the other variable?)
g) If the researcher wants to perform a two-tailed hypothesis test using this data set so that she can generalize the relationship between the two variables from the sample to the population, what would be the null and alternative hypothesis? Write the hypotheses in words and in symbol notation.
Trending nowThis is a popular solution!
Step by stepSolved in 4 steps with 1 images
- I. Background The Food and Drug Administration (FDA) tries to find out whether there is a relation between the number of years people smoked and the percentage of lung damage. FDA asks you for your help to find it out. You interviewed twenty people who have smoked and obtained the following data. II. Technical report: a) Draw a scatter plot. b) Based on the scatter plot, explain whether the number of years and the percentage of lung damage are correlated. If they are correlated, discuss the strength of correlation, and the direction (positive or negative). c) Find the correlation coefficient r. Explain what r implies. d) Choose your own significance level a (1 suggests 0.1, 0.05 or 0.01). State and test the hypothesis. Explain what your findings mean. e) Do your observations in part (b) agree to the results from part (c) and (d)? Explain f) Find the regression line equation. Explain what the line implies. g) Draw the regression line on your scatter plot. h) A man has…arrow_forward3. Consider the following sets of data from Dataset II. For the dataset, determine what type of chart or graph would best represent those data (A-D). Explain your reasoning in detail. Pie chart Line graph Bar graph Scatter plot Dataset II: Carolyn collected data on rates of recycling participation over the last eight years to determine whether her city’s education program has been effective. In 2006, before the education program was implemented, 9% of the city’s residents recycled. Her data follows: Year Participation Rate 2006 9% 2007 13% 2008 17% 2009 22% 2010 28% 2011 31% 2012 32% 2013 30% 2014 31% What type of figure would best represent these data in Dataset II? ________ Reasoning:arrow_forwardIf a data set has 15 mean standard daviation 2 , percentage observation lie between 13 and 17arrow_forward
- After giving a statistics exam, professor Dang determined the following five-number summary for her class results: 60 68 77 89 98. Use this information to draw a box plot of the exam scoresarrow_forwardA statistical program is recommended. The Condé Nast Traveler Gold List provides ratings for the top 20 small cruise ships. The data shown below are the scores each ship received based upon the results from Condé Nast Traveler's Annual Readers' Choice Survey. Each score represents the percentage of respondents who rated a ship as excellent or very good on several criteria, including Shore Excursions and Food/Dining. An overall score was also reported and used to rank the ships. The highest ranked ship, the Seabourn Odyssey, has an overall score of 94.4, the highest component of which is 97.8 for Food/Dining. Shore Ship Overall Food/Dining Excursions Seabourn Odyssey 94.4 90.9 97.8 Seabourn Pride 93.0 84.2 96.7 National Geographic Endeavor 92.9 100.0 88.5 Seabourn Sojourn 91.3 94.8 97.1 Paul Gauguin 90.5 87.9 91.2 Seabourn Legend 90.3 82.1 98.8 Seabourn Spirit 90.2 86.3 92.0 Silver Explorer 89.9 92.6 88.9 Silver Spirit 89.4 85.9 90.8 Seven Seas Navigator 89.2 83.3 90.5 Silver Whisperer…arrow_forwardThe midterm and final exam grades for a statistics course are provided in the data set below. Jaymes, a student in the class, scored 86 on both exams. Treat the given data sets as samples. Midterm: 80, 78, 85, 82, 79, 79, 78, 86, 80, 84, 78, 84, 80, 84, 81, 78, 81, 82, 78, 84 Final: 81, 88, 68, 69, 69 81, 82, 86, 76, 71, 72, 68, 77, 86, 68, 83, 84, 71, 81, 87 z-score for midterm: 1.857 z-score for final: 1.181 Based on the z-scores calculated above, which of Jaymes's grades is more unusual, the midterm grade or the final exam grade? Select the correct answer below: A. The absolute value of the z-score for the final exam grade is greater than for the midterm grade, so the final exam grade is more unusual. B. The absolute value of the z-score for the midterm exam grade is less than for the final grade, so the midterm grade is more unusual. C. The absolute value of the z-score for the midterm exam grade is greater than for the final grade, so the midterm grade is more…arrow_forward
- MATLAB: An Introduction with ApplicationsStatisticsISBN:9781119256830Author:Amos GilatPublisher:John Wiley & Sons Inc
Probability and Statistics for Engineering and th...StatisticsISBN:9781305251809Author:Jay L. DevorePublisher:Cengage Learning
Statistics for The Behavioral Sciences (MindTap C...StatisticsISBN:9781305504912Author:Frederick J Gravetter, Larry B. WallnauPublisher:Cengage Learning 
Elementary Statistics: Picturing the World (7th E...StatisticsISBN:9780134683416Author:Ron Larson, Betsy FarberPublisher:PEARSON
The Basic Practice of StatisticsStatisticsISBN:9781319042578Author:David S. Moore, William I. Notz, Michael A. FlignerPublisher:W. H. Freeman
Introduction to the Practice of StatisticsStatisticsISBN:9781319013387Author:David S. Moore, George P. McCabe, Bruce A. CraigPublisher:W. H. Freeman