The following data consist of the present school enrollment of the Dr. Vesse High School. A study on the recent teaching strategies will be conducted in this schoo How many samples should the researcher

The following data consist of the present school enrollment of the Dr. Vesse High School. A study on the recent teaching strategies will be conducted in this schoo How many samples should the researcher

Essentials of Business Analytics (MindTap Course List)

2nd Edition

ISBN:9781305627734

Author:Jeffrey D. Camm, James J. Cochran, Michael J. Fry, Jeffrey W. Ohlmann, David R. Anderson

Publisher:Jeffrey D. Camm, James J. Cochran, Michael J. Fry, Jeffrey W. Ohlmann, David R. Anderson

Chapter6: Statistical Inference

Section: Chapter Questions

Problem 33P

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A marketing professor at Givens College is interested in the relationship between hours spent studying and total points earned in a course. Data collected on 156 students who took the course last semester are provided in the tile MktHrsPts. Develop a scatter chart for these data. What does the scatter chart indicate about the relationship between total points earned and hours spent studying? Develop an estimated regression equation showing how total points earned is related to hours spent studying. What is the estimated regression model? Test whether each of the regression parameters β0 and β1 is equal to zero at a 0.01 level of significance. What are the correct interpretations of the estimated regression parameters? Are these interpretations reasonable? How much of the variation in the sample values of total point earned does the model you estimated in part (b) explain? Mark Sweeney spent 95 hours studying. Use the regression model you estimated in part (b) to predict the total points Mark earned.
Suppose that the national average for the math portion of the College Boards SAT is 515. The College Board periodically rescales the test scores such that the standard deviation is approximately 100. Answer the following questions using a bell-shaped distribution and the empirical rule for the math test scores. a. What percentage of students have an SAT math score greater than 615? b. What percentage of students have an SAT math score greater than 715? c. What percentage of students have an SAT math score between 415 and 515? d. What is the z-score for student with an SAT math score of 620? e. What is the z-score for a student with an SAT math score of 405?
A professor wants to investigate the relationship between the grades students obtain in their midterm exam (X) and the grades they obtain (Y) in the final exam. The professor collects data from 60 randomly chosen students. The estimated OLS regression is Ý = 45 +0.85X, where Y, denotes the predicted value of the grades obtained in the final exam by the " individual and X, denotes the grades obtained in the midterm exam. From the sample data he makes the following calculations: 60 3230 48, j= 1 60 3D1 ^2 where u, is the square of the residual for the " observation. He wants to test whether the grades obtained in the midterm exam have any effect on the grades obtained in the final exam or not. Which of the following are the null and the alternative hypotheses of the test the professor wishes to conduct? OA. Ho B1=0 vs. H B1 #0. Ho: B1=0 vs. H B, #0. O B. Ho B=D0.85 vs. H, B,#0.85. C. Ho BA #0 vs. HA B.=0. Click to select your answer(s). DAL Type here to search II
In this chapter we showed how a simple random sample of 30 EAI employees can be used to develop point estimates of the population mean annual salary, the population standard deviation for annual salary, and the population proportion having completed the management training program. a. Use Excel to select a simple random sample of 50 EAI employees. b. Develop a point estimate of the mean annual salary. c. Develop a point estimate of the population standard deviation for annual salary. d. Develop a point estimate of the population proportion having completed the management training program.
The Graduate Management Admission Test (GMAT) is a standardized exam used by many universities as part of the assessment for admission to graduate study in business. The average GMAT score for a university is 549. Assume that GMAT scores are bell-shaped with a standard deviation of 50. If required, round your answers to one decimal place. (a) What percentage of GMAT scores are 599 or higher? (b) What percentage of GMAT scores are 649 or higher? (c) What percentage of GMAT scores are between 499 and 549? (d) What percentage of GMAT scores are between 449 and 599?
A sociologist was hired by a large city hospital to investigate the relationship between the number of unauthorized days that employees are absent per year and the distance (miles) between home and work for the employees. A sample of 10 employees was chosen, and the following data were collected. a. Develop a scatter chart for these data. Does a linear relationship appear reasonable? Explain. b. Use the data to develop an estimated regression equation that could be used to predict the number of days absent given the distance to work. What is the estimated regression model? c. What is the 99% confidence interval for the regression parameter 1? Based on this interval, what conclusion can you make about the hypotheses that the regression parameter 1 is equal to zero? d. What is the 99% confidence interval for the regression parameter 0? Based on this interval, what conclusion can you make about the hypotheses that the regression parameter 0 is equal to zero? e. How much of the variation in the sample values of number of days absent does the model you estimated in part (b) explain?
Approximately 1.65 million high school students take the Scholastic Aptitude Test (SAT) each year, and nearly 80 percent of the college and universities without open admissions policies use SAT scores in making admission decisions. The current version of the SAT includes three parts: reading comprehension, mathematics, and writing. A perfect combined score for all three parts is 2400. A sample of SAT scores for the combined three-part SAT are as follows: a. Show a frequency distribution and histogram. Begin with the first bin starting at 800, and use a bin width of 200. b. Comment on the shape of the distribution. c. What other observations can be made about the SAT scores based on the tabular and graphical summaries?
2. Which of these distributions would you expect to have the highest standard deviation? Age of children in a fourth grade classroom Height of players on a high school basketball team Number of books read by people in New York State Number of M&Ms in a sample of 10 M&M packets
The Scholastic Aptitude Test (or SAT) is a standardized college entrance test that is used by colleges and universities as a means for making admission decisions. The critical reading and mathematics components of the SAT are reported on a scale from 200 to 800. Several universities believe these scores are strong predictors of an incoming student’s potential success, and they use these scores as important inputs when making admission decisions on potential freshman. The tile RugglesCollege contains freshman year GPA and the critical reading and mathematics SAT scores for a random sample of 200 students who recently completed their freshman year at Ruggles College. Develop an estimated multiple regression equation that includes critical reading and mathematics SAT scores as independent variables. How much variation in freshman GPA is explained by this model? Test whether each of the regression parameters β0, β1, and β2, is equal to zero at a 0.05 level of significance. What are the correct interpretations of the estimated regression parameters? Are these interpretations reasonable? Using the multiple linear regression model you developed in part (a), what is the predicted freshman GPA of Bobby Engle, a student who has been admitted to Ruggles College with a 660 SAT score on critical reading and at a 630 SAT score on mathematics? The Ruggles College Director of Admissions believes that the relationship between a student’s scores on the critical reading component of the SAT and the student’s freshman GPA varies with the student’s score on the mathematics component of the SAT. Develop an estimated multiple regression equation that includes critical reading and mathematics SAT scores and their interaction as independent variables. How much variation in freshman GPA is explained by this model? Test whether each of the regression parameters β0, β1, β2, and β3 is equal to zero at a 0.05 level of significance. What are the correct interpretations of the estimated regression parameters? Do these results support the conjecture made by the Ruggles College Director of Admissions? Do you prefer the estimated regression model developed in part (a) or part (c)? Explain. What other factors could be included in the model as independent variables?
Using Appendix B of this book, select a simple random sample of 10 numbers in the range from 1 to 9,876. What is each step in the process?
Using the variable "Accounting Literacy," provide a five different title for a correlational study. Consider including a further variable that will help the title to be a correlational study. Ensure that only college students-specifically, accounting students-were required to participate as respondents in the study.
A test was given to a group of students. The grades and gender are summarized below A B C Total Male 10 6 18 34 Female 3 20 8 31 Total 13 26 26 65 If one student is chosen at random from those who took the test, Find the probability that the student got a 'A' GIVEN they are male. Round to 4 decimal places, as needed.