The accompanying data provides the results of a survey of 27 employees in a tax division of a Fortune 100 company. a. Test the null hypothesis that the average number of years of service is the same for males and females. Assume that the population variances are unequal. b. Test the null hypothesis that the average years of undergraduate study is the same for males and females. Assume that the population variances are unequal. Click the icon to view the survey data. a. Is there sufficient evidence at the 0.01 level of significance that the average number of years of service is the same for males and females? Determine the null hypothesis, Ho, and the alternative hypothesis, H₁. Let females be population 1 and males be population 2. Ho P-P2 H₁: P₁ - H = 0 (Type integers or decimals. Do not round.) Compute the test statistic. - 3.65 (Round to two decimal places as needed.) Find the p-value for the test. (Round to three decimal places as needed.)

The accompanying data provides the results of a survey of 27 employees in a tax division of a Fortune 100 company. a. Test the null hypothesis that the average number of years of service is the same for males and females. Assume that the population variances are unequal. b. Test the null hypothesis that the average years of undergraduate study is the same for males and females. Assume that the population variances are unequal. Click the icon to view the survey data. a. Is there sufficient evidence at the 0.01 level of significance that the average number of years of service is the same for males and females? Determine the null hypothesis, Ho, and the alternative hypothesis, H₁. Let females be population 1 and males be population 2. Ho P-P2 H₁: P₁ - H = 0 (Type integers or decimals. Do not round.) Compute the test statistic. - 3.65 (Round to two decimal places as needed.) Find the p-value for the test. (Round to three decimal places as needed.)

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 6P: In this chapter we showed how a simple random sample of 30 EAI employees can be used to develop...

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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.
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?
The Economic Policy Institute periodically issues reports on wages of entry-level workers. The institute reported that entry-level wages for male college graduates were $21.68 per hour and for female college graduates were $18.80 per hour in 2011. Assume that the standard deviation for male graduates is $2.30, and for female graduates it is $2.05. What is the sampling distribution of for a random sample of 50 male college graduates? What is the sampling distribution of for a random sample of 50 female college graduates? In which of the preceding two cases, part (a) or part (b), is the standard error of smaller? Why?
Suppose the following data represent the number of persons unemployed for a given number of months in Killeen, Texas. The values in the first column show the number of months unemployed and the values in the second column show the corresponding number of unemployed persons. Let x be a random variable indicating the number of months a randomly selected person is unemployed. Use the data to develop an empirical discrete probability distribution for x. Show that your probability distribution satisfies the conditions for a valid discrete probability distribution. What is the probability that a person is unemployed for two months or less? Unemployed for more than two months? What is the probability that a person is unemployed for more than six months?
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.
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
The Human Resources Manager for Optilytics LLC is evaluating applications for the position of Senior Data Scientist. The file OptilyticsLLC presents summary data of the applicants for the position. a. Use a PivotTable in Excel to create a joint probability table showing the probabilities associated with a randomly selected applicants sex and highest degree achieved. Use this joint probability table to answer the questions below. b. What are the marginal probabilities? What do they tell you about the probabilities associated with the sex of applicants and highest degree completed by applicants? c. If the applicant is female, what is the probability that the highest degree completed by the applicant is a PhD? d. If the highest degree completed by the applicant is a bachelors degree, what is the probability that the applicant is male? e. What is the probability that a randomly selected applicant will be a male whose highest completed degree is a PhD?
A researcher wants to estimate the average monthly income of individuals in a certain city. A random sample of 20 individuals is selected, and their monthly incomes (in dollars) are recorded as follows: 2,500 2,800 3,000 3,200 3,400 3,500 3,600 4,100 4,200 4,300 4,500 4,600 4,700 4,900 3,700 3,800 4,000 5,000 5,200 5,500 Assuming the incomes are normally distributed, calculate the 90% confidence interval for the average monthly income of individuals in the city.. Please show all the necessary steps and provide your answer with the appropriate interpretation. Hints: • Calculate the sample mean and sample standard deviation. . Determine the critical value (t-value) for a 90% confidence level. • Calculate the margin of error using the critical value and sample standard deviation. • Calculate the lower and upper bounds of the confidence interval using the sample mean and margin of error. • Interpret the confidence interval in the context of the problem. I
The mean height of women in a country (ages 20−29) is 63.9 inches. A random sample of 60 women in this age group is selected. What is the probability that the mean height for the sample is greater than 65 inches? Assume σ=2.84. The probability that the mean height for the sample is greater than 65 inches is nothing.
A study investigated the relationship between audit delay (the length of time from a companys fiscal year-end to the date of the auditors report) and variables that describe the client and the auditor. Some of the independent variables that were included in this study follow: A sample of 40 companies provided the following data: a. Develop the estimated regression equation using all of the independent variables included in the data. b. Test for an overall regression relationship at the 0.05 level of significance. Is there a significant regression relationship? c. How much of the variation in the sample values of delay does this estimated regression equation explain? What other independent variables could you include in this regression model to improve the fit? d. Test the relationship between each independent variable and the dependent variable at the 0.05 level of significance, and interpret the relationship between each of the independent variables and the dependent variable. e. On the basis of your observations about the relationships between the dependent variable Delay and the independent variables Quality and Finished, suggest an alternative regression equation to the model developed in part a to explain as much of the variability in Delay as possible.
A prospective MBA student would like to examine the factors that impact starting salary upon graduation and decides to develop a model that uses program per-year tuition as a predictor of starting salary. Data were collected for 37 full-time MBA programs offered at private universities. The data are stored in the accompanying table. The least-squares regression equation for these data is Y₁ = - 13,863.426 +2.437X, and the standard error of the estimate is Syx = 15,910.578. Assume that the straight-line model is appropriate and there are no serious violations the assumptions of the least-squares regression model. Complete parts (a) and (b) below Click the icon to view the data on program per-year tuition and mean starting salary a. At the 0.01 level of significance, is there evidence of a linear relationship between the starting salary upon graduation and program per-year tuition? Determine the hypotheses for the test. Ho B₁ = D H₁ P₁ #0 (Type integers or decimals. Do not round.)…
A two-sample test for means was conducted to determine if the completion time for continuing education programs for nurses differed when costs are paid by employers (Yes) versus when individuals paid out of their own funds (No). The Excel Data Analysis tool results are provided. Complete parts a through c below Click the icon to view the Excel Data Analysis tool results. a. Explain how to use this information to draw a conclusion if the null hypothesis is Hoy - 50. Clearly state the correct cribcal value and p-value and your conclusion. The alternative hypothesis is H₁: The p-value is (Type an integer or a decimal rounded to Bree decimal places as needed.) Therefore, the null hypothesis. The data provide sufficient evidence to conclude that the mean completion time is Excel Data Analysis tool results t-Test Two-Sample Assuming Unequal VananDES Mean Variance Yes 34.081 445.045 No 28.601 348.065 for nurses when costs are paid by employers. Observations 12 8 Hypothesized Mean Difference 0…