Problem 2 [25 points]: A study was conducted to understand h…

Problem 2 : A study was conducted to understand how American college students manage their finances. Each person in a representative sample of 600 college students was asked if they had one or more credit cards. If so, whether they paid their balance in full each month. There were 400 who did not pay balance in full each month. For this sample of 400 students, the sample mean credit card balance was reported to be $850. For purposes of this exercise, assume population standard deviation is $250. Is there convincing evidence that college students who do not pay their credit card balance in full each month have a mean balance that is greater than $820 at 0.02 level of significance?   The above Problem Description applies to all the Questions 1 through 25 below. Note: To make it convenient for you, I have copied this problem description into the questions below wherever you need it. That way you can limit scrolling up-and-down and it will save time for you. Note: You must answer all the questions for this problem. For any questions that require Excel to find answers, I must see you working in Excel in the Honorlock recording. If I don’t see you working on the Excel file with Excel functions in the Honorlock recording and if less than honest means are resorted to, the Exam cannot be graded. Your work and your work alone must reflect on this Exam. You will be submitting Excel file at the last question. Indicate the Question number for the answers your are going to show in Excel.  Note: Any resources you use on Canvas, must be visible in the Honorlock recording. If students use any resources other than the textbook and the resources on Canvas, that amounts to academic integrity violation and will be reported to USF for further action, Note: Students are prohibited from copying and discussing the questions before, during, and after the Exam with anyone else. Students are prohibited from sharing their Excel files with each other. All such things amount to violation of academic integrity. Any academic integrity violations will be reported to USF for further action. As long as students work on the Exam honestly maintaining acaemic integrity, there is nothing they should be concerned about. Thank you.

A study was conducted to understand how American college stu…

A study was conducted to understand how American college students manage their finances. Each person in a representative sample of 600 college students was asked if they had one or more credit cards. If so, whether they paid their balance in full each month. There were 400 who did not pay balance in full each month. For this sample of 400 students, the sample mean credit card balance was reported to be $850. For purposes of this exercise, assume population standard deviation is $250. Is there convincing evidence that college students who do not pay their credit card balance in full each month have a mean balance that is greater than $820 at 0.02 level of significance? What does the parameter “Mu” stands for in this Hypothesis Testing problem?

A study was conducted to understand how American college stu…

A study was conducted to understand how American college students manage their finances. Each person in a representative sample of 600 college students was asked if they had one or more credit cards. If so, whether they paid their balance in full each month. There were 400 who did not pay balance in full each month. For this sample of 400 students, the sample mean credit card balance was reported to be $850. For purposes of this exercise, assume population standard deviation is $250. Is there convincing evidence that college students who do not pay their credit card balance in full each month have a mean balance that is greater than $820 at 0.02 level of significance? What is rejection criteria under the Confidence Interval approach in this Hypothesis Test?

A study was conducted to understand how American college stu…

A study was conducted to understand how American college students manage their finances. Each person in a representative sample of 600 college students was asked if they had one or more credit cards. If so, whether they paid their balance in full each month. There were 400 who did not pay balance in full each month. For this sample of 400 students, the sample mean credit card balance was reported to be $850. For purposes of this exercise, assume population standard deviation is $250. Is there convincing evidence that college students who do not pay their credit card balance in full each month have a mean balance that is greater than $820 at 0.02 level of significance? What is the appropriate Alternative Hypothesis (Ha) for this problem?

A study was conducted to understand how American college stu…

A study was conducted to understand how American college students manage their finances. Each person in a representative sample of 600 college students was asked if they had one or more credit cards. If so, whether they paid their balance in full each month. There were 400 who did not pay balance in full each month. For this sample of 400 students, the sample mean credit card balance was reported to be $850. For purposes of this exercise, assume population standard deviation is $250. Is there convincing evidence that college students who do not pay their credit card balance in full each month have a mean balance that is greater than $820 at 0.02 level of significance? Given the problem description and based on the statistical theory, the “Standard Deviation (Sigma)” of the “sampling distribution of Xbar” is (approximately) ________________.

Problem 3: [25 points]  An online recruiting firm reports th…

Problem 3:   An online recruiting firm reports that the average annual starting salary for graduates with bachelor’s degrees in business in the United States was $60,000 in 2022. The results for a sample of 100 business majors receiving a bachelor’s degree who took jobs in Boston showed a mean starting salary of $62,000 with a sample standard deviation of $5,000 in 2022. Conduct a hypothesis test at 0.03 level of significance to determine whether the mean starting salary for business majors who took jobs in Boston is different from the mean starting salary nationwide in 2022.   The above Problem Description applies to all the Questions 1 through 25 below. Note: To make it convenient for you, I have copied this problem description into the questions below wherever you need it. That way you can limit scrolling up-and-down and it will save time for you. Note: You must answer all the questions for this problem. For any questions that require Excel to find answers, I must see you working in Excel in the Honorlock recording. If I don’t see you working on the Excel file with Excel functions in the Honorlock recording and if less than honest means are resorted to, the Exam cannot be graded. Your work and your work alone must reflect on this Exam. You will be submitting Excel file at the last question. Indicate the Question number for the answers your are going to show in Excel.  Note: Any resources you use on Canvas, must be visible in the Honorlock recording. If students use any resources other than the textbook and the resources on Canvas, that amounts to academic integrity violation and will be reported to USF for further action, Note: Students are prohibited from copying and discussing the questions before, during, and after the Exam with anyone else. Students are prohibited from sharing their Excel files with each other. All such things amount to violation of academic integrity. Any academic integrity violations will be reported to USF for further action. As long as students work on the Exam honestly maintaining acaemic integrity, there is nothing they should be concerned about. Thank you.

A study was conducted to understand how American college stu…

A study was conducted to understand how American college students manage their finances. Each person in a representative sample of 600 college students was asked if they had one or more credit cards. If so, whether they paid their balance in full each month. There were 400 who did not pay balance in full each month. For this sample of 400 students, the sample mean credit card balance was reported to be $850. For purposes of this exercise, assume population standard deviation is $250. Is there convincing evidence that college students who do not pay their credit card balance in full each month have a mean balance that is greater than $820 at 0.02 level of significance? Given the problem description and based on the statistical theory and the Hypothesis statements, the “Expected value (Mu)” of the “sampling distribution of Xbar” is ________________.

A study was conducted to understand how American college stu…

A study was conducted to understand how American college students manage their finances. Each person in a representative sample of 600 college students was asked if they had one or more credit cards. If so, whether they paid their balance in full each month. There were 400 who did not pay balance in full each month. For this sample of 400 students, the sample mean credit card balance was reported to be $850. For purposes of this exercise, assume population standard deviation is $250. Is there convincing evidence that college students who do not pay their credit card balance in full each month have a mean balance that is greater than $820 at 0.02 level of significance? What is/are the computed the Critical-value/s (rounded to three digits after the decimal) for this Hypothesis Test?

A study was conducted to understand how American college stu…

A study was conducted to understand how American college students manage their finances. Each person in a representative sample of 600 college students was asked if they had one or more credit cards. If so, whether they paid their balance in full each month. There were 400 who did not pay balance in full each month. For this sample of 400 students, the sample mean credit card balance was reported to be $850. For purposes of this exercise, assume population standard deviation is $250. Is there convincing evidence that college students who do not pay their credit card balance in full each month have a mean balance that is greater than $820 at 0.02 level of significance? Based on the given problem description, it is safe to assume that the shape of the population distribution is ________________.