Need instant help with Maths
INSTRUCTIONS
| QMB3200 | |||||||||||
| APPLICATION OF QUANTITATIVE METHODS IN BUSINESS | NAME OF STUDENT COMPLETING THIS ASSIGNMENT | ||||||||||
| INTERIM ASSIGNMENT | Oriana Nunes | ||||||||||
| Prof. Gladys E. Simpson | |||||||||||
| Version: | FALL 2017 | THIS IS AN INDIVIDUAL ASSIGNMENT | |||||||||
| DATA | Student# | #6100252 | |||||||||
| Definitions | Gender | female | |||||||||
| ClassLevel | sophmore | ||||||||||
| Age | 20 | ||||||||||
| GPA | 3.5 | ||||||||||
| HasStudentLoan | no | ||||||||||
| LoanBalance | NA | ||||||||||
| This excel file contains several worksheets that have specific questions (10 total). | |||||||||||
| You can add additional worksheets if you need to include supplemental material. | |||||||||||
| to support your answers | |||||||||||
| View Instructions / video demo | |||||||||||
| The video has the narrative for a very similar exercise completed in prior semesters | |||||||||||
| Spring 2016 Q&A Session - Loan Questions |
DATA
| The data below is fictitious and has been created using formulas to generate different | Class Levels | Gender | ||||||||||
| values for each column of data for each file. | 1 | Freshman | 1 | Female | ||||||||
| You Need to Copy and Paste the VALUES below BEFORE analyzing the data | 2 | Sophmore | 2 | Male | ||||||||
| to create your own version of the dataset. | 3 | Junior | ||||||||||
| (All students will have different versions of this data) | 4 | Senior | ||||||||||
| DATA | ||||||||||||
| Student# | Gender | ClassLevel | Age | GPA | HasLoans | LoanBalance (Thoursands US$) | ||||||
| 1 | Male | Senior | 22 | 2.50 | Yes | 28.21 | QUESTION 1: | Identify the Type of Variables and Levels of Measurement | ||||
| 2 | Female | Sophmore | 21 | 2.07 | Yes | 4.23 | ||||||
| 3 | Female | Junior | 21 | 2.25 | Yes | 12.60 | Variable | Type | Level of Measurement | |||
| 4 | Male | Freshman | 26 | 1.46 | No | 0.00 | Gender | Qualitative | Nominal | |||
| 5 | Female | Senior | 21 | 2.25 | Yes | 16.39 | ClassLevel | Qualitative | Ordinal | |||
| 6 | Female | Junior | 23 | 3.02 | Yes | 12.01 | Age | Quantitative | Interval | |||
| 7 | Female | Senior | 24 | 3.22 | Yes | 20.25 | GPA | Quantitative | Interval | |||
| 8 | Male | Senior | 24 | 3.47 | Yes | 24.55 | HasLoans | Qualitative | Nominal | |||
| 9 | Male | Freshman | 24 | 1.08 | Yes | 5.19 | LoanBalance | Quantitative | Ratio | |||
| 10 | Female | Freshman | 22 | 2.41 | No | 0.00 | ||||||
| 11 | Male | Freshman | 24 | 2.15 | No | 0.00 | Question 2a. Create a Pie Chart to illustrate the distribution of the variable "ClassLevel" | |||||
| 12 | Male | Sophmore | 25 | 1.42 | Yes | 10.51 | Make sure your graph has appropriate title and labels. | |||||
| 13 | Female | Sophmore | 24 | 3.47 | Yes | 10.33 | Font size should be readable. Display % and Category Name (Class level) on each Slice. | |||||
| 14 | Female | Freshman | 23 | 3.40 | Yes | 5.31 | ||||||
| 15 | Female | Sophmore | 20 | 2.29 | Yes | 8.09 | Class Level | # of Students | ||||
| 16 | Male | Freshman | 24 | 3.42 | No | 0.00 | Freshman | 19 | ||||
| 17 | Male | Freshman | 21 | 3.32 | Yes | 6.90 | Sophmore | 14 | ||||
| 18 | Male | Sophmore | 25 | 3.44 | Yes | 8.67 | Junior | 12 | ||||
| 19 | Female | Senior | 20 | 3.35 | Yes | 20.27 | Senior | 15 | ||||
| 20 | Female | Senior | 21 | 2.02 | No | 0.00 | ||||||
| 21 | Female | Junior | 25 | 3.32 | No | 0.00 | ||||||
| 22 | Male | Freshman | 24 | 3.05 | Yes | 4.91 | ||||||
| 23 | Female | Senior | 20 | 3.50 | Yes | 8.16 | ||||||
| 24 | Male | Freshman | 22 | 2.18 | Yes | 6.39 | ||||||
| 25 | Male | Freshman | 26 | 1.12 | Yes | 7.25 | ||||||
| 26 | Female | Sophmore | 22 | 2.36 | Yes | 6.09 | ||||||
| 27 | Male | Freshman | 22 | 2.33 | Yes | 4.69 | ||||||
| 28 | Female | Junior | 25 | 2.37 | No | 0.00 | ||||||
| 29 | Female | Senior | 23 | 2.41 | Yes | 8.52 | ||||||
| 30 | Male | Sophmore | 22 | 2.26 | Yes | 14.06 | ||||||
| 31 | Male | Junior | 22 | 2.28 | Yes | 12.55 | ||||||
| 32 | Female | Freshman | 24 | 3.28 | Yes | 5.90 | ||||||
| 33 | Female | Sophmore | 22 | 3.18 | Yes | 10.78 | ||||||
| 34 | Male | Junior | 24 | 3.45 | No | 0.00 | ||||||
| 35 | Female | Senior | 24 | 2.42 | Yes | 16.20 | ||||||
| 36 | Male | Junior | 24 | 3.23 | No | 0.00 | ||||||
| 37 | Female | Senior | 25 | 3.27 | Yes | 16.95 | ||||||
| 38 | Female | Freshman | 20 | 3.32 | No | 0.00 | ||||||
| 39 | Female | Junior | 24 | 3.22 | Yes | 6.83 | ||||||
| 40 | Female | Junior | 23 | 2.12 | Yes | 12.13 | ||||||
| 41 | Female | Senior | 22 | 3.23 | Yes | 16.44 | ||||||
| 42 | Male | Freshman | 21 | 3.38 | No | 0.00 | ||||||
| 43 | Male | Senior | 26 | 1.42 | Yes | 16.36 | ||||||
| 44 | Male | Freshman | 24 | 1.08 | No | 0.00 | ||||||
| 45 | Female | Sophmore | 22 | 3.38 | Yes | 4.12 | ||||||
| 46 | Male | Sophmore | 26 | 2.09 | Yes | 10.88 | ||||||
| 47 | Male | Sophmore | 24 | 3.36 | Yes | 12.54 | ||||||
| 48 | Male | Freshman | 25 | 3.15 | Yes | 4.57 | ||||||
| 49 | Male | Sophmore | 24 | 3.12 | No | 0.00 | ||||||
| 50 | Male | Sophmore | 21 | 3.19 | Yes | 14.28 | ||||||
| 51 | Female | Junior | 21 | 2.12 | Yes | 15.00 | ||||||
| 52 | Male | Sophmore | 23 | 2.32 | Yes | 8.53 | ||||||
| 53 | Male | Senior | 24 | 3.32 | Yes | 16.28 | ||||||
| 54 | Female | Senior | 21 | 2.28 | Yes | 8.44 | ||||||
| 55 | Male | Freshman | 21 | 1.37 | No | 0.00 | ||||||
| 56 | Male | Junior | 23 | 2.46 | No | 0.00 | ||||||
| 57 | Male | Senior | 25 | 1.19 | Yes | 28.13 | ||||||
| 58 | Male | Freshman | 23 | 3.13 | Yes | 7.63 | ||||||
| 59 | Male | Junior | 21 | 3.30 | No | 0.00 | ||||||
| 60 | Female | Freshman | 20 | 2.03 | Yes | 4.40 |
# of Students
Freshman Sophmore Junior Senior 19.0 14.0 12.0 15.0
FREQUENCY-PROB
| QUESTION 3: Create a frequency table for the variables gender and class level | QUESTION 5: Create a probability table for the distribution of gender and class level | ||||||||||||
| Class Level | Female | Male | Total | Class Level | Female | Male | total | ||||||
| Freshman | Freshman | ||||||||||||
| Sophmore | Sophmore | ||||||||||||
| Junior | Junior | ||||||||||||
| Senior | Senior | ||||||||||||
| Total | total | 1.00 | |||||||||||
| QUESTION 4: | Illustrate the distribution of Gender and Class level by creating a graph | QUESTION 6: | Answer the following questions based on your results. | ||||||||||
| that includes both variables in a single Bar graph or Column graph | |||||||||||||
| Do NOT include bars for the total row/column on the graph. | A | If a male student is randomly selected from the sample, what is the probability that it is a freshman ? | |||||||||||
| Answer A | |||||||||||||
| B | If we select a JUNIOR from the sample, what is the probability that is a FEMALE ? | ||||||||||||
| Answer B | |||||||||||||
| C | If a student selected from the sample, what is the probability that the selected student is a male sophmore ? | ||||||||||||
| Answer C | |||||||||||||
| D | What is the percentage of SENIORS in the sample ? | ||||||||||||
| Answer D |
AGE
| Assuming this data represents a random sample of all US college students, | ||||
| Use an appropriate statistical inference procedure from the ones we've studied so answer the questions below. | ||||
| QUESTION 7 | Based on this sample, is there evidence that male students are older on the average than female students ? | |||
| Use significance level alpha=1%. Is the conclusion the same using significance level alpha = 10% ? Comment on your results | ||||
| AGE | ||||
| Gender | n | Mean | Std deviation | |
| Female | ||||
| Male | ||||
| Total | ||||
| Test Statistic T | ||||
| P-VALUE | ||||
| Conclusion For 1% significance | ||||
| Conclusion For 10% significance | ||||
| Comments | ||||
LOANS
| Assuming this data represents a random sample of all US college students, | ||||
| Use an appropriate statistical inference procedure from the ones we've studied so answer the questions below. | ||||
| QUESTION 8 | Based on this sample, is the there evidence of a diference between the proportion of female and male students who have loans ? | |||
| Use significance level alpha=5%. Is the conclusion the same using significance level alpha = 10% ? Comment on your results | ||||
| Include a copy of all work, including pivot tables and/ or templates used. Templates can be included as an image or the actual worksheets. | ||||
| X | n | proportion | ||
| Gender | #withLoans | |||
| Female | ||||
| Male | ||||
| Total | ||||
| Test Statistic | ||||
| P-VALUE | ||||
| Conclusion For 5% significance | ||||
| Conclusion For 10% significance | ||||
| Comments | ||||
LOANBALANCE
| Assuming this data represents a random sample of all US college students, | |||||||
| Use an appropriate statistical inference procedure from the ones we've studied so answer the questions below based on this sample. | |||||||
| QUESTION 9a | Provide a point estimate and a 95% confidence interval for the average loan balance of US college students with loans. | ||||||
| Assume that the population standard deviation for the loan balance of students with loans is known to be $1,850. | |||||||
| Include a copy of all work, including pivot tables and/ or templates used. HINT: CONSIDER ONLY STUDENTS WITH LOANS. | |||||||
| Point Estimate for the average loan balance | |||||||
| Margin of Error for 95% confidence interval | |||||||
| 95% Confidence Interval for the average loan balance | to | ||||||
| QUESTION 9b | If we wanted to estimate the 95% confidence interval above with a margin of error of 300 dollars | ||||||
| How many students should we have in our sample ? | |||||||
| Number of students |