Question
The Student News Service at Clear Mountain State University (CMSU) has decided to gather data about the undergraduate students that attend CMSU. CMSU creates and
The Student News Service at Clear Mountain State University (CMSU) has decided to gather data about the undergraduate students that attend CMSU. CMSU creates and distributes a survey of 14 questions and receives responses from 62 undergraduates (stored in theSurveydata set).
2.1. For this data, construct the following contingency tables (Keep Gender as row variable)
2.1.1. Gender and Major
2.1.2. Gender and Grad Intention
2.1.3. Gender and Employment
2.1.4. Gender and Computer
2.2. Assume that the sample is representative of the population of CMSU. Based on the data, answer the following question:
2.2.1. What is the probability that a randomly selected CMSU student will be male?
2.2.2. What is the probability that a randomly selected CMSU student will be female?
2.3. Assume that the sample is representative of the population of CMSU. Based on the data, answer the following question:
2.3.1. Find the conditional probability of different majors among the male students in CMSU.
2.3.2 Find the conditional probability of different majors among the female students of CMSU.
2.4. Assume that the sample is a representative of the population of CMSU. Based on the data, answer the following question:
2.4.1. Find the probability That a randomly chosen student is a male and intends to graduate.
2.4.2 Find the probability that a randomly selected student is a female and does NOT have a laptop.
2.5. Assume that the sample is representative of the population of CMSU. Based on the data, answer the following question:
2.5.1. Find the probability that a randomly chosen student is a male or has full-time employment?
2.5.2. Find the conditional probability that given a female student is randomly chosen, she is majoring in international business or management.
2.6.Construct a contingency table of Gender and Intent to Graduate at 2 levels (Yes/No). The Undecided students are not considered now and the table is a 2x2 table. Do you think the graduate intention and being female are independent events?
2.7. Note that there are four numerical (continuous) variables in the data set, GPA, Salary, Spending, and Text Messages.
Answer the following questions based on the data
2.7.1. If a student is chosen randomly, what is the probability that his/her GPA is less than 3?
2.7.2. Find the conditional probability that a randomly selected male earns 50 or more. Find the conditional probability that a randomly selected female earns 50 or more.
2.8. Note that there are four numerical (continuous) variables in the data set, GPA, Salary, Spending, and Text Messages. For each of them comment whether they follow a normal distribution.Summarize your conclusions.
Need Python Code along with answers
Data:
ID Gender Age Class Major Grad Intention GPA Employment Salary Social Networking Satisfaction Spending Computer Text Messages 1 Female 20 Junior Other Yes 2.9 Full-Time 50 1 3 350 Laptop 200 2 Male 23 Senior Management Yes 3.6 Part-Time 25 1 4 360 Laptop 50 3 Male 21 Junior Other Yes 2.5 Part-Time 45 2 4 600 Laptop 200 4 Male 21 Junior CIS Yes 2.5 Full-Time 40 4 6 600 Laptop 250 5 Male 23 Senior Other Undecided 2.8 Unemployed 40 2 4 500 Laptop 100 6 Female 22 Senior Economics/Finance Undecided 2.3 Unemployed 78 3 2 700 Laptop 30 7 Female 21 Junior Other Undecided 3 Part-Time 50 1 3 500 Laptop 50 8 Female 22 Senior Other Undecided 3.1 Full-Time 80 1 2 200 Tablet 300 9 Female 20 Junior Management Yes 3.6 Unemployed 30 0 4 500 Laptop 400 10 Female 21 Senior Economics/Finance Undecided 3.3 Part-Time 37.5 1 4 200 Laptop 100 11 Female 23 Senior Economics/Finance Yes 2.8 Full-Time 50 2 5 400 Laptop 200 12 Male 21 Senior Undecided No 3.5 Full-Time 37 2 3 500 Laptop 100 13 Male 22 Senior International Business Undecided 3.4 Part-Time 40 2 3 400 Desktop 45 14 Male 22 Senior International Business Undecided 3.1 Part-Time 40 1 3 400 Laptop 150 15 Male 21 Senior Management Yes 3.2 Part-Time 54 3 4 600 Laptop 400 16 Male 24 Senior Management Undecided 3.4 Part-Time 45 4 4 500 Laptop 175 17 Female 19 Junior CIS Undecided 3.7 Part-Time 55 1 4 450 Laptop 150 18 Male 21 Junior Economics/Finance Undecided 3.1 Part-Time 55 2 3 600 Laptop 300 19 Male 19 Junior Economics/Finance Yes 3.5 Part-Time 52 2 5 500 Laptop 300 20 Female 20 Junior Management Undecided 3.2 Unemployed 60 2 6 300 Laptop 350 21 Female 22 Junior Retailing/Marketing Undecided 3.2 Part-Time 55 1 3 690 Laptop 50 22 Male 18 Sophomore Accounting Undecided 3 Unemployed 60 1 4 600 Laptop 500 23 Female 22 Senior Retailing/Marketing Undecided 3 Part-Time 55 0 4 300 Laptop 35 24 Male 22 Senior Undecided Yes 2.6 Full-Time 45 1 5 400 Laptop 600 25 Female 20 Junior Economics/Finance Yes 3 Part-Time 55 1 3 600 Laptop 300 26 Male 24 Senior Management Yes 3.3 Full-Time 60 0 1 300 Laptop 40 27 Male 20 Junior Economics/Finance Yes 3.1 Full-Time 65 1 5 375 Laptop 300 28 Female 20 Junior International Business Yes 2.9 Part-Time 50 3 1 900 Laptop 100 29 Male 22 Senior Retailing/Marketing Yes 3.3 Part-Time 55 1 6 1100 Laptop 60 30 Male 20 Sophomore Retailing/Marketing Undecided 3.1 Part-Time 45 1 4 400 Laptop 140 31 Male 20 Junior Accounting Undecided 3.4 Part-Time 55 2 3 500 Laptop 750 32 Male 20 Junior Other Yes 2.9 Part-Time 47 3 1 300 Laptop 300 33 Male 20 Junior Accounting Yes 3.6 Part-Time 35 1 4 200 Laptop 70 34 Male 22 Senior Retailing/Marketing Yes 2.6 Full-Time 40 1 4 1400 Laptop 800 35 Female 19 Junior Retailing/Marketing Undecided 3.4 Part-Time 40 1 5 500 Laptop 300 36 Female 26 Junior Accounting Yes 3.3 Part-Time 60 1 4 450 Desktop 300 37 Male 21 Senior Management Yes 3.1 Part-Time 40 1 4 500 Laptop 100 38 Female 21 Sophomore Accounting Yes 2.5 Part-Time 60 2 3 500 Laptop 600 39 Male 24 Junior Economics/Finance Yes 2.8 Part-Time 50 1 6 600 Laptop 50 40 Male 19 Sophomore Retailing/Marketing Yes 2.5 Unemployed 50 2 5 300 Laptop 100 41 Male 22 Junior Accounting Yes 3.2 Full-Time 60 1 4 680 Desktop 200 42 Female 20 Junior Retailing/Marketing No 3.3 Part-Time 30 1 4 600 Laptop 350 43 Female 22 Senior Retailing/Marketing Undecided 3.5 Unemployed 40 2 5 300 Laptop 50 44 Female 21 Senior Retailing/Marketing No 3.9 Part-Time 30 1 5 100 Laptop 900 45 Female 21 Senior International Business No 3 Part-Time 30 2 5 650 Desktop 500 46 Female 21 Senior Management Undecided 3.8 Part-Time 60 1 4 650 Laptop 150 47 Female 20 Junior Retailing/Marketing Yes 3.5 Unemployed 60 1 3 350 Laptop 200 48 Male 19 Sophomore Undecided Undecided 2.5 Part-Time 80 2 4 500 Laptop 150 49 Female 21 Senior Economics/Finance Yes 3.2 Part-Time 47.5 2 4 220 Laptop 105 50 Female 21 Senior Economics/Finance Undecided 3 Part-Time 45 1 3 520 Laptop 105 51 Female 21 Junior Management No 3.5 Unemployed 35 2 4 600 Tablet 100 52 Male 21 Senior Management No 3 Part-Time 50 1 4 500 Laptop 200 53 Female 21 Senior Retailing/Marketing Undecided 3.7 Part-Time 40 3 4 300 Laptop 700 54 Male 21 Junior Retailing/Marketing No 3.4 Part-Time 40 1 5 500 Laptop 300 55 Male 21 Senior Other Yes 3.4 Part-Time 50 1 4 250 Desktop 700 56 Female 21 Senior Retailing/Marketing No 3.1 Part-Time 50 1 1 300 Laptop 300 57 Female 21 Senior International Business Yes 3.4 Part-Time 42 1 1 200 Laptop 100 58 Female 21 Senior International Business No 2.4 Part-Time 40 1 3 1000 Laptop 10 59 Female 20 Junior CIS No 2.9 Part-Time 40 2 4 350 Laptop 250 60 Female 20 Sophomore CIS No 2.5 Part-Time 55 1 4 500 Laptop 500 61 Female 23 Senior Accounting Yes 3.5 Part-Time 30 2 3 490 Laptop 50 62 Female 23 Senior Economics/Finance No 3.2 Part-Time 70 2 3 250 Laptop 0
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