# Data Analytics with Python | NPTEL | Week 5 Assignment Solutions

This set of MCQ(multiple choice questions) will help you with the answers of Data Analytics with Python NPTEL Week 5 Assignment Solutions.

### Course layout

Week 1: Basics of Python Spyder
Week 2 :
Introduction to probability
Week 3 : Sampling and sampling distributions

Week 4 : Hypothesis testing

Week 5 : Two sample testing and introduction to ANOVA

Week 6 : Two way ANOVA and linear regression

Week 7 : Linear regression and multiple regression

Week 8 : Concepts of MLE and Logistic regression

Week 9 : ROC and Regression Analysis Model Building
Week 10 :
c2Â Test and introduction to cluster analysis
Week 11 : Clustering analysis

Week 12 : Classification and Regression Trees (CART)

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### Data Analytics with Python NPTEL Week 5 Assignment Solutions

Q1. In the analysis of variance procedure (ANOVA) the term “factor” refers to:

a) the dependent variable
b) the independent variable
c) different levels of a treatment
d) the critical value of F

Q2. In a problem of ANOVA, involving 3 treatments and 10 observations per treatment, SSE = 500. The MSE for this situation is:

a) 130.2
b) 48.8
c) 18.52
d) 30.0

Q3. The â€˜Fâ€™ ratio in a completely randomized ANOVA is the ratio of

a) MST/MSE
b) MSTR/MSE
c) MSE/MSTR
d) MSE/MST

Q4. An ANOVA procedure is applied to data obtained from 7 samples where each sample contains 10 observations. The degrees of freedom for the critical value of F are:

a) 7 numerator and 20 denominator degrees of freedom
b) 5 numerator and 20 denominator degrees of freedom
c) 6 numerator and 63 denominator degrees of freedom
d) 7 numerator and 63 denominator degrees of freedom

Answer: c) 6 numerator and 63 denominator degrees of freedom

Data Analytics with Python NPTEL Week 5 Assignment Solutions

Q5. In an ANOVA problem if SST = 200 and SSTR = 80, then SSE is

a) 280
b) 120
c) 80
d) 220

Q6. The critical F value with 8 numerator and 29 denominator degrees of freedom at alpha = 0.01 is

a) 2.18
b) 3.20
c) 3.53
d) 3.94

Q7. Two Independent simple random samples are taken to test the difference between the means of two populations. The standard deviations are not known, but are assumed to be equal. The sample sizes are n1 = 15 and n2 = 35. The correct distribution to use is the:

a) t distribution with 51 degrees of freedom
b) z distribution with 50 degrees of freedom
c) z distribution with 49 degrees of freedom
d) t distribution with 48 degrees of freedom

Answer: d) t distribution with 48 degrees of freedom

Data Analytics with Python NPTEL Week 5 Assignment Solutions

Q8.

Stare true or false:
Statement: The sampling distribution of two populations P bar1 -P bar2   is approximated by a normal distribution

a) True
b) False

Q9. Mean marks obtained by male and female students of school ABCD in first unit test are shown as below.

Male  Female
Sample Size                   64      36
Sample Mean Marks    44      41
Population Variance    128    72
The standard error for the difference between the two means is

a) 4.0
b) 7.46
c) 4.24
d) 2.0

Q10. Mean marks obtained by male and female students of school ABCD in first unit test are shown as below.

Male  Female
Sample Size                   64      36
Sample Mean Marks    44      41
Population Variance    128    72
If you are interested in testing whether or not the average marks of males is significantly greater than that of females, the test statistic is:

a) 2.0
b) 1.5
c) 1.96
d) 1.645

Data Analytics with Python NPTEL Week 5 Assignment Solutions

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