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### 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 :**

**c**

^{2}Â 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 4 Assignment Solutions

**Q1.** If we have a sample size of 20 and population standard deviation is known, we will use:

a) t- test for hypothesis testing

b) z-test for hypothesis testing

c) both t and z test

d) F-test

Answer: b)

**Q2.** Null hypothesis, Ho: mu1- mu2 = 0 is a:

a) Upper tail test

b) Lower tail test

c) Two tail test

d) F-test

Answer: c)

**Q3.** The quality-control manager at a Li-BATTERY factory needs to determine whether the mean life of a large shipment of Li-Battery is equal to the specified value of 375 hours. The process standard deviation is known to be 100 hours. A random sample of 64 batteries indicates a sample mean life of 350 hours.

State the null and alternative hypotheses

a) Mu = 375

b) Mu â‰¤ 375

c) Mu = 350

d) Mu â‰¥ 350

Answer: a)

**Q4.** The quality-control manager at a Li-BATTERY factory needs to determine whether the mean life of a large shipment of Li-Battery is equal to the specified value of 375 hours. The process standard deviation is known to be 100 hours. A random sample of 64 batteries indicates a sample mean life of 350 hours.

At the alpha = 0.05 level of significance is there any evidence that the mean life is different from 375 hours?

a) Yes, there is

b) No, there is not

c) None of these

Answer: a)

**Q5.** For one-tailed test, the test statistic z is determined to be zero. The p-value for this test is:

a) Zero

b) -0.5

c) +0.5

d) 1.0

Answer: c)

**Q6.** The error of rejecting a true null hypothesis is:

a) Type I error

b) Type II error

c) is the same as Beta

d) committed when not enough information is available

Answer: a)

**Q7.** The mean cost of a hotel room in a city is said to be $168 per night. A random sample of 25 hotels resulted in X-bar = $172.50 and sample standard deviation s = 15.40. Calculate the t statistic.

a) 2

b) -2

c) 1.46

d) -1.46

Answer: c)

**Q8.** In hypothesis testing if the null hypothesis is rejected,

a) no conclusions can be drawn from the test

b) the alternative hypothesis is true

c) the data must have been accumulated incorrectly

d) the sample size has been too small

Answer: b)

**Q9.** In the hypothesis testing procedure, alpha is

a) 1 – the level of significance

b) the critical value

c) the confidence level

d) the level of significance

Answer: d)

**Q10.** If a hypothesis is rejected at the 5% level of significance, it

a) will always be rejected at the 1% level

b) will always be accepted at the 1% level

c) will never be tested at the 1% level

d) May be rejected or not rejected at the 1% level

Answer: d)

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