## NPTEL Data Analytics with Python Week 5 Assignment Answers 2024

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

- the dependent variable
- the independent variable
- different levels of treatment
- the critical value of F

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2. In a problem of ANOVA involving 3 treatments and 10 observations per treatment, SSE = 399.6. The MSE for this situation is

- 130.2
- 48.8
- 14.8
- 30.0

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3. The ‘F’ ratio in a completely randomised ANOVA is the ratio of

- MSTR/MSE
- MST/MSE
- MSE/MSTR
- MSE/MST

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4. An ANOVA procedure is applied to data obtained from 6 samples where each sample contains 10 observations. The degrees of freedom for the critical value of F are

- 6 numerator and 20 denominator degrees of freedom
- 5 numerator and 20 denominator degrees of freedom
- 5 numerator and 54 denominator degrees of freedom
- 6 numerator and 20 denominator degrees of freedom

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5. In an ANOVA problem if SST = 120 and SSTR = 80, then SSE is

- 20
- 40
- 80
- 120

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

- 2.18
- 3.20
- 3.53
- 3.95

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7. 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

- t distribution with 51 degrees of freedom
- z distribution with 50 degrees of freedom
- z distribution with 49 degrees of freedom
- t distribution with 48 degrees of freedom

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8.

- t-distribution with n1 + n2 degrees of freedom
- normal distribution
- t-distribution with n1 + n2 – 1 degrees of freedom
- t-distribution with n1 + n2 + 2 degrees of freedom

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9. Mean marks obtained by male and female students of schools ABCD in the first unit test are shown below.

- 4.0
- 7.46
- 4.24
- 2.0

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10. Refer to Q. 9: 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

- 2
- 1.5
- 1.96
- 1.645

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