## NPTEL Data Analytics with Python Week 4 Assignment Answers 2024

1.

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2. If we have a sample size of 15 and the population standard deviation is known, we will use:

- t- test for hypothesis testing
- z-test for hypothesis testing
- both t and z test
- F Test

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3. 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 hypotheses.

- Mu = 375
- Mu ≤ 375
- Mu = 350
- Mu ≥ 350

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4. In question 3, At the alpha = 0.05 level of significance, is there any evidence that the mean life differs from 375 hours?

- Yes, there is
- No, there is not
- None of the above

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5. In question 3, the computed p-value is:

- 0.0456
- 0.456
- 0.0228
- 0.228

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6. In question 3, at a 95% confidence interval, the estimate of the population mean life of the battery is:

- 325.5 to 379.5
- 325.5 to 374.5
- 320.5 to 379.5
- 320.5 to 374.5

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7. The mean cost of a hotel room in a city is $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.

- 2
- -2
- 1.46
- -1.46

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8. At the a = 0.05 level. In question 7, the decision on the null hypothesis is:

- Do not reject
- reject
- None of the above

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9. In the hypothesis testing procedure refers to

- 1 – the level of significance
- the critical value
- the confidence level
- level of significance

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10. If a hypothesis test leads to the rejection of the null hypothesis,

- a Type II error must have been committed
- a Type II error may have been committed
- a Type I error must have been committed
- a Type I error may have been committed

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