NPTEL Data Analytics with Python Week 4 Assignment Answers 2025
1. If we have a sample size of 20 and 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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2. Null hypothesis, Ho: m1- m2 = 0 is a
- Upper tail test
- Lower tail test
- Two tail 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 and alternative 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 is different from 375 hours?
- Yes, there is
- No, there is not
- None of the above
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5. For one-tailed test, the test statistic z is determined to be zero. The p-value for this test is
- zero
- -0.5
- +0.5
- 1.00
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6. The error of rejecting a true null hypothesis is
- a Type I error
- a Type II error
- is the same as b
- committed when not enough information is available
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7. 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.
- 2
- -2
- 1.46
- -1.46
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8. In hypothesis testing if the null hypothesis is rejected
- no conclusions can be drawn from the test
- the alternative hypothesis is true
- the data must have been accumulated incorrectly
- the sample size has been too small
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9. In the hypothesis testing procedure, α is
- 1 – the level of significance
- the critical value
- the confidence level
- level of significance
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10. If a hypothesis is rejected at the 5% level of significance, it
- will always be rejected at the 1% level
- will always be accepted at the 1% level
- will never be tested at the 1% level
- may be rejected or not rejected at the 1% level
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