NPTEL Data Analytics With Python Week 4 Assignment Solution 2023

 

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1 .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

2 .The level of significance is the

a.  maximum allowable probability of Type II error

 b. maximum allowable probability of Type I error

 c. same as the confidence coefficient

 d. same as the p-value

Answer :- B

3 .When the following hypotheses are being tested at a level of significance of alpha
H0: Mu ≥ 500
Ha: Mu < 500
the null hypothesis will be rejected if the p-value is

a. ≤ alpha

b. > alpha

c. > Beta/2

d. 1 - (alpha/2)

Answer :- A

4. In a two-tailed hypothesis test situation, the test statistic is determined to be t = -2.692. The sample size has been 45. The p-value for this test is

a. -0.005

b. +0.005

c. -0.01

d. +0.01

Answer :-  D

5. In a lower one-tail hypothesis test situation, the p-value is determined to be 0.2. If the sample size for this test is 51, the t statistic has a value of

a. 0.849

b. -0.849

c. 1299

d. -1299

Answer :- B

6. A machine is designed to fill toothpaste tubes with 5.8 ounces of toothpaste. The manufacturer does not want any underfilling or overfilling. The correct hypotheses to be tested are

a. H0: Mu not equals to 5.8, Ha: Mu = 5.8

b. H0: Mu = 5.8, Ha: Mu not equals to 5.8

c. H0: Mu > 5.8, Ha: Mu =< 5.8

d. H0: Mu >= 5.8, Ha: Mu < 5.8

Answer :- B

7. 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

a. Mu = 375

b. Mu ≤ 375

c. Mu = 350

d. Mu ≥ 350

Answer :-  A

8. In question 7, 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 the above

Answer :-  B

9. In question 7, Computed the p-value is:

a. 0.0456

b. 0.456

c. 0.0228

d. 0.228

Answer :- A

10. In question 7, at 95% confidence interval estimate of the population mean life of the battery is:

a. 325.5 to 379.5

b. 325.5 to 374.5

c. 320.5 to 379.5

d. 320.5 to 374.5

Answer :- B