1Each observation in the random sample has the same distribution as the population.

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1True

2False

Correct Answer: 1

2The reliability of the estimator is specified in point estimation.

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1True

2False

Correct Answer: 2

3X-bar = 16000 is a point estimator of the population mean.

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1True

2False

Correct Answer: 2

4A random sample of size 25 from a normal population yields Sum of X = 200, Sum of X square = 1696. Find the best unbiased estimate of the population mean.

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16

24

38

4None of the above

Correct Answer: 3

5A random sample of size 25 from a normal population yields Sum of X = 200, Sum of X square = 1696. Find the best unbiased estimate of population variance.........................................................[ 2 MARKS]

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14

267.8

32

4None of the above

Correct Answer: 1

6A random sample of size 25 from a normal population yields Sum of X = 200, Sum of X square = 1696. Find the unbiased estimate of population SD.

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12

24

38

4Does not exist

Correct Answer: 4

7A random sample of size 25 from a normal population yields Sum of X = 200, Sum of X square = 1696. Find the estimate of the S.E. of X-bar.

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10.8

20.4

32.0

4None of the above

Correct Answer: 2

8A random sample of size 25 from a normal population yields Sum of X = 200, Sum of X square = 1696. The (LCL, UCL) of 95% confidence interval for the population mean is...................................................................[ 2 MARKS]

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1(7.6,8.4)

2(7.1744, 8.8256)

3(7.216, 8.784)

4None of the above

Correct Answer: 2

9A random sample of size 25 from a normal population yields Sum of X = 200, Sum of X square = 1696. We can conclude population mean to be 8 with 95% of confidence.

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1True

2False

Correct Answer: 1

10For a normal population with range 30, find the sample size required to estimate the mean with an error bound of 3 with 95% of confidence..........................................................[ 2 MARKS]

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110

211

312

4None of the above

Correct Answer: 2

11In the determination of sample size n for the estimation of a parameter, when other data remain same, the sample size will increase with the increase of error bound.

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1True

2False

Correct Answer: 2

12The sample size required to estimate the population proportion p of A type blood within 0.02 of its true value with 95% confidence is........................................................................[2 MARKS]

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12401

22500

3601

4None of the above

Correct Answer: 1

13Level of significance (alpha) is

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1P (CR | H1)

2P (AR | H1)

3P (CR | H0)

4P (AR | H0)

Correct Answer: 3

14As alpha increases, gamma decreases.

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1True

2False

Correct Answer: 1

15Power gamma is the probability of ascertaining correctness of Ho.

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1True

2False

Correct Answer: 2

16There are 23 defective screws in a random sample of 100 screws. Can you conclude the population proportion of defective screws to be 15 in 100? Given alpha = 0.05; (Ho, H1) are

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1p== 0.23, p > 0.23

2p == 0.15, p > 0.15

3p == 0.15, p=/= 0.15

4p== 0.23, p =/= 0.23

Correct Answer: 3

17There are 23 defective screws in a random sample of 100 screws. Can you conclude the population proportion of defective screws to be 15 in 100? Given alpha = 0.05; Computed value of the T.S. is.................................................................[2 MARKS]

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12.24

21.60

32.05

4None of the above

Correct Answer: 1

18There are 23 defective screws in a random sample of 100 screws. Can you conclude the population proportion of defective screws to be 15 in 100? Given alpha =0.05; CR is

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1Z > 1.64

2|Z| > 1.96

3Z > 1.96

4None of the above

Correct Answer: 2

19There are 23 defective screws in a random sample of 100 screws. Can you conclude the population proportion of defective screws to be 15 in 100? Given alpha = 0.05; The Ho should be rejected.

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1True

2False

Correct Answer: 1

20In a sample of 36 observations from a normal distribution with mean 98 and standard deviation of 12, what is the probability that the sample mean will be between 95 and 102..............................................................[2 MARKS]

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10.4332

20.4772

30.9104

4None of the above

Correct Answer: 3 Your Answer: 3 Points Awarded: 2