Statistical Inference and Hypothesis Testing-Confidence Interval Estimation (ISS Statistics Paper II (New 2016 MCQ Pattern)): Questions 49 - 53 of 73

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Question number: 49

» Statistical Inference and Hypothesis Testing » Confidence Interval Estimation

MCQ▾

Question

Degrees of freedom for the mean in case of large sample size (n30) is…………; and in case of for the small sample size (n<30) is……. .

Choices

Choice (4) Response
a.

n2 and n

b.

n1 and n1

c.

n1 and n

d.

n and n1

Question number: 50

» Statistical Inference and Hypothesis Testing » Confidence Interval Estimation

MCQ▾

Question

It is given that n=8 , x¯=0.2 , s=0.07 . Then the Confidence Interval at α=0.05 is given by

Choices

Choice (4) Response
a.

[0.144, 0.256]

b.

0.2±0.056

c. Both a. and b. are correct
d. Question does not provide sufficient data or is vague

Question number: 51

» Statistical Inference and Hypothesis Testing » Confidence Interval Estimation

MCQ▾

Question

Find the 95 % Confidence Interval for μ with the following information.

n=4 , x¯=0.99 , s=0.032

Choices

Choice (4) Response
a.

[1.8, 1.99]

b.

0.94μ1.04

c.

1.9±0.098

d. None of the above

Question number: 52

» Statistical Inference and Hypothesis Testing » Confidence Interval Estimation

MCQ▾

Question

If the sample size is small and σ is unknown, then the Confidence Interval (CI) is given by

Choices

Choice (4) Response
a.

x¯±Zα2σn

b.

x¯±tα2sn

c.

x¯±ns2χ2(α/2)

d. All of the above

Question number: 53

» Statistical Inference and Hypothesis Testing » Confidence Interval Estimation

MCQ▾

Question

A data on the weight of 200 coconuts yield a mean of 2.49 and a standard deviation 0.674. 96 % confidence interval for population mean is:

Choices

Choice (4) Response
a.

[2.39, 2.58]

b.

[0.0674, 2.51]

c.

[127.29, 200]

d. All of the above

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