Statistical Inference and Hypothesis Testing-Confidence Interval Estimation (ISS Statistics Paper II (New 2016 MCQ Pattern)): Questions 58 - 60 of 73

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Question number: 58

» Statistical Inference and Hypothesis Testing » Confidence Interval Estimation

MCQ▾

Question

The interval [c1,c2] within which the unknown value of the population parameter is expected to lie is called as the________

Choices

Choice (4) Response
a.

Normal interval

b.

Confidence Interval

c.

Probability interval

d. All of the above

Question number: 59

» Statistical Inference and Hypothesis Testing » Confidence Interval Estimation

MCQ▾

Question

According to a water supply company, the mean water bill per year in 2010 is 1500 Rs. And he wants to estimate the amount of water bill per year in 2016. He takes a random sample of 18 households and obtains the following amounts, (in Rs) for the year 2016 of water bill. It is given that s=222.45

Samples from water company

What are the readings of the family?

1608

1875

1264

1794

1478

1999

1828

2206

1798

1794

1738

1740

1598

1486

1830

1568

1941

1516

how can you interpret the answer if you compute 95 % confidence interval of the mean water bill?

Choices

Choice (4) Response
a.

It appears that the mean annual water bill has increased from 2010 to 2016

b.

It appears that there is no change in the mean annual water bill from 2010 to 2016

c.

It appears that the mean annual water bill has decreased from 2010 to 2016

d. All of the above

Question number: 60

» Statistical Inference and Hypothesis Testing » Confidence Interval Estimation

MCQ▾

Question

Let X1,X2,,Xn be a random sample and T1=t1(X1,X2,,Xn) and T2=t2(X1,X2,,Xn) be any two statistics such that T1<T2 , then the confidence limits for a parametric function τ(θ) of θ can be obtained by the relation

Choices

Choice (4) Response
a.

Pθ(T1>θ)=α1 and Pθ(T2<θ)=α2

b.

Pθ(T1<θ)=α1 and Pθ(T2<θ)=α2

c.

Pθ(T1>θ)=α1 and Pθ(T2>θ)=α2

d. Question does not provide sufficient data or is vague

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