Statistical Inference and Hypothesis Testing (ISS Statistics Paper II (New 2016 MCQ Pattern)): Questions 88 - 91 of 222

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Question number: 88

» Statistical Inference and Hypothesis Testing » Confidence Interval Estimation

MCQ▾

Question

A school wants to study the number of days the students will be absent from school per year. It surveys attendance of 10 children and the number of days the children is absent from schools are

Samples from schools and students

What are the readings of the family?

12

13

9

11

7

8

4

9

5

8

Standard deviation s=2.88 . Then 95 % Confidence interval on population mean is

Choices

Choice (4) Response

a.

8.6±2.05

b.

6.55 ≤ μ ≤ 10.65

c.

[6.5, 10.65]

d.

All a. , b. and c. are correct

Question number: 89

» Statistical Inference and Hypothesis Testing » Characteristics of Good Estimator

MCQ▾

Question

1ni=1nXi(i=1, 2,n) is an ________ where as x¯=1ni=1nxi is an ________

Choices

Choice (4) Response

a.

Estimate and an estimator

b.

Estimator and an estimate

c.

Question does not provide sufficient data or is vague

d.

All of the above

Question number: 90

» Statistical Inference and Hypothesis Testing » Confidence Interval Estimation

MCQ▾

Question

Suppose we want to estimate the (μ) mean amount of money spent by students on some project in a year. We have the following data of 10 randomly selected students. and calculated sample mean is 249 Rs. and standard deviation is 30 Rs. 95 % Confidence interval for μ is:

Choices

Choice (4) Response

a.

[227.56, 270.44]

b.

256.89±290.68

c.

[1.8, 1.99]

d.

0.94μ1.04

Question number: 91

» Statistical Inference and Hypothesis Testing » Sufficient Estimator

MCQ▾

Question

Let x1,x2,.,xn be a random sample from a density function f(x,θ) . A statistics

T=t(x1,x2,.,xn) is said to be sufficient statistics if the conditional distribution of x1,x2,.,xn given T

Choices

Choice (4) Response

a.

Independent of θ S

b.

Dependent of T

c.

Dependent of θ

d.

Independent of T

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