Statistical Inference and Hypothesis Testing-Confidence Interval Estimation (ISS Statistics Paper II (New 2016 MCQ Pattern)): Questions 6 - 8 of 73

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Question number: 6

» 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: 7

» 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: 8

» Statistical Inference and Hypothesis Testing » Confidence Interval Estimation

MCQ▾

Question

Formula for obtaining 99 % confidence limits for the mean μ of a Normal population with mean μ and standard deviation σ are

Choices

Choice (4) Response

a.

P(2.58Z2.58)=0.01

b.

P(x¯2.58σn,x¯+2.58σn)=0.01

c.

P(2.58x¯μσn2.58)=0.01

d.

All a. , b. and c. are correct

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