Statistical Inference and Hypothesis Testing-Confidence Interval Estimation (ISS Statistics Paper II (New 2016 MCQ Pattern)): Questions 45 - 48 of 73

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Question number: 45

» Statistical Inference and Hypothesis Testing » Confidence Interval Estimation

MCQ▾

Question

The health organization wants to study the mean weight of Indian women of the age group 30 - 40. A fourty woman of that age group is randomly selected and their weights in pounds are recorded.

Readings of the random sample by Health Organization

What are the readings of the family?

140

153

167

115

136

136

145

125

147

134

154

148

136

126

139

132

152

132

139

120

130

138

138

146

116

137

143

115

159

147

122

145

128

123

134

127

131

154

150

116

The calculated standard deviation is σ = 12.77. Then the 95 % confidence interval for the mean weight is

Choices

Choice (4) Response

a.

[130, 140]

b.

[133.55, 140.19]

c.

[140.24, 141.20]

d.

[116.56, 154.96]

Question number: 46

» Statistical Inference and Hypothesis Testing » Confidence Interval Estimation

MCQ▾

Question

Keeping the sample size n same, suppose we decrease the level of confidence then the length of the Confidence interval will become

Choices

Choice (4) Response

a.

Remains the same

b.

Smaller

c.

More

d.

Question does not provide sufficient data or is vague

Question number: 47

» Statistical Inference and Hypothesis Testing » Confidence Interval Estimation

MCQ▾

Question

Confidence intervals can be constructed ________

Choices

Choice (4) Response

a.

Only for the parameter of population correlation

b.

Only for the parameter of the mean

c.

For various parameters

d.

All of the above

Question number: 48

» Statistical Inference and Hypothesis Testing » Confidence Interval Estimation

MCQ▾

Question

(1α)100% Confidence intervals for the parameters μ , of the Normal distribution having density function N(μ,σ2) , in case of known variance σ2 , is given by

Choices

Choice (4) Response

a.

(x¯zα2σn,x¯+zα2σn)

b.

(x¯tα2σn,x¯+tα2σn)

c.

(x¯t1α2σn,x¯+t1α2σn)

d.

None of the above

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