Statistical Inference and Hypothesis Testing-Confidence Interval Estimation (ISS Statistics Paper II (New 2016 MCQ Pattern)): Questions 24 - 26 of 73

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Question number: 24

» Statistical Inference and Hypothesis Testing » Confidence Interval Estimation

MCQ▾

Question

A fan manufacturing company needs to know the average amount of time it takes to install a fan. A technique installs it in 64 different houses and the average time of installation is 42 minutes. The calculated standard deviation is 5 minutes. Then 95 % confidence interval foethe mean installation time is

Choices

Choice (4) Response

a.

[40.8, 43.2]

b.

42±(1.96)564

c.

42 + 1.225

d.

Both a. and b. are correct

Question number: 25

» Statistical Inference and Hypothesis Testing » Confidence Interval Estimation

MCQ▾

Question

The Indian Government wants the information of children per family. It takes a random sample of 40 families and the numbers of children in the selected families are

Readings of the random sample by Indian Government

What are the readings of the family?

1

2

1

2

1

1

1

1

5

4

3

4

1

0

1

2

1

0

3

0

0

0

2

2

5

3

1

0

8

1

0

1

2

1

1

5

2

1

2

3

Calculated standard deviation is σ = 1.95. Obtain the 90 % confidence interval for the mean number of children per family in India

Choices

Choice (4) Response

a.

[1.34, 3.35]

b.

[1.34, 2.35]

c.

[0.95, 2.35]

d.

[0, 2.35]

Question number: 26

» 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 sample of forty woman of that age group is randomly selected and their weights in pounds are recorded.

Readings of the random sample by Health Organization for Woman

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 99 % confidence interval for the mean weight is

Choices

Choice (4) Response

a.

[133.55, 140.19]

b.

[130, 140]

c.

[131.66, 142.08]

d.

[116.56, 154.96]

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