Statistical Methods-Tests of Significance (ISS (Statistical Services) Statistics Paper I (Old Subjective Pattern)): Questions 10 - 14 of 17

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Question number: 10

» Statistical Methods » Tests of Significance » Chi-Square

Appeared in Year: 2011

Essay Question▾

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Explain how to carry out the chi-squared test for on the basis of a random sample

X 1, X 2, …, X n from N (µ, σ 2) population.

Explanation

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Question number: 11

» Statistical Methods » Tests of Significance » Z-Test

Appeared in Year: 2012

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125out of 285 college-going male students in 1995 from a city were found to be smokers. Another sample of 325 such students from the same city in 2012 included 95 smokers. Examine at 5 % level of significance if smoking habit among college-going students is on the decrease in this city.

Explanation

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Question number: 12

» Statistical Methods » Tests of Significance » Z-Test

Appeared in Year: 2010

Essay Question▾

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How large a sample must be taken in order that the probability will be at least 0·95 that X n will be within 0·5 of µ (µ is unknown and σ = l).

Explanation

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Question number: 13

» Statistical Methods » Tests of Significance » T-Test

Appeared in Year: 2015

Essay Question▾

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Let X 1, X 2, …, X 12 be a random sample from a normal N (µ 1, σ 12) and Y 1, Y 2, …Y 10 be another random sample from normal N (µ 2, σ 22), independently to each other. Carry out an appropriate test for testing

at 5 % level of significance. It is given that .

Explanation

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Question number: 14

» Statistical Methods » Tests of Significance » T-Test

Appeared in Year: 2009

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Two set of students were given different teaching methods. Their IQ’s are given below:

Set I

77

74

82

73

87

69

66

80

Set II

72

68

76

68

84

68

61

76

Test whether the two teaching methods differ significantly at 5 % level of significance. (Assume critical value of test statistic to be 1·96)

Explanation

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