# Statistical Methods-Tests of Significance (ISS (Statistical Services) Statistics Paper I (Old Subjective Pattern)): Questions 15 - 17 of 17

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## Question number: 15

» Statistical Methods » Tests of Significance » T-Test

Appeared in Year: 2013

Essay Question▾

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The memory capacities ·of nine student were tested before and after some training. The data are given below. Test whether the training was effective: (Given t-value at 8 d. f. = 2.36)

 Student Number 1 2 3 4 5 6 7 8 9 Before Training 10 15 9 3 7 12 16 17 4 After Training 12 17 8 5 6 11 18 20 3

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## Question number: 16

» Statistical Methods » Tests of Significance » F-Test

Appeared in Year: 2014

Essay Question▾

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Explain the procedure for testing the hypothesis of equality of variances of two independent normal populations when population means are unknown. Write down the sampling distribution of the statistic. A sample of size 10 is drawn from each of two uncorrelated normal populations. Sample means and variances are:

1 st population: mean = 7, variance = 26

2 nd population: mean = 4; variance = 10

Test at 5 % level of significance whether the first population has greater standard deviation than that of the second population. [Given F 0.05, 9, 9 = 3·18]

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## Question number: 17

» Statistical Methods » Tests of Significance » Chi-Square

Appeared in Year: 2009

Essay Question▾

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Explain the method of testing normality by using chi-squared test.

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