# 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

### Describe in Detail

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 |

### Explanation

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## Question number: 16

» Statistical Methods » Tests of Significance » F-Test

Appeared in Year: 2014

### Describe in Detail

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]

### Explanation

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## Question number: 17

» Statistical Methods » Tests of Significance » Chi-Square

Appeared in Year: 2009

### Describe in Detail

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

### Explanation

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