# Statistical Methods (ISS (Statistical Services) Statistics Paper I (Old Subjective Pattern)): Questions 66 - 69 of 72

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## Question number: 66

» Statistical Methods » Measures of Location

Appeared in Year: 2013

Essay Question▾

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For the following frequency distribution on 229 values:

 Class Frequency 0 - 10 12 10 - 20 30 20 - 30 x 30 - 40 65 40 - 50 y 50 - 60 25 60 - 70 18

the median is found to be 46. Find the values of x and y.

### Explanation

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## Question number: 67

» 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)

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## Question number: 68

» 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: 69

» 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]

### Explanation

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