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

Get 1 year subscription: Access detailed explanations (illustrated with images and videos) to 165 questions. Access all new questions we will add tracking exam-pattern and syllabus changes. View Sample Explanation or View Features.

Rs. 550.00 or

## Question number: 66

» Statistical Methods » Measures of Location

Appeared in Year: 2013

Essay Question▾

### Describe in Detail

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

The cumulative frequency is

 Class Frequency Cumulative frequency 0 - 10 12 12 10 - 20 30 42 20 - 30 x 42 + x 30 - 40 65 107 + x 40 - 50 y 107 + x+y 50 - 60 25 132 + x+y 60 - 70 18… (107 more words) …

## Question number: 67

» Statistical Methods » Tests of Significance » T-Test

Appeared in Year: 2009

Essay Question▾

### Describe in Detail

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

Let X i is random variable of student were given different teaching methods in set I with mean and variance σ 12 and Y j is random variable of student were given different teaching methods in set II with mean and variance σ 22. The… (54 more words) …

## Question number: 68

» Statistical Methods » Tests of Significance » T-Test

Appeared in Year: 2013

Essay Question▾

### 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

Let X i is random variable of nine student were tested for after training with mean and variance σ 12 and Y j is random variable of nine student were tested for before training with mean and variance σ 22. The hypothesis is

The… (55 more words) …

## Question number: 69

» Statistical Methods » Tests of Significance » F-Test

Appeared in Year: 2014

Essay Question▾

### 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

Let X 1, X 2, …, X n and Y 1, Y 2, …Y m are the samples taken from independent N (µ 1, σ 12) and N (µ 2, σ 22).

In this question the hypothesis for testing is… (149 more words) …

f Page