# ISS (Statistical Services) Statistics Paper IV: Questions 6 - 8 of 92

Access detailed explanations (illustrated with images and videos) to 92 questions. Access all new questions- tracking exam pattern and syllabus. View the complete topic-wise distribution of questions. Unlimited Access, Unlimited Time, on Unlimited Devices!

View Sample Explanation or View Features.

Rs. 350.00 -OR-

## Question 6

Edit

### Describe in Detail

Essay▾

Which control charts are used for continuous data? What is the chart we use to test the quality characteristics of a product such as diameter of a screw known as?

### Explanation

Variable data are measured on a continuous scale. Control chart for variables are applied to data with continuous distribution. And and R charts are two types of variable charts. Continuous data can take infinite number of values between whole numbers. For example: Age, time, weight, distance or temperature can be measured in fractions or decimals&#8230;

… (37 more words) …

## Question 7

### Describe in Detail

Essay▾

1) When the characteristic representing the quality of a product is a discrete variable which chart can be used? Find 3- σ control limits on the chart.

2) Construct 3- σ control limits for and R charts for the following data, based on fuses, samples of 5 being taken every hour.

 Sample No. Observations 1 42 65 75 78 87 87 2 42 45 68 72 90 90 3 19 24 80 81 81 81 4 36 54 69 77 84 84 5 42 51 57 59 78 78 6 51 74 75 78 132 132 7 60 60 72 95 138 138 8 18 20 27 42 60 60 9 15 30 39 62 84 84 10 69 109 113 118 153 153 11 64 90 93 109 112 112 12 61 78 94 109 136 136

### Explanation

1. Discrete data is a data that can be counted and cannot have fractions or decimals. Control charts for attributes are used to measure quality characteristics that are counted rather than measured e. g. Number of broken eggs in a box, number of defective rivets in an aircraft wing.

3- σ control limits on the chart are given by . is estimated by and&#8230;

… (55 more words) …

## Question 8

### Describe in Detail

Essay▾

Following is the data of 25 samples with 4 observations on the basis of volume of the bottles filled. Obtain the control limits for .

 Sample No. Observations Sample No. Observations 1 15.85 16.02 15.83 15.93 13 15.85 15.76 15.74 15.98 2 16.12 16.00 15.85 16.01 14 15.73 15.84 15.96 16.10 3 16.00 15.91 15.94 15.83 15 16.20 16.01 16.10 15.89 4 16.20 15.85 15.74 15.93 16 16.12 16.08 15.83 15.94 5 15.74 15.86 16.21 16.10 17 16.01 15.93 15.81 15.68 6 15.94 16.01 16.14 16.03 18 15.78 16.04 16.11 16.12 7 15.75 16.21 16.01 15.86 19 15.84 15.92 16.05 16.12 8 15.82 15.94 16.02 15.94 20 15.92 16.09 16.12 15.93 9 16.04 15.98 15.83 15.98 21 16.11 16.02 16.00 15.88 10 15.64 15.86 15.94 15.89 22 15.98 15.82 15.89 15.89 11 16.11 16.00 16.01 15.82 23 16.05 15.73 15.73 15.93 12 15.72 15.85 16.12 16.15 24 16.01 16.01 15.89 15.86 25 16.08 15.78 15.92 15.98

### Explanation

Control limits for R- chart:

= 0

… (13 more words) …