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

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Question 6

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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…

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Question 7

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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.

Given Are Observations & Samples in the Table Below
Sample No.Observations
1426575788787
2424568729090
3192480818181
4365469778484
5425157597878
651747578132132
760607295138138
8182027426060
9153039628484
1069109113118153153
11649093109112112
12617894109136136

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…

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Question 8

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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 .

Given Are Observations Find Control Limits for R Chart
Sample No.ObservationsSample No.Observations
115.8516.0215.8315.931315.8515.7615.7415.98
216.1216.0015.8516.011415.7315.8415.9616.10
316.0015.9115.9415.831516.2016.0116.1015.89
416.2015.8515.7415.931616.1216.0815.8315.94
515.7415.8616.2116.101716.0115.9315.8115.68
615.9416.0116.1416.031815.7816.0416.1116.12
715.7516.2116.0115.861915.8415.9216.0516.12
815.8215.9416.0215.942015.9216.0916.1215.93
916.0415.9815.8315.982116.1116.0216.0015.88
1015.6415.8615.9415.892215.9815.8215.8915.89
1116.1116.0016.0115.822316.0515.7315.7315.93
1215.7215.8516.1216.152416.0116.0115.8915.86
2516.0815.7815.9215.98

Explanation

Control limits for R- chart:

= 0

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