ISS (Statistical Services) Statistics Paper IV: Questions 23 - 26 of 92

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Question 23

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Essay▾

A machine is manufacturing mica discs. Samples of size 5 are drawn every hour and their thickness in units are recorded as follows. On the basis of chart, Check whether the production is under control?

Find Whether Production is under Control for Mica Discs
Sample No.Observations
18915411
2710768
3111210910
41286912
5111061411
67710411
710741010
88111177
981181412
10129121711
117791713
12994411
131012121212
14811968
151013949
169118511

Explanation

From the tables, for n = 5, we have

Control limits for :

And

X Bar Chart Shows Process is under Control

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Question 24

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Describe in Detail

Essay▾

Describe king՚s method for constructing an abridged life table.

Explanation

Kings Method

An abridged life table consists of all columns of a life table for ages distant apart usually 5 to 10 years or for age groups usually of width 5 to 10 years. In this way there is tremendous cut in size of life-tables, and hence such life tables are named as abridged life table.

Central mortality rate can be calculated precisely provided …

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Question 25

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Describe in Detail

Essay▾

a) If the average range for the 4 samples is 0.2 millimeters and the average mean of the observations is 12.5 millimeters, obtain the three-sigma control limits for the sample mean.

b) 5 observations have been taken from the 10 samples in order to test the volume in the bags. The average sample range is 0.5 ounces. Obtain the 3-σ limits for the sample range.

Explanation

a) It is given that n = 5 and

Based on tables for control charts. For n = 5, The value of

Control limits for :

And

b) We are given that, number of observations, n = 5,

For n = 5, from the tables we have,

Control limits for R chart:

= 0

Full control chart constants are available at examrace. com

Question 26

Describe in Detail

Essay▾

A new oven has been installed in a bakery and to test the efficiency of this, the oven temperature readings have been taken at four different places inside the oven every 30 min. The following table gives readings. Determine the control limits for the mean temperature.

Determine the Control Limits for the Mean Temperature
TimeReadings
8: 00400500550390
8: 30440420380380
9: 00410450470430
9: 30390390410410
10: 00370420460410
10: 30390400390400

Explanation

From the tables, for n = 6, we have

Control limits for :

And

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