ISS Statistics Paper IV: Questions 24 - 27 of 79

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Question number: 24

» Demography and Vital Statistics » Abridged Life Tables

Essay Question▾

Describe in Detail

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

Explanation

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… (448 more words) …

Question number: 25

» Statistical Quality Control » Control Charts » Variable

Essay Question▾

Describe in Detail

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 the10 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 X¯=12.5 and R¯=0.2

For n = 5, The value of A2=0.58

Control limits for X¯chart:

CLX¯=X̿=12.5

UC… (120 more words) …

Question number: 26

» Statistical Quality Control » Control Charts » Variable

Essay Question▾

Describe in Detail

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

Determine the control limits for the mean temperature

Time

Readings

8: 00

400

500

550

390

8: 30

440

420

380

380

9: 00

410

450

470

430

9: 30

390

390

410

410

10: 00

370

420

460

410

10: 30

390

400

390

400

Explanation

Determine the control limits for the mean temperature Total, Mean and Range

Determine the control limits for the mean temperature

Readings

Total

Sample mean

Sample Range

400

500

550

390

1840

460

160

440

420

380

380

1620

405

60

410

450

470

430

1760

440

60

390

390

410… (132 more words) …

Question number: 27

» Demography and Vital Statistics » Measurement of Fertility » Total Fertility Rate

Essay Question▾

Describe in Detail

Compute GFR, SFR, TFR and GRR from the data given below:

Table shows the age group, number of women and total birth

Find out the GFR, SFR, TFR and GRR

Age groups of child bearing females

Number of women (’000)

Total births

15 - 19

16.0

260

20 - 24

16.4

2244

25 - 29

15.8

1894

30 - 34

15.2

1320

35 - 39

14.8

916

40 - 44

15.0

280

45 - 49

14.5

145

Assume that the proportion of female births is 46.2 percent.

Explanation

First write the formula of GFR, SFR, TFR and GRR is

GFR=AnnualnumberofbirthsMidyearpopulati… (333 more words) …

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