Normal Distribution (Ordinates method)

    

 FITTING OF NORMAL DISTRIBUTION (ORDINATES METHOD)

1.   1. Fit a normal distribution for the following data by ordinates method 

Class	150-160	160-170	170-180	180-190	190-200	200-210	210-220	220-230	230-240
Frequency	9	24	51	66	72	48	21	6	3

 

2.   2. Fit a normal distribution for the following data by ordinates method  

 

Class	30-40	40-50	50-60	60-70	70-80	80-90	90-100	100-110	110-120
Frequency	5	4	3	8	7	10	4	3	2

Normal Distribution (Areas method)

 

FITTING OF NORMAL DISTRIBUTION (AREAS METHOD)

Fi 1. Normal Distribution to the following data by Areas method 

 

Class	60-65	65-70	70-75	75-80	80-85	85-90	90-95	95-100
Frequency	3	21	150	335	326	135	26	4

 

2.         2.  Fit a Normal Distribution to the following data by Areas method

Class	0-10	10-20	20-30	30-40	40-50	50-60	60-70	70-80	80-90	90-100
Frequency	3	16	50	100	132	110	60	22	6	1

 

Completely Randomized Design (CRD)

 COMPLETELY RANDOMIZED DESIGN

1. A Set Of Data Involving Four Tropical Feed Stuffs A, B, C And D Tried To 20 Chicks Are Treated Alike In All Respects Except The Feeding Treatments and each feeding treatment is given to 5 chicks. Analyse the data.

Feed	Gain in Weight
A	55	49	42	21	52
B	61	112	30	89	63
C	42	97	81	95	92
D	169	137	169	85	154

2. For testing the variety effect in a completely randomized experiment, the data (the yield of barley in grams) are as shown in the following table. Perform the analysis of variance.

320 V1	340 V4	398 V5	360 V4	350 V3	372 V2	455 V2	417 V3	420 V1	358 V5
400 V3	353 V1	334 V5	331 V1	358 V4	370 V4	340 V5	375 V2	320 V5	325 V3
430 V5	358 V1	378 V3	395 V4	328 V2	383 V2	275 V3	375 V4	308 V2	400 V1

ANOVA (Two-Way)

 

TWO-WAY CLASSIFICATION OF ANOVA

1. The following table gives the wheat yield in bushels per acre of 4 varieties grown in 5 blocks. Test the mean yield of these varieties or block differ significantly. F(3,16). 5% = 3.04

2. Data about the number of units produced per day turned out by 4 different workers using 5 different types of machines are: 

On the basis of the information, can it be conclude that:

a). the mean productivity is the same for different types of machines?

b). the workers do not differ as far as their productivity concerned?

3. The performance of a class of 200 students in the subjects of statistics and finance was graded into four classes A, B, C and D. The below table indicates number of students by grades in each of two subjects. Test at significance levels of 5% whether the performance can be inferred as independent. 

ANOVA (One-way)

 

ONE WAY CLASSIFICATION OF ANALYSIS OF VARIANCE

1. The following table gives the retail prices of a commodity in some shops selected at random in         four cities. Carry out the analysis of variance to test the significance of the difference between the price of commodity in four cities. 

2. Four machines produce steel wire. The following data give the diameters at ten positions along the wire for each machine. Examine by performing the analysis of variance , whether the machine means can be regraded as constant.

3. Sample of pigs of each of four types were fed on the same ration over a period. The figures in the table denote increase in weight in lb. per pig at the end of the period. Do the sample means differ significantly.

Life Tables

 Practical Exercise - 8

Construction of Life Table

1. Complete the life of the population of a certain types of insects, x being the age in days and lx=1000       for   x=0

2. Given the following table for lx, the number of rabbits living at age x, complete the life table

3. Fill in the blanks in a portion of life table given below

Mortality and Fertility Rates

 Practical Exercise - 6

Computation of Various Mortality, Fertility  Rates

1. Compute Crude and Standardized death rates of the two regions on the basis of given data and also             calculate  standardized death rates

2. Compute Crude and Standardized death rates of the two regions on the basis of given data and also         calculate  standardized death rates (hint: Consider A- region  population as standard population)

3. From the following data, calculate crude accident rates of the two factories A and B and also corrected accident rate of B taking A as the standard. 

4. Compute CBR, GFR, SFR and TFR from the given data.

5. Calculate CBR, GFR, SFR and TFR from the given data.