SEM.5 RM THEORY ASSIGNMENT

GLS UNIVERSITY’S

FACULTY BUSINESS ADMINISTRATION (GLSBBA)

THEORY ASSIGNMENT 2019-20

TY BBA: SEMESTER V

SUBJECT CODE: CORE COURSE: 170101504

 RESEARCH METHODOLOGIES TOOLS AND ANALYSIS

Assignment Topic

Large Sample Tests

Small Sample Tests

LARGE SAMPLE TESTS

1.       A stenographer claims that she can take dictation at the rate of 120 words per minute. Can we reject her claim on the basis of 100 trials in which she demonstrates a mean of 116 words with a standard deviation of 15 words? Use 5 % level of significance

2.       A random sample of boots worn by 40 combat soldiers in a desert region showed an average life of 1.08 years with a standard deviation of 0.05 Under the standard conditions, the boots are known to have an average life of 1.28 years. Is there reason to assert at a level of significance of 0.05 that use in the desert causes the mean life of such boots to decrease?

3.       In two large population, there are 30 % and 25 % respectively of blue eyed people . Is this difference likely to be hidden in the sample of 1200 and 900 respectively from the two population.

(TO BE CONTINUED…..)

4.       A company manufacturing a certain type of breakfast cereal claims that 60 per cent of all housewives prefer that type to any other. A random sample of 300 housewives contains 165 who do prefer that type. At 5 per cent level of significance ,test the claim of company.

5.       Two independent samples are drawn from two different population. The information is given below:

Sample size           Mean           S.D.

100              1200            240

200              900              20

Test whether the variability of life of bulbs of the factories significantly differ.

SMALL SAMPLE TESTS

1.       In 15 half – hour evening program, the mean time devoted to commercials was 6.4 minutes with s1 =2 minutes . In 15 hour morning programs the mean time was 5.8 minutes with        s2 =

1.5 minutes. Test at 5 % level of significance, if the data indicates that the mean time devoted to commercials is significantly less in the mornings?  (Assume that the populations are normally distributed with same but unknown variance.

2.       The Peak Expiratory Flow Rate (PEFR) of 9 asthma patients was taken before and after a walk on an extremely cold winter day for comparing the rates. The following data was obtained:

Patient	1	2	3	4	5	6	7	8	9
Before	312	242	340	388	296	254	391	402	290
After	300	201	232	312	220	256	328	330	231

Test whether there is any significantly difference between the PEFR of asthma patients before and after a walk on a cold winter day.

3.       A manufacturer of cells tested 25 cells to find their mean lifetime. The sample indicated an average of 420 hours with a standard deviation of 43 hours. Find a 95 % confidence interval for mean lifetime of the cells.