8/7/2019 MKTR Problems
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1. ABC Ltd. Is considering the different television
advertisements for promotion of new products.The management
believes that advertisement A is more effective than advertisement
B. Two
test market areas with virtually identical consumer
characteristics are selected. Advertisement
A is used in one area and Advertisement B is used in another
area. In a random sample of 120
customers who saw advertisement A, 30 customers tried the
product. In a random sample of
200 customers who saw advertisement B, 44 tried the product.
Does this indicate that at
advertisement A is more effective than advertisement B, if 5%
level of significance is used?
2. A soap manufacturer wanted to know what percentage of the
citizens of Delhi uses his soap. Heconducted a survey and found
that out of 1000 persons selected at random for the purpose,
only 20 % use his soap. He spent Rs. 10 lakh on an advertisement
campaign to attract more
customers. In order to know the result of his campaign he
conducted another survey and found
that out of 1200 persons 25% are using his soap. Do you think
that the expenditure has really
increased the percentage of Delhi citizens using his soap? if 5%
level of significance is used?
3. A manager wants an estimate of average sales of salesmen in
his company. A random sample of50 out of 300 salesmen is selected
and average sales are found to be Rs. 1, 750. If the
population standard deviation is Rs. 200, the manger specifies a
98% level of confidence. What
is the interval estimate for population mean?
4. A sales clerk in the department store claims that 60% of the
shoppers entering the store leavewithout making a purchase. A
random sample of 100 shoppers showed that 35 of them left
without buying anything. Are these sample results consistent
with the claim of the sales clerk?
Use the level of significance of 5%.
5. In a random sample of 50 persons taken from a village A, 30
are found to be consuming tea. Inanother sample of 100 persons
taken from village B, 50 persons are found to be consuming tea.
Do the data reveal significant difference between the two
villages so far as the habit of taking
tea is concerned? Level of significance is 5%.
8/7/2019 MKTR Problems
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6. A company appoints four sales men X, Y, Z, and Q and observes
their sales in three seasons summer, winter and monsoon, the
figures (in lacs) are given in the following table:
Salesmen
Seasons X Y Z Q
Summer 36 36 21 35Winter 28 29 31 32
Monsoon 26 28 29 29
Find out whether the avg. sales of 4 salesmen is same or not? if
5% level of significance is used?
7. On the basis of the information given below about the
treatment of 200 patients suffering froma disease, state whether
the new treatment is better or not? (Check at 5% level of
significance).
No. of Patients
Favourable Not Fabourable Total
New 60 30 90Conventional 40 70 110
100 100 200
8. The manager of a movie theater hypothesized that twice as
many of the theaters patrons wereunder 30 as were 30 and over. A
sample of patrons yielded the following results:
Age Frequency
Under 30 310
30 and over 215
n = 525
Is the theater managers hypothesis about the population of
patrons correct?
9. A sales manger had promised the entire sales force a special
trip if average daily sales per salesperson were $ 6000 or more. A
sample of 10 salespersons yielded the following results:
Average
daily sales per salesperson = $6300; standard deviation = $900.
Can the sales manager conclude
that the entire sales force has reached the goal?
10.A company had adopted the following decision rule with
respect to introducing a new product:if average monthly consumption
is 200 ounces or more, we will enter into test market. An in-
home placement test of n = 50 yielded the following results:
Average monthly consumption =
196 ounces; standard deviation = 35. Given their decision rule,
what decision should they
make?
8/7/2019 MKTR Problems
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Problem related to Chi Square:
11.
Significance level 5%.Test the hypo: Length of stay in hospital
and proportion of insurance
covered are independent or not?
Days in Hospital
10 Total
Fraction of
costs
Covered by
insurance
50% 40 100 190 330
total 110 220 330 660
12.
Brand awareness in different city. Difference in ratio of more
than two samples. Significance
level 5%
City A City B City C City D Total
Awareness 68 75 57 79 279
Not Aware 32 45 33 31 141
100 120 90 110 420
