IMPORTANT QUESTIONS AND QUESTION BANK
UNIT-I TESTING OF HYPOTHESIS
2-Marks Statistics and Numerical Methods
1. Define type-I error and type-II error?
2. Mention the various steps involved in testing of hypothesis?
3. What are null and alternate hypothesis?
4. What is the essential difference between confidence limits and tolerance
limits?
5. What are the parameters and statistics in sampling?
in
6. State level of significance?
7. Write down the formula of statistics ‘t’ to test the significance of difference
n.
between the means?
8. What are the application of t-test?
aa
9. Write a formula for the chi-square test of goodness of fit of a random sample
to a hypothetical distribution?
10. Give the main use of 𝜑 2 test?
iy
or
13-Marks
1. The main life time of sample of 100 light tubes produced by a company in
.p
found to be 1580 hours with standard deviation of 90 hours. Examine the
hypothesis that the mean life time of the tubes produced by the company is
w
1600 hours.
w
2. A sample of 100 students is taken from a large population. The mean height of
the students in this sample is 160cms. Can it be reasonably regarded that
w
sample is form the populations of mean 165cm and standard deviation 10cm?
also estimate the 95%fidicial limits for the mean.
3. A simple sample of heights of 6400 Englishmen has a mean of 170cms and a
standard deviation of 6.4cms, while a simple sample of heights of 1600
Americans has a mean of 172cms and a standard deviation of 6.3cms. Do the
data indicate that Americans are on the average, taller than Englishmen?
4. A certain medicine administered to each of 10 patients resulted in the following
increases in the B.P.8,8,7,5,4,1,0,0, -1, -1. Can be concluded that the
medicine was responsible for the increase in B.P.5% l.o.s
5. The theory predicts that the population of beans in the four groups A, B, C and
D should be 9:3:3:1. In an experiment among 1600 beans, the number in the
four groups was 882,313,297 and 118. Do the experimental results support the
survey?
https://play.google.com/store/apps/details?id=com.poriyaan.poriyaan
, Selectivity Low Average High
Low 6 12 32
Average 33 61 18
High 13 15 0
Use 0.01 level of significance to test weather there is a relationship between
fidelity and selectivity.
in
7. In a certain factory there are two independent processes manufacturing the
same item. The average weight in a sample of 250 items produced from one
n.
process is found to be 120 Ozs, with a standard deviation of 12 Ozs, while the
corresponding figures in a sample of 400 items from the other process are 124
aa
and 14. In this difference between the two sample means significant?
8. Records taken the number of male and female births in 800 families having
four children are fellows:
Number of male births
iy
: 0 1 2 3 4
or
Number of female births : 4 3 2 1 0
Number of families : 32 178 290 236 64
.p
Infer whether the data are consistent with the hypothesis that the binomial law
1
w
holds the change of a male birth is equal to female birth, namely P = = q.
2
9. The mean produce of wheat from a sample of 100 fields comes to 200kg per
w
acre and another sample of 150 fields gives a mean 220kg per acre. Assuming
w
the standard deviation of the yield at 11kg for the universe, test if there ia s
significant difference between the means of the samples?
10. Two independent samples of sizes 9 and 7 from the normal population had the
following values of the variables
Sample1 18 13 12 15 12 14 16 14 15
Sample2 16 19 13 16 18 13 15
Justify whether the difference between the means of samples of samples
significant?
11. In a year there are 956 births in a town a of which 52.5% were male while in
towns A and B combined this proportion of male births was 0.496. If there any
significant difference in the proportion in a total of 1406 births was 0.496. Is
there any significant difference in the proportion of male births in the two
towns?
https://play.google.com/store/apps/details?id=com.poriyaan.poriyaan
Available in /Binils Android App too, Check www.Photoplex.Net & Android App
UNIT-I TESTING OF HYPOTHESIS
2-Marks Statistics and Numerical Methods
1. Define type-I error and type-II error?
2. Mention the various steps involved in testing of hypothesis?
3. What are null and alternate hypothesis?
4. What is the essential difference between confidence limits and tolerance
limits?
5. What are the parameters and statistics in sampling?
in
6. State level of significance?
7. Write down the formula of statistics ‘t’ to test the significance of difference
n.
between the means?
8. What are the application of t-test?
aa
9. Write a formula for the chi-square test of goodness of fit of a random sample
to a hypothetical distribution?
10. Give the main use of 𝜑 2 test?
iy
or
13-Marks
1. The main life time of sample of 100 light tubes produced by a company in
.p
found to be 1580 hours with standard deviation of 90 hours. Examine the
hypothesis that the mean life time of the tubes produced by the company is
w
1600 hours.
w
2. A sample of 100 students is taken from a large population. The mean height of
the students in this sample is 160cms. Can it be reasonably regarded that
w
sample is form the populations of mean 165cm and standard deviation 10cm?
also estimate the 95%fidicial limits for the mean.
3. A simple sample of heights of 6400 Englishmen has a mean of 170cms and a
standard deviation of 6.4cms, while a simple sample of heights of 1600
Americans has a mean of 172cms and a standard deviation of 6.3cms. Do the
data indicate that Americans are on the average, taller than Englishmen?
4. A certain medicine administered to each of 10 patients resulted in the following
increases in the B.P.8,8,7,5,4,1,0,0, -1, -1. Can be concluded that the
medicine was responsible for the increase in B.P.5% l.o.s
5. The theory predicts that the population of beans in the four groups A, B, C and
D should be 9:3:3:1. In an experiment among 1600 beans, the number in the
four groups was 882,313,297 and 118. Do the experimental results support the
survey?
https://play.google.com/store/apps/details?id=com.poriyaan.poriyaan
, Selectivity Low Average High
Low 6 12 32
Average 33 61 18
High 13 15 0
Use 0.01 level of significance to test weather there is a relationship between
fidelity and selectivity.
in
7. In a certain factory there are two independent processes manufacturing the
same item. The average weight in a sample of 250 items produced from one
n.
process is found to be 120 Ozs, with a standard deviation of 12 Ozs, while the
corresponding figures in a sample of 400 items from the other process are 124
aa
and 14. In this difference between the two sample means significant?
8. Records taken the number of male and female births in 800 families having
four children are fellows:
Number of male births
iy
: 0 1 2 3 4
or
Number of female births : 4 3 2 1 0
Number of families : 32 178 290 236 64
.p
Infer whether the data are consistent with the hypothesis that the binomial law
1
w
holds the change of a male birth is equal to female birth, namely P = = q.
2
9. The mean produce of wheat from a sample of 100 fields comes to 200kg per
w
acre and another sample of 150 fields gives a mean 220kg per acre. Assuming
w
the standard deviation of the yield at 11kg for the universe, test if there ia s
significant difference between the means of the samples?
10. Two independent samples of sizes 9 and 7 from the normal population had the
following values of the variables
Sample1 18 13 12 15 12 14 16 14 15
Sample2 16 19 13 16 18 13 15
Justify whether the difference between the means of samples of samples
significant?
11. In a year there are 956 births in a town a of which 52.5% were male while in
towns A and B combined this proportion of male births was 0.496. If there any
significant difference in the proportion in a total of 1406 births was 0.496. Is
there any significant difference in the proportion of male births in the two
towns?
https://play.google.com/store/apps/details?id=com.poriyaan.poriyaan
Available in /Binils Android App too, Check www.Photoplex.Net & Android App
