1. A manufacturer claims that his market share is 60%. However a random sample of 500 customers reveals that only 275 are users of his product. Test the manufacturer's claim at the 1% level of significance.

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Practical 4
1. A manufacturer claims that his market share is 60%. However a random
sample of 500 customers reveals that only 275 are users of his product.
Test the manufacturer's claim at the 1% level of significance.
2. Suppose we want to determine whether height above sea level has an
impact on the boiling temperature of a certain liquid. Two independent
samples are taken. The first sample of size 80 taken at the coast shows a
mean boiling temperature of 78 degrees Celsius and a standard deviation
of 5 degrees Celsius. The second sample of size 100 taken inland has a
mean boiling temperature of 80 degrees Celsius and a standard deviation
of 10 degrees Celsius. Test the hypothesis at a 10% significant level that
there is no difference between the two mean boiling temperatures.
3. Suppose that we want to compare the clarity of two lakes in North
America. The clarity of Lake Tahoe was measured at 50 places and the
average depth of clarity was 4 meters with a standard deviation of 0.25
meters. The clarity of Lake Michigan was measured at 55 places and the
average depth of clarity was 3 meters with a standard deviation of 0.5
meters. Test the hypothesis at a 5% significant level that there is no
difference in the mean depth of clarity.
4. Two procedures were developed in research laboratory to purify oil,
namely procedure A, which is quite simple and quick, and procedure B,
which is considerably more expensive. Preliminary tests yielded the
following results:
Would you say that the mean amount recycled with procedure B is more
than with procedure A? Use a 5% significance level and assume that the
quality of oil recycled is normally distributed with equal
variances.
5. A certain nature conservationist claims that the average number of eggs
laid by a species of sparrow, after a major building project in its habitat, is
less than what it was before the building project started. She colletd the
1/2
"Stimoro
WIN YOUR SHARE OF
ND OUT MORE
Transcribed Image Text:4G *1 16% 12:30 Practical 4_sem2.docx Practical 4 1. A manufacturer claims that his market share is 60%. However a random sample of 500 customers reveals that only 275 are users of his product. Test the manufacturer's claim at the 1% level of significance. 2. Suppose we want to determine whether height above sea level has an impact on the boiling temperature of a certain liquid. Two independent samples are taken. The first sample of size 80 taken at the coast shows a mean boiling temperature of 78 degrees Celsius and a standard deviation of 5 degrees Celsius. The second sample of size 100 taken inland has a mean boiling temperature of 80 degrees Celsius and a standard deviation of 10 degrees Celsius. Test the hypothesis at a 10% significant level that there is no difference between the two mean boiling temperatures. 3. Suppose that we want to compare the clarity of two lakes in North America. The clarity of Lake Tahoe was measured at 50 places and the average depth of clarity was 4 meters with a standard deviation of 0.25 meters. The clarity of Lake Michigan was measured at 55 places and the average depth of clarity was 3 meters with a standard deviation of 0.5 meters. Test the hypothesis at a 5% significant level that there is no difference in the mean depth of clarity. 4. Two procedures were developed in research laboratory to purify oil, namely procedure A, which is quite simple and quick, and procedure B, which is considerably more expensive. Preliminary tests yielded the following results: Would you say that the mean amount recycled with procedure B is more than with procedure A? Use a 5% significance level and assume that the quality of oil recycled is normally distributed with equal variances. 5. A certain nature conservationist claims that the average number of eggs laid by a species of sparrow, after a major building project in its habitat, is less than what it was before the building project started. She colletd the 1/2 "Stimoro WIN YOUR SHARE OF ND OUT MORE
49 1 16% 12:30
Practical 4_sem2.docx
following data to back her claim.
Nest 1
2
3
4 5
6
7
8
9.
10 11
12
Befor 20 9
10 1 7
14 8
8
1 13 7
e
After 7
10 12 1
9.
14 8
11 8 3
11 3
If the number of eggs laid by
sparrows follows a normal distribution, test at a 5% level of significance if
the conservationist's claim is true.
6. A medical doctor claims that the proportion of female patients with high
blood-pressure is smaller than the proportion of male patients with high
blood-pressure. The doctor conducted a survey in his practice. Out of the
100 female patients only 13 had high blood-pressure and out of the 110
male patients, 33 had high blood-pressure. Test the doctor's claim at a 5%
level of significance. Assume that the population proportions are equal.
+
2/2
"Stimoro
WHEN YOU BUY 2 PARTICIPATING
STIMOROL PACKS
IND OUT MORE
Transcribed Image Text:49 1 16% 12:30 Practical 4_sem2.docx following data to back her claim. Nest 1 2 3 4 5 6 7 8 9. 10 11 12 Befor 20 9 10 1 7 14 8 8 1 13 7 e After 7 10 12 1 9. 14 8 11 8 3 11 3 If the number of eggs laid by sparrows follows a normal distribution, test at a 5% level of significance if the conservationist's claim is true. 6. A medical doctor claims that the proportion of female patients with high blood-pressure is smaller than the proportion of male patients with high blood-pressure. The doctor conducted a survey in his practice. Out of the 100 female patients only 13 had high blood-pressure and out of the 110 male patients, 33 had high blood-pressure. Test the doctor's claim at a 5% level of significance. Assume that the population proportions are equal. + 2/2 "Stimoro WHEN YOU BUY 2 PARTICIPATING STIMOROL PACKS IND OUT MORE
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