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A company is trying to decide which of two types of tires to buy for their trucks. They would like to adopt to brand C unless there is some evidence that brand D is better. An experiment was conducted where 16 tires from each brand were used. The tires were run under similar conditions until they wore out. The results are:
Brand C: x̄1 = 40,000 kms., s1 = 5,400 kms.
Brand D: x̄2 =38,000 kms., s2 =3,200 kms.
What conclusions can be drawn?
Two types of rice varieties are being considered for yield and a comparison is needed. Thirty hectares were planted with the rice varieties exposed to fairly uniform growing conditions.
The results are tabulated below:
variety A variety B
average yield 80 sacks/hectare 35 sacks/hectare
sample variance 5.9 12.1
At .05 significance level, can we conclude that variety A is the better type?
It is known from the records of the city schools that the standard deviation of mathematics test scores on the XYZ test is 5. A sample of 200 pupils from the system was taken and it was found out that the sample mean score is 75. Previous tests showed the population mean to be 70. Is it safe to conclude that the sample is significantly different from the population?
carrot. 10% of vegetarians like cucumber. 40% of meat eaters like broccoli. 60% of meat
eaters like carrot. What is the probability that a man who likes carrot is a meat eater?
2. Tossing 2 coins together, if at least one head comes roll a die else toss again. Find the
probability distribution for the random variable X which represents the number of tail as
output.
3. What is the coefficient of x⁹y⁶ in (x-y)
4. Explain Euclid’s Algorithm with an example?
Given that a person’s last chocolate purchase was kitkat, there is a 75% chance that his
next chocolate purchase will also be kitkat. 5% chance that his next chocolate purchase
will be park. If a person’s last chocolate purchase was park, there is an 70% chance that
his next chocolate purchase will be kitkat. 10% chance that his next chocolate purchase
will also be park. If a person’s last chocolate purchase was dairy milk, there is an 90%
chance that his next chocolate purchase will also be dairy milk, 5% of kitkat and 5% of
park.
(a) You may buy daily milk today with a chance of 99%. What is the probability that after 3
purchase you will switch to kitkat?
(b) Does this statement proof long run property of markov chain
steady state probabilities?
A normal population with unknown variance is believe to have a mean 20. Is one likely to obtain random sample of size 9 from this population that has a mean X=24 and a standard deviation of s=4.1?If not ,what conclusion would you draw?site:socratic.org
In a bioligical experiment 4 concentration of a certain chemical are used to enhance the growth of a certain type of plant over specified period of time.the following growth data,in centimeters,were recorded for the plant that survived: Concentration column 1 is 8.2 ,8.7 ,9.4, 9.2 column 2 is 7.7, 8.4,8.6,8.1,8.0 column 3 is 6.9 , 5.8 ,7.2,6.8,7.4,6.1 and column 4 is 6.8,7.3,6.3,6.9,7.1.Is there a significant difference in the average growth of these plants for the different concentration of the chemicals ?Use a 0.01 level of significance.
in acertain country the true probablilty of a baby being a girl is 0.466. among the next nine randomly selected births in the country, what is the probability that at least one of them is a boy
the drying time, in hours, of a certain brand of latex
paint.
3.4 2.5 4.8 2.9 3.6
2.8 3.3 5.6 3.7 2.8
4.4 4.0 5.2 3.0 4.8
Assume that the measurements are a simple random
sample.
(a) What is the sample size for the above sample?
(b) Calculate the sample mean for these data.
(c) Calculate the sample median.
(d) Plot the data by way of a dot plot.
(e) Compute the 20% trimmed mean for the above
data set.
(f) Is the sample mean for these data more or less descriptive as a center of location than the trimmed
mean?
#340153 on Dec 2023