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Q.2- 1) For the given relation R = {(1,1), (1,2), (2,3), (3,1), (3,2)} defined on set A = {1,2,3}, find its transitive closure, R* using Warshall’s algorithm *
Suppose the mean number of days to germination of a variety of seeds is 34, with a standard deviation of 4.3 days. What is the probability that the mean germination time of a sample of 250 seeds will be within 0.5 days of the population mean?
Find the dy/dx of each of the following:
1.y=〖5x〗^3-〖4x〗^2+3x-6
2.y=∛x+4/x+√x
3.y=(3-x^2 )(x^3-x+1)
4.y=(x^2+1)(x+5+1/x)
5.y=(5x+1)/(2√x)
Four observers determine the moisture content of samples of a powder, each man taking a sample from each of six consignments. Their assessments are given below:
Observers
Consignments
Consignments
Observers 1 2 3 4 5 6
1 9 10 9 10 11 11
2 12 11 9 11 10 10
3 11 10 10 12 11 10
4 12 11 11 14 12 10
Discuss whether there is any significant difference between consignments. (Useful data: Ftab(5,15):2.96, Ftab(3,15):3.29)
Can any one answer this question
How to show the polynomials are linearly dependent or independent
How to determine the radius and coordinates of a circle while given equation
Using the row reduction method to solve equations
In order to test the proportion of smokers who agree with the prohibition of smoking in public buildings, a researcher takes a random sample of 500 smokers. He found that 155 of them agree that smoking should not be allowed in public buildings.
a) Write the formula for 1-∞(100%) confidence interval for the true proportion.
b) Calculate the size of maximum error for the 99% confidence interval.
c) Obtain a 99% confidence interval for the population proprotion of smokers who think that smoking should not be allowed in public buildings.
A publishing company published a reference book and collected information on the prices of 16 similar reference books in order to determine an appropriate price for its book. The sample gives mean RM 70.50 and standard deviation RM 4.50. Assume the price is normally distributed.
a) Suppose x is chosen as a point estimate for the population mean. Show that this estimator is unbiased.
b) Determine the sampling distribution for the sample mean, x.
Ms. Cruz wants to know the average weekly allowance of the grade 10 students. She randomly asked 50 students how much their weekly is. She found out the average weekly allowance of these 50 students is 375. Identify the parameter and statistic.
uppose sample of size of 36 is drawn from a population with a mean of 60 and standard deviation 12. What is expected value of sample means?
A population consists of the values (1, 3, 4). How many samples of size 2 can be drawn from this population considering that replacement is allowed?
If the sum of the lengths of the two bases of a trapezoid is 100cm, what is the length of
its median?
