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List down 5 of Random Sampling and 5 examplesof Non Random Sampling. Also, identify if what particular random sampling and non sampling techniques are being applied.


First Column


Random Sampling

1.

2.

3.

4.

5.


Second Column


Non Random Sampling


1.

2.

3.

4.

5.


d) A random sample of size 36 was taken from a population distributed as Nμ,3.92.The value of the sample x was 15.6. i. Find a 90% confidence interval for μ.                                 (5mks)

It is believed that value of μ is 17. Use your confidence interval to comment on this belief.(2mks)

  1. Using the provided information below,

x=33.2 , x2=131.67,  y=30.78 , y2=116.52xy=119.8 , and n=10

  1. Find the sample correlation coefficient r                                                                 (4mks)
  2. Find the co-efficient of determination                                                                    (2mks)

study was made of a sample of 25 records of patients seen at a chronic


disease hospital on an


outpatient basis. The mean number of outpatient visits per patient was 4.8,


and the sample standard


deviation was 2. Can it be concluded from these data that the population mean


is greater than four


visits per patient? Let the probability of committing a type I error be .05. What


assumptions are


necessary?

1) Identify the validation checks that you could use for the following inputs and justify your choice:

If more than a single validation check would be required from your perspective, please indicate which ones and why.

1a) Entering a telephone number.

1b) Entering a student's name.

1c) Entering a part number in this format: XXX999, where X must be any letter from the standard western alphabet (A-Z), and 9 must be replaced with a single digit between 0 and 9.


2) Write an algorithm using pseudocode to check the age and height of a child who wants to go on a fairground ride. The child's age must exceed 7, but below 12, their height must exceed 110 cm, but below 150 cm.


3) Write an algorithm using pseudocode to verify that a password's length exceeds 8 characters, but is shorter than 12 characters. (INCLUSIVE 8-12)


Differentiate between Pareto efficiency and Pareto improvement with the help of Edgeworth box.


3.2.1 Write the state-space form of equation using the state assignments



X = [Vx iL]^t , y = Vx.



3.2.2 Write the state-space form of equation (7) using the state assignments



X = [Vx V×]^t , y = Vx



3.2.3 Show that the transfer function of the circuit in Figure 4, could be written :



G2(s) = Vx/Vu = 1/ (LCs² + CRs +1)



3.2.4 Show that the transfer function G2(s) could also be written as :



G3(s) = w²n/(s² + 2 ζwns + w²n) where the natural frequency is given as wn = 1/√LC .



What is the expression for the damping factor ζ.





A study by Thienprasiddhi et al. (A-4) examined a sample of 16 subjects


with open-angle glaucoma


and unilateral hemifield defects. The ages (years) of the subjects were:


62 62 68 48 51 60 51 57


57 41 62 50 53 34 62 61


Can we conclude that the mean age of the population from which the sample


may be presumed to have been drawn is less than 60 years? Let alpha = 0.5

7.2.2 A study by Thienprasiddhi et al. (A-4) examined a sample of 16 subjects 

with open-angle glaucoma

and unilateral hemifield defects. The ages (years) of the subjects were:

62 62 68 48 51 60 51 57

57 41 62 50 53 34 62 61

Can we conclude that the mean age of the population from which the sample 

may be presumed to have been drawn is less than 60 years? Let alpha = 0.5


Conduct P-value method

The Mathematics Department in a certain university is conducting a study to determine how long it takes its graduates to find a job. A sample of 80 graduates was surveyed and it was found out that the average time it has taken a graduate to find a new job is 2.5 months, with a standard deviation of 2 months. Is there a sufficient evidence to conclude that the graduate of this department takes on the average more than two months to find a job? Use the 90% confidence level. 




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