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3. Based from record, the population standard deviation of the monthly income of all newly hired IT graduates is Php500.00. A group of researchers surveyed 20 newly hired IT graduates and obtained a mean monthly income of Php33, 500.00. Assuming that their monthly income is approximately normally distributed, Find:





a. the point estimate of population





b. the margin of error if the confidence level is at 90%.





c. the 98% confidence interval of the monthly income of all the newly hired IT graduates.





4. XYZ University claims that some of their BS Accountancy first year students shifted to another course because of their retention policy, which is normally distributed. A random sample of 200 students revealed that 55 of them shifted to another course after their first year.





a. Compute the proportion estimate of the parameter.





b. Find the 95% confidence interval of the population proportion.

a) Determine the missing frequencies of the following distribution given that the median


is 33.5 and themode is 34.0.


Class limits 0-9 10-19 20-29 30-39 40-49 50-59 60-69 Total


Freq. 4 16 f3 f4 f5 6 4 230


b) Compute the arithmetic mean.


c) Compute the value below which 25% of the observations lie.


d) Compute the value above which 25% of the observations lie

1.Given a finite population 12, 14, 15, 16, and 20.




a Find the mean and the standard deviation to estimate the parameters.




b. Set up a sampling distribution of the mean using a sample size of 2 without replacement.




c. Show that the sampling distribution of the sample means is an unbiased estimator of the population mean.




2. Given the following data n = 75,= 50, and a = 10, the sampled population is normally distributed. a Compute the standard error of the mean.




b. At 95% confidence level, what is the margin of error?




c. Find 90% confidence interval for the population mean.





developer needs to input the following information from the console using programming to register passenger:passenger id:a random 7 digit number for passenger id with a default value;....passenger name:a string field for passenger name(maximum 50 characters);....email:a string field to capture the email;....password:a string field for password(maximum 30 characters);....Address:a string field to capture street,city details(maximum 100 characters);...Contact number:text field(maximum 10 characters);....once all fields are taken as input,passenger details need to be inserted in array/list/appropiate collection.after successful registration,a registration acknowledgment message need to be displayed on the console as "passenger registration is successfull".


Consider the relations Authors(auID,name) and Authoring(articleID,authorID), containing


information on names of authors, and who is authoring which papers, respectively.


i) Write an SQL query that returns for each article, its ID, title and the number of authors.


ii) Write an SQL query that returns the titles of articles authored by 'Robert Tarjan'.


iii) Write an SQL query that returns the number of co-authors of 'Robert Tarjan'. (I.e., the number of


authors who have written at least one article together with him

Write an SQL query that returns for each article, its ID, title and the number of authors.

Regardless of compounds p, q, r which pair of the molecules are isometric and give a reason. (Benzyl chloride)


1)     Write a program that accepts a set of integers (the user decides how many) and then stores them in an array. The main function then passes these values one by one to a method called get_even which returns 1 if the integer is even and 0 if it is odd. The main function should then specify which numbers were even, which ones were odd and their respective totals. It should also specify how many numbers were odd and how many were even. For example, if the user enters 25 34 56 17 14 20, the output should be: -

25 is an odd number

34 is an even number

56 is an even number

17 is an odd number

14 is an even number

20 is an even number 


There is a total of 2 odd numbers and their sum is 42.

There is a total of 4 even numbers and their sum is 124.

NB: All data input and output should be done in main. Don’t use % any where in the main function (% can be used in the method).                                 


A fluid flow through a 20 mm pipe at 3 m/s. Determine the required diameter of the

nozzle for it to flow at 20 m/s. Assuming the that the flow rate of fluid is constant.


In a hydroelectric power plant, 100 m 3 /s of water flows from an elevation of 70 m to a

turbine, where electric power is generated. The overall efficiency of the

turbine–generator is 86 percent. Disregarding frictional losses in piping, estimate the

electric power output of this plant.


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