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Identify the random sampling technique used in each item.


________________1. You are given a list of all graduating students in your school. You decide to survey every 10th student on the list and ask them the organization that they belong.


________________2. You wish to make a comparison of the gender differences in Mathematics performance. You divide the population into two groups, male and female, and randomly pick respondents from each of the group. ________________3. You assign numbers to the members of the population and then use draw lots to obtain your samples to answeryour survey on the most popular festivals in the country.


________________4. You randomly pick five out of fifteen barangays to conduct your survey in your municipality or city about their best environment-friendly practices.


________________5. You write the names of each student in pieces of paper, shuffles, and then draw eight names to answer a survey on their ethical media practices

There are 150 students in a class. The distribution if their marks in a mathematics test are as follows




Class frequency




0-9 3




10-19 10




20-29 17




30-39 x




40-49 35




50-59 y




60-69 18




70-79 10




80-89 5




90-99 2




Required




The value of x given that the median mark is 44.357 (2marks)




The value of y given that the modal is 43.0 (2marks)




Draw an ogive of the data in (a) above (3 marks)




Use the ogive above to estimate




The 8th decile (2marks)




The 7-th percale (2marks)




The lower quartile (2marks)








Grace Ann wants to determine if the formula below describes a probability




distribution. Solve the following:





solve the D.E dy/dx = (6x^5-2x+1)/(cosy+e^y)


On a final examination in mathematics, the mean was 76 and the standard deviation was 5. Determine the



standard score of a student who received a score of 88 assuming the scores are normally distributed

let ck>0 for k=1,2,....,n.show that( c1+c2+....cn)/√n≤[ c1^2+c2^2+....+cn^2]^1/2≤c1+c2+...+cn


On a final examination in mathematics, the mean was 76 and the standard deviation was 5. Determine the




standard score of a student who received a score of 88 assuming the scores are normally distributed. (

Find all real numbers x such that


1<x^2<4

Between h0 and h1, what is good reason for starting a hypothesis test with h0?


Find the limit of Xn=1/2[Xn-1+Xn]





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