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A population consists of the five measurements 4,6,8,10 and 1. How many possible samples of size n=4 can be drawn from the population? *



3 points



5

An electronic company in Laguna manufactures resistors that have a mean resistance of 120 ohms and a standard deviation of 13 ohms. Find the probability that a random sample of 40 resistors will have an average resistance greater than 114 ohms.


Use newton raphson method to Find an approximate root of x3



-5x+3 = 0 that lies in



[0,1]. Find the approximation to three decimal places.





  1. Two given lines are either parallel, skew or intersecting. (6 marks)
  2. Determine, if there is one, the point of intersection of the lines given by the equations

x−1/−3=y−8/6=z−3/−2    and    x−8/4=y+3/−5=z−7/2

    b. Give the equations of two lines that meet at the point (–1 5, 2) and which meet at right angles, but do not use that point in either of the equations. Explain your reasoning


The Malayo Colleges Mindanao recently conducted a study analyzing the privacy management habits of teen internet users. In a group of 192 teens, 68 reported having more than 100 followers on Twitter. Find the upper bound of a 90% confidence interval for the true proportion of teens who would report having more than 100 followers on Twitter. 


The Malayo Colleges Mindanao recently conducted a study analyzing the privacy management habits of teen internet users. In a group of 164 teens, 134 reported having more than 100 followers on Twitter. Find the lower bound of a 90% confidence interval for the true proportion of teens who would report having more than 100 followers on Twitter. 


A random sample of n =300 observations from a binomial population produced x=125. Estimate the population proportion and determine the standard error.


In a math test,the mean score is 45 and the standard deviation is 4. Assuming normality, what is the probility that a score picked at random will kie above 50?


A group of students got the following scores in an achievement test: 9 12 15 18 21 and 24. Consider sample size of 3 that can be drawn from this population. And construct a sampling distribution of the resulting sample means


The tallest living man at the time of this writing is Sultan Kosen, who has a height of 251 cm. The shortest living man is Chandra Bahadur Dangi, who has a height of 54.6 cm. Heights of men have a mean of 174.12 cm and a standard deviation of 7.10 cm. Which of these two men has the height that is more extreme?


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