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B. Find the mean (𝝁) variance (𝝈 2)and standard deviation (𝝈) of the population given the sample size, and the means and variances of the sampling distribution of the means. Sample size n were randomly selected from the population



4. 𝑛 = 5

𝜇𝑥 = 3

𝜎²𝑥 = 4.5

Mean:


Variance:


Standard Deviation:


5. 𝑛 = 7

𝜇𝑥 = 10

𝜎²𝑥 = 6

Mean:


Variance:


Standard Deviation:


A. Find the mean (𝝁𝑿), variance (𝝈 𝑿

𝟐) and standard deviation (𝝈𝑿) of the sampling distribution of the means given the sample size, and the means and variances of the population. Sample size n were randomly selected from the population.


1. 𝑛 = 3

𝜇 = 6

𝜎² = 2.4

Mean:


Variance:


Standard Deviation:


2. 𝑛 = 25

𝜇 = 20

𝜎² = 5.5

Mean:


Variance:


Standard Deviation:


Find the curl Fgiven that Fx,y,z=3x^2i+2zj-xk.



Select one:



A. -2i-j




B. 2i+j




C. -2i+j




D. 2i-j

2. Average Senior High School annual cost of tuition fee for all private schools last year


was Php43,700. A random sample of costs this year for 45 private schools indicated


that the sample mean was Php45,800 and a sample standard deviation was Php5,600.


At 0.01 level of significance, is there sufficient evidence to conclude that the cost


increased?

If ψ=2xz^4-x^2y, find |∇ψ| at point (2, -2, -1).



Select one:



A. 93




B. 293

A population consist of three numbers 3,4,8.Consider all possible samples of size 2 which can be drawn with replacement from the population.Find the following population mean, population variance, population standard deviation

List the members of the following sets.




1. {x| x is real numbers and x²=1}




2. {x| x is an integer and -4 < x ≤ 3}

Find an equation for the tangent plane to the surface 2xz^2-3xy-4x=7 at the point (1, -1, 2).



Select one:



A. 1




B. 0


An example in the xy -plane. A force F=x^2yi+xy^2j acts on a body as it



moves between (0, 0) and (1, 1). Determine the work done when the path is along the line y=x.



Select one:



A. 1




B. 14




C. 13




D. 12


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