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The mean gasoline consumption of 10 cars is 28 liters with a standard

deviation of 1.6 liters. Find the interval estimate using 95% confidence

interval.



average senior high annual costs of tuition fee for all private schools last year was php43,700,a random sample 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 sufficent evidence for conclude that the cost increased ?

2. A random variable X can have values -4. - 1, 2, 3 and 4, each with probability 1/5 Find: the density function f_{Y} . the distribution function F_{y} , the mean E(Y) . and the variance sigma_{y} ^ 2 , of the random Y = 3X ^ 3

an=3an-1+(n2+n-2)3n

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



7. 𝑛 = 9

𝜇 = 5.3

𝜎 = 3

Mean:


Variance:


Standard Deviation:


8. 𝑛 = 11

𝜇 = 4.23

𝜎 = 5

Mean:


Variance:


Standard Deviation:


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:


(D^3+1) y= 3+e^(-x) +5e^2x?

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?

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

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