Exam 1 1- Let a Population be { 5,7,9,11,13,15} Find the sample mean distribution for pairs. (a)Find the...

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Basic Math

Exam 1

1- Let a Population be { 5,7,9,11,13,15}

Find the sample mean distribution for pairs.

(a)Find the Mean + Standard deviation of your distribution

(2)Sketch The distribution.

(3)Compare the values of the mean and standard deviation of theprobability mean distribution and the population.

“ Do not give decimals , give exact values”

Extra credit : Do problem #1 using R



10.33- In each of the following examples,state whetherwe are sampling from a finite population or a hypotheticallyinfinite population , and describe the population.

a-A personnel manager selects 5 of 20 job applicants for aninterview.

b-We weigh a gold nugget three times and use the average weobtain as its weight.

c-We observe how many heads we get in 100 flips of a balancedcoin.

d-We select 5 of 25 picture postcards displayed in a store tomail to friends.

e-We observe the gasoline mileage obtained by our car for aperiod of time estimate the miles per gallon for the car.

10.34- Obtain the probability , by counting , of eachpossible sample if a random sample of size 2 is takenfrom

a-A finite population of size 3.

b-A finite population of size 4.

10.35- When we sample from an infinite population , whathappens to the standard error of the mean when the sample sizeis

a-Increased from 30 to 120.

b-Decreased from 245 to 5.


10.36- When we sample from an infinite population , whathappens to the standard error of the mean when the sample sizeis

a-Decreased from 1000 to 10?

b-Increased from 80 to 500


10.37- What is the value of the finite populationcorrection factor when

1-N= 100 and n= 10;

2-N=300 and n=25

3-N=5000 and n=100

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