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