athx.ccmi BUSN 5760 oc SU 2017 Applied Business Statistics Dwayne Middleton & 18

Question

athx.ccmi BUSN 5760 oc SU 2017 Applied Business Statistics Dwayne Middleton & 18/17 10:50 PM Quiz: Week 3 Quiz CH 7 & 8 Time Remaining: 0 08.28 Submil Quiz This Question: 1 pt 2 of 10 (6 complete v This Quiz: 13 pts possible The following data represent number of days abse per year in a population of six erruployees a al oormparly. Complele parts a) through (d). 1, 2, 5.7, 9, 10 (3) Assuming that you sample without replaccment, sclcolall possible samples of n 2 and construct th: sampling dis ribution of the mean. Compute the mcan or all the samplc mcans and abo compul th population rmoan Nethcy cqual? What is this property called Construd the sampling distribulion of lhe can. Choose the oorrcct graph below. O A. O C. Moan In-2) Mean in 21 Moan The mean of all the sample means for n 2 without replacement is Round to two decimal places as needed.) The populetion meen is Round eeded. Are the mean not all the sample means and the population mean equal? What is this property caledi Choose the correct answer helow O A. The mean of all the sample means for n -2without replacement and the population mean ere not equal. This property is called the unbiased property of the sample mean. O B. he mean ot all the sample means tor n-2 without replacement and the populahon mean are equal. Ihr5 property is called the unhased property ot the sample mean. O C. The of all the sample means kor 2 without ICplacenie and Ule population Incan are equal. This property is called the untiastxi property of tho population mear O D. The mean of all the semple means for n -2 without replacement and the population mean ere not equal This property is called the unbiesed property of the population mean (b) Repeat part (a) torall possible values of n-3. Click to sclcct your answcr

Explanation / Answer

Answer

The data is given as 1,2,5,7,9,10.

a) So assuming that I have sampled without replacement, the all possible values of sample n=2, and the corresponding mean is as follows,

The sampling distribution of mean is,

So according to this samling distribution graph C is the right one.

So here the mean of sample means for n=2 without replacement is 5.67( approax)

and the population mean=(1+2+5+7+9+10)/6=5.67

And as we see from these results,

B. The mean of all the sample mean for n=2 without replacement and the population mean are equal. The property is called the unbiased property of sample means.

Hence the answer..............

Thank you.................

Sample of size n=2 with replacement First unit Second unit Mean 1 2 1.5 1 5 3 1 7 4 1 9 5 1 10 5.5 2 1 1.5 2 5 3.5 2 7 4.5 2 9 5.5 2 10 6 5 1 3 5 2 3.5 5 7 6 5 9 7 5 10 7.5 7 1 4 7 2 4.5 7 5 6 7 9 8 7 10 8.5 9 1 5 9 2 5.5 9 5 7 9 7 8 9 10 9.5 10 1 5.5 10 2 6 10 5 7.5 10 7 8.5 10 9 9.5 Total 170 Average 5.67

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