Question

A real estate company manages apartment complexes in a certain city. They currently have 3030 units...

A real estate company manages apartment complexes in a certain city. They currently have

3030

units available for rent. The monthly rental prices​ (in dollars) for this population of 30 units are in the accompanying table. Complete parts a and b below.

605605

960960

775775

955955

800800

855855

390390

385385

795795

515515

590590

990990

675675

440440

745745

995995

505505

910910

385385

895895

955955

850850

700700

420420

700700

770770

565565

750750

435435

890890

a. What is the range of possible sampling error if a random sample of size

nequals=6

is selected from the​ population?The possible sampling error ranges from

negative 297.50−297.50

to

254.16254.16.

​(Round to two decimal places as needed. Use ascending​ order.)

b. What is the range of possible sampling error if a random sample of size

nequals=10

is​ selected? The possible sampling error ranges from

negative 243.67−243.67

to

218.83218.83.

​(Round to two decimal places as needed. Use ascending​ order.)

Compare your answers to parts a and b and explain why the difference exists.

A.

As the sample size​ increases, the range of sampling error increases.

B.

As the sample size​ increases, the sampling error becomes more positive.

C.

Sample size has no effect on the sampling error.

D.

As the sample size​ increases, the sampling error becomes more negative.

E.

As the sample size​ increases, the range of sampling error decreases.

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