PROBLEMS9,10,11,12,13,14,15,AND 16USE THE FOLLOWING INFORMATION.

YOU HAVE A NORMALLYDISTRIBUTED POPULATION WITH A TRUE MEAN.You choose a SRS

of 16observations from this Normal population.The sample mean=106,and the SAMPLE

standard deviation is s =12.

9.Calculate the STANDARD ERROR OF THE MEAN.

A.6

B.3

C.2

D.4

E.5

10.What is the correct number of DEGREES OF FREEDOM?

A.11

B.12

C.15

D.16

E.17

11.What CRITICAL VALUE t*would you use to get a 99%CONFIDENCE INTERVAL for the true mean?

A.2.172

B.2.896

C.2.807

D.1.990

E.2.947

12.What is the MARGIN OF ERROR associated with this 99%CONFIDENCE INTERVAL?

A.+/- 11.244

B.+/- 3.980

C.+/- 8.688

D.+/- 8.841

E.+/- 14.480

Now calculate the 99%CONFIDENCE INTERVAL for the true meanof this population.

A+/- .1068.688

B.+/- 1068.841

C.+/- 10614.480

D.+/- 10611.244

E.+/- 1063.980

14.Suppose that you only want a 90%CONFIDENCE INTERVAL for the true meanof this population.

COMPARED TO THE MARGIN OF ERROR for the 99%CONFIDENCE INTERVAL,the MARGIN

OF ERROR for the 90%CONFIDENCE INTERVAL for the true meanof this population will be

A.the same

B.larger

C.smaller

D.larger or smaller depending on the sample

E.can not tell without more information

15.Suppose instead you want a 99.8%CONFIDENCE INTERVAL for the true meanof this population.

COMPARED TO THE MARGIN OF ERROR for the 99%CONFIDENCE INTERVAL,the MARGIN OF ERROR

for the 99.8%CONFIDENCE INTERVAL for the true meanof this population will be

A.the same

B.larger

C.smaller

D.larger or smaller depending on the sample

E.can not tell without more information

16.Suppose instead you decide to INCREASE the sample size of the SRS from this population from

16observations to25observations.Assumingthat s = 12 is STILL CORRECT, then the MARGIN OF

ERROR for the 99% CONFIDENCE INTERVAL for the true meanof this population will be

A.the same

B.larger

C.smaller

D.larger or smaller depending on the sample

E.can not tell without more information