geniusy_2007

The following is a list of 29 hospitals in the Cincinnati (Ohio) and Northern Kentucky region. The hospitals are identified by numbering them 00 through 28. Also included is whether the hospital is a general medical/surgical hospital (M/S) or a specialty hospital (S). We are interested in estimating the average number of full- and part-time nurses employed in the area hospitals.

A sample of five hospitals is to be randomly selected. The random numbers are 09, 16, 00, 49, 54, 12, and 04. Which hospitals are included in the sample? (Select hospital names included in sample in numerical order.)

A sample is to consist of every fifth location. We select 02 as the starting point. Which hospitals will be included in the sample? (Hint: Enter the ID number used to identify the hospitals) (Select hospital names included in sample in numerical order.)

According to an IRS study, it takes a mean of 330 minutes for taxpayers to prepare, copy, and electronically file a 1040 tax form. This distribution of times follows the normal distribution and the standard deviation is 80 minutes. A consumer watchdog agency selects a random sample of 40 taxpayers.

a.

What is the standard error of the mean in this example? (Round your answer to 3 decimal places.)

  Standard error of the mean

b.

What is the likelihood the sample mean is greater than 320 minutes? (Round z value to 2 decimal places and final answer to 4 decimal places.)

  Probability

c.

What is the likelihood the sample mean is between 320 and 350 minutes? (Round z value to 2 decimal places and final answer to 4 decimal places.)

  Probability

d.

What is the likelihood the sample mean is greater than 350 minutes? (Round z value to 2 decimal places and final answer to 4 decimal places.)

  Probability

Requirement a:

What happens to the standard error of the mean if the sample size is increased?

Requirement b:

What happens to the distribution of the sample means if the sample size is increased?

Requirement c:

When using the distribution of sample means to estimate the population mean, what is the benefit of using larger sample sizes?

The mean amount purchased by a typical customer at Churchill's Grocery Store is $21.00 with a standard deviation of $7.00. Assume the distribution of amounts purchased follows the normal distribution. For a sample of 42 customers, answer the following questions.

a.

What is the likelihood the sample mean is at least $22.50? (Round z value to 2 decimal places and final answer to 4 decimal places.)

  Probability

b.

What is the likelihood the sample mean is greater than $20.00 but less than $22.50? (Round z value to 2 decimal places and final answer to 4 decimal places.)

  Probability

c.

Within what limits will 99 percent of the sample means occur? (Round your answers to 2 decimal places.)

  Sample mean

and

Following is a list of the 50 states with the numbers 0 through 49 assigned to them.

Number

State

0     

         Alabama

1     

         Alaska

2     

         Arizona

3     

         Arkansas

4     

         California

5     

         Colorado

6     

         Connecticut

7     

         Delaware

8     

         Florida

9     

         Georgia

10     

         Hawaii

11     

         Idaho

12     

         Illinois

13     

         Indiana

14     

         Iowa

15     

         Kansas

16     

         Kentucky

17     

         Louisiana

18     

         Maine

19     

         Maryland

20     

         Massachusetts

21     

         Michigan

22     

         Minnesota

23     

         Mississippi

24     

         Missouri

25     

         Montana

26     

         Nebraska

27     

         Nevada

28     

         New Hampshire

29     

         New Jersey

30     

         New Mexico

31     

         New York

32     

         North Carolina

33     

         North Dakota

34     

         Ohio

35     

         Oklahoma

36     

         Oregon

37     

         Pennsylvania

38     

         Rhode Island

39     

         South Carolina

40     

         South Dakota

41     

         Tennessee

42     

         Texas

43     

         Utah

44     

         Vermont

45     

         Virginia

46     

         Washington

47     

         West Virginia

48     

         Wisconsin

49     

         Wyoming

 Click here for the Excel Data File

a.

You wish to select a sample of eight from this list. The selected random numbers are 45, 15, 81, 09, 39, 43, 90, 26, 06, 45, 01, and 42. From above choose the list of states which are included in the sample?

b.

You wish to use a systematic sample of every sixth item and the digit 02 is chosen as the starting point. Which states are included?