Mathematics homework help

1. This table lists the numbers of officers and enlisted personnel for women in military. At = 0.05, is there sufficient evidence to conclude that a relationship exists between rank and branch of the Armed Forces?

Officers Enlisted Total

Army 10791 62,491 73282

Navy 7816 42,750 50566

Marine Corps 932 9525 10457

Air Force 11819 54,344 66163

Total 31358 169110 200468

2. Listed is information regarding organ transplantation for three different years. Based on these data, is there sufficient evidence at = 0.01 to conclude that a relationship exists between year and type of transplant?

Year Heart Kidney/Pancreas Lung Total

2003 2056 870 1085 4011

2004 2016 880 1173 4069

2005 2127 903 1408 4438

Total 6199 2653 3666 12518

3. The amount of sodium in one serving for a random sample of three different kinds of foods listed. At the 0.05 level of significance, is there sufficient evidence to conclude that a difference in mean sodium amounts exists among condiments, cereals, and deserts?

Condiments Cereals Desserts

270 260 100

130 220 180

230 290 250

180 290 250

80 200 300

70 320 360

200 140 300

4. Americans appear to be eating healthier. Between 1970 and 2007 the per capita consumption of broccoli increased 1000% from 0.5 to 5.5 pounds. A nutritionist followed a group of people randomly assigned to one of three groups and noted their monthly broccoli intake. At = 0.05, is there a difference in means?

Group A Group B Group C

2 2 3.7

1.5 1.5 2.5

0.75 4 4

1 3 5.1

1.3 2.5 3.8

3 2 2.9

5. The average local cell phone monthly bill is $50.07. A random sample of monthly bills from three different providers is listed below. At = 0.05, is there a difference in mean bill amounts among providers?

Provider X Provider Y Provider Z

48.2 105.02 59.27

60.59 85.73 65.25

72.5 61.95 70.27

55.62 75.69 42.19

89.47 82.11 52.34

6. Annual child care costs for infants are considerably higher than for older children. At = 0.05, can you conclude a difference in mean infant day care costs for different regions of the United States?

New England Midwest Southwest

10390 9449 7644

7592 6985 9691

8755 6677 5996

9464 5400 5386

7328 8372

7. Three popular fast-food restaurant franchises specializing in burgers were surveyed to find out the number of calories in their frequently ordered sandwiches. At the 0.05 level of significance, can it be concluded that a difference in mean number of calories per burger exists?

FF#1 FF#2 FF#3

970 1010 740

880 970 540

840 920 510

710 850 510