Question

Determine the mean and standard deviation of your sample. Find the 80%, 95%, and 99% confidence...

  • Determine the mean and standard deviation of your sample.
  • Find the 80%, 95%, and 99% confidence intervals.
  • Make sure to list the margin of error for the 80%, 95%, and 99% confidence interval.
  • Create your own confidence interval (you cannot use 80%, 95%, and 99%) and make sure to show your work. Make sure to list the margin of error.
  1. Problem Analysis—Write a half-page reflection.
  • What trend do you see takes place to the confidence interval as the confidence level rises? Explain mathematically why that takes place.
  • Provide a sentence for each confidence interval created in part c) which explains what the confidence interval means in context of topic of your project.
  • Explain how Part I of the project has helped you understand confidence intervals better?

The data is from: https://www.bea.gov/data/consumer-spending/state --> DATA ONLY --> (MILLIONS OF DOLLARS) 2018

My Data:

Connecticut
Maine
Massachusetts
New Hampshire
Rhode Island
Vermont
Delaware
District of Columbia
Maryland
New Jersey
New York
Pennsylvania
Illinois
Indiana
Michigan
Ohio
Wisconsin
Iowa
Kansas
Minnesota
Missouri
Nebraska
North Dakota
South Dakota
Alabama
Arkansas
Florida
Georgia
Kentucky
Louisiana
Mississippi
North Carolina
South Carolina
Tennessee
Virginia
West Virginia
Arizona
New Mexico
Oklahoma
Texas
Colorado
Idaho
Montana
Utah
Wyoming
Alaska
California
Hawaii
Nevada
Oregon
Washington
Total Personal Consumption Expenditures by State and Region
189,141
60,894
380,277
70,699
47,731
31,284
42,655
44,361
282,921
469,735
1,029,888
573,815
574,429
252,150
407,475
477,536
246,818
122,914
110,339
266,161
245,425
80,432
36,863
38,950
165,716
102,755
876,422
383,834
157,066
168,245
92,831
370,883
176,365
246,025
384,479
65,138
257,505
75,977
136,037
1,120,665
251,595
64,514
45,359
119,240
24,707
37,053
1,858,421
69,262
125,801
179,015
350,959
0 0
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Answer #1

Answer :

1) we have to find mean and standard deviation

By using Excel:

state no. Total Personal Consumption Expenditures
1 189,141
2 60,894
3 380,277
4 70,699
5 47,731
6 31,284
7 42,655
8 44,361
9 282,921
10 469,735
11 1,029,888
12 573,815
13 574,429
14 252,150
15 407,475
16 477,536
17 246,818
18 122,914
19 110,339
20 266,161
21 245,425
22 80,432
23 36,863
24 38,950
25 165,716
26 102,755
27 876,422
28 383,834
29 157,066
30 168,245
31 92,831
32 370,883
33 176,365
34 246,025
35 384,479
36 65,138
37 257,505
38 75,977
39 136,037
40 1,120,665
41 251,595
42 64,514
43 45,359
44 119,240
45 24,707
46 37,053
47 1,858,421
48 69,262
49 125,801
50 179,015
51 350,959
mean 274,289
standard deviation 332388.9895

Mean = 274,289

Standard deviation = 332388.9895

2) we obtain confidence intervals for given data.

i] for Confidence Level: 80%

Sample Size: 51
Sample Mean: 274
Standard Deviation: 332388.9895
Confidence Level: 80%

  80% Confidence Interval: 274 ± 59600
(-59300 to 59900)

ii ]  for Confidence Level: 95%

Sample Size: 51
Sample Mean: 274
Standard Deviation: 332388.9895
Confidence Level: 95%

  95% Confidence Interval: 274 ± 91200
(-90900 to 91500)

iii]   for Confidence Level: 99%

Sample Size: 51
Sample Mean: 274
Standard Deviation: 332388.9895
Confidence Level: 99%

99% Confidence Interval: 274 ± 120000
(-120000 to 120000)

3) From above 3 confidence intervals we conclude that lower limits of confidence intervals are decreases and upper limits of confidence intervals are increases .

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