Please help me.. please!! Instruction. If the level of significance, LS, is not
ID: 3253070 • Letter: P
Question
Please help me.. please!!
Instruction.
If the level of significance, LS, is not specified, then assume it is 5%.
You must attach your Integrity Statement to the assignment.
Treat the set of data in Column1 as the population, and then use MniTab to obtain the population mean and standard deviation of the population BMI.
Question .1
a. Is the population data reasonably normal? Justify your answer. From here on, assume that population standard deviation is not known.
b. If the BMI is 32.00 or more, it is claimed that the health of the person could be at serious risk because of high level of obesity. Use MiniTab (Data Menu-Code-Numeric to Numeric) to code the data in Column1 and put it Column2, and name it ‘H_Obese’. When coding the BMI data in Column1 to Column2, use 31.999 and below as ‘0’ and 32.000 and above as ‘1’. Find the population proportion of highly obese males with data in Column2 by using MiniTab.
c. In Column4, a simple random sample, called “Sample1” of size 100, has already been drawn from Column2. Calculate manually and find a 95% symmetric confidence interval of the population proportion for this “Sample1” and confirm it with MiniTab.
d. Now use MiniTab ( Calc Menu-Random-Sample from Column- to Column) and draw 19 additional samples of size n = 100 from the 'H_Obese' column or Column2. The procedure must be repeated 19 times. Put these 19 additional samples in Column5 to Column23. Name these various samples as Sample2, Sample3, …, and Sample20. For each of these additional 19 samples, find the 95% confidence interval for the population proportion by using MiniTab.
e. Now examine the number of confidence intervals for the population proportion in all these 20 samples. Is this what you should expect? Justify your answer with doing the appropriate count.
f. Calculate the probability of the exact number of Confidence Intervals you obtained from among the 20 which you found above in part 'e', and which contained the population proportion in your experiment.
Below is minitab file...
Pop_BMI Pop_Coded Explanation Sample1 Sample_BMI
39.45 1 Column1: Pop_BMI 0 34.74
26.89 0 BMI values of the small town 0 16.79
20.3 0 Population 1 25.29
21.37 0 Column4: Sample1, Size = 100 0 30.98
26.46 0 Sample of 'Pop_Coded' values 0 29.73
21.06 0 taken from C2. 0 20.78
25.89 0 Column25: 'Sample_Mean', Size = 25 0 26.15
21.8 0 Sample of 'Pop_BMI' values 1 28.49
24.86 0 taken from C1. 0 28.58
22.95 0 0 31.95
33.38 1 0 38.57
34.65 1 0 26.7
39.56 1 1 22.12
22.45 0 0 33.18
27.16 0 0 24.14
22.85 0 1 23.56
32.07 1 1 22.35
16.58 0 0 22.11
28.71 0 0 30.34
37.27 1 0 33.55
30.67 0 1 26.49
33.45 1 1 22.28
26 0 0 25.63
31.15 0 0 29.35
32.18 1 1 30.45
27.78 0 1
31.66 0 0
15.85 0 1
30.64 0 0
32.05 1 0
19.85 0 0
39.98 1 0
26.2 0 0
29.44 0 0
38.32 1 0
32.99 1 1
34.31 1 0
37.53 1 0
35.58 1 0
30.02 0 0
19.08 0 0
18.24 0 0
36.36 1 1
29.22 0 0
44.76 1 0
19.78 0 0
23.95 0 0
28.33 0 0
23.39 0 0
24.66 0 1
36.67 1 0
31.78 0 0
27.67 0 0
32.16 1 1
17.82 0 0
23.35 0 1
38.4 1 0
19.64 0 0
25.45 0 0
27.54 0 1
22.66 0 0
26.76 0 0
23.28 0 0
29.39 0 0
22.35 0 1
21.46 0 1
29.47 0 0
21.53 0 0
25.97 0 1
30.87 0 0
30.68 0 1
23.56 0 0
30.02 0 0
28.42 0 0
25.8 0 1
27.89 0 0
45.63 1 1
29.72 0 0
29.62 0 0
22.22 0 0
34.27 1 0
23.42 0 1
20.78 0 0
32 1 0
26.14 0 1
31.2 0 0
41.57 1 0
21.85 0 0
36.18 1 0
29.18 0 1
32.16 1 0
33.78 1 0
28.61 0 0
19.82 0 0
35.35 1 0
31.78 0 1
23.88 0 1
30.06 0 0
25.21 0 0
30.97 0 0
23.65 0
26.73 0
30.98 0
25.84 0
19.91 0
13.21 0
26.56 0
23.01 0
32.14 1
26.69 0
33.48 1
28.02 0
35.29 1
30.19 0
19.98 0
25.92 0
29.2 0
30.83 0
29.02 0
26.63 0
35.35 1
28.76 0
25.7 0
31.52 0
22.5 0
17.81 0
31.42 0
31.42 0
21.64 0
27.42 0
20.18 0
19.78 0
27.4 0
23.52 0
17.36 0
23.85 0
26.26 0
31.92 0
21.07 0
27.01 0
25.03 0
28.63 0
30.4 0
41 1
25.27 0
23.76 0
22.89 0
25.96 0
16.87 0
29.37 0
28.15 0
29.88 0
28.11 0
31.23 0
18.9 0
30.83 0
28.4 0
17.55 0
30 0
15.26 0
28.45 0
29.4 0
28.21 0
34.9 1
28.92 0
22.05 0
39.59 1
28.95 0
25.54 0
30.02 0
23.58 0
35.69 1
20.3 0
19.7 0
35.94 1
25.35 0
34.23 1
33.36 1
30.72 0
21.44 0
30.41 0
30.06 0
24.27 0
41.31 1
33.92 1
25.41 0
22.04 0
29.12 0
17.13 0
22.2 0
26.7 0
34.14 1
18.11 0
22.72 0
25.43 0
25.04 0
20.14 0
30.84 0
23.62 0
29.05 0
29.47 0
17.81 0
41.97 1
19.61 0
31.91 0
21.37 0
36.21 1
23.62 0
34.9 1
34.73 1
32.91 1
31.22 0
16.88 0
16.39 0
28.96 0
32.76 1
30.15 0
28.14 0
30.9 0
28.97 0
27.52 0
29.3 0
35.76 1
22.32 0
26.08 0
36.39 1
22.93 0
25.93 0
32.33 1
41.75 1
19.67 0
29.78 0
29.62 0
33.68 1
31.22 0
26.71 0
32.77 1
27.79 0
34.09 1
30.54 0
33.72 1
30.27 0
34.87 1
17.57 0
29.86 0
31.49 0
30.51 0
19.78 0
33.81 1
20.26 0
27.67 0
29.7 0
27.24 0
27.37 0
25.52 0
23.62 0
22.04 0
26.4 0
19.82 0
31.15 0
23.26 0
25.8 0
27.47 0
33.59 1
25.89 0
27.07 0
26.22 0
31.44 0
30.83 0
37.07 1
32.6 1
30.6 0
31.53 0
37.29 1
29.77 0
22 0
33.85 1
24.61 0
28.98 0
24.06 0
32.68 1
25.38 0
19.35 0
28.32 0
26.05 0
33.01 1
39.97 1
14.78 0
15.84 0
21.63 0
26.68 0
24.79 0
26.31 0
24.01 0
25.87 0
36.47 1
19.74 0
17.81 0
14.42 0
29.53 0
34.62 1
34.85 1
24.3 0
33.35 1
19.73 0
38.42 1
33.43 1
29.49 0
36.12 1
29.8 0
36.96 1
11.14 0
34.6 1
34.05 1
28.38 0
26.81 0
38.88 1
29.62 0
32 1
33.89 1
25.21 0
20.23 0
17.57 0
25.14 0
25.6 0
26.33 0
31.17 0
23.08 0
37.75 1
28.62 0
22.97 0
23.32 0
30.77 0
39.33 1
31.93 0
24.74 0
29.23 0
30.75 0
32.11 1
27.68 0
25.2 0
36.11 1
28.25 0
36.22 1
12.69 0
28.43 0
30.05 0
28.24 0
18.11 0
33 1
33.27 1
30.08 0
21.61 0
33.49 1
34.83 1
26.1 0
24.66 0
29.16 0
21.83 0
32.63 1
35.55 1
38.35 1
31.3 0
25.22 0
25.77 0
30.08 0
29.92 0
33.34 1
36.17 1
30.98 0
25.08 0
28.25 0
29.82 0
31.88 0
23.04 0
24.21 0
32.2 1
30.24 0
28.16 0
34.28 1
29.57 0
34.57 1
33.59 1
33.84 1
28.53 0
30.29 0
31.76 0
41.91 1
33.11 1
31.09 0
29.11 0
17.66 0
32.52 1
36.32 1
24.18 0
16.74 0
33.92 1
35.26 1
30.87 0
27.08 0
42.23 1
39.42 1
31.05 0
34.69 1
28.24 0
36.48 1
32.02 1
41.09 1
28.52 0
26.57 0
32.42 1
34.07 1
32.36 1
35.6 1
36.3 1
30.82 0
13.83 0
11.81 0
38.06 1
21.77 0
31.28 0
30.34 0
37.97 1
29.89 0
26 0
35.51 1
26.93 0
29.8 0
29.17 0
30.72 0
22.76 0
19.61 0
30.23 0
27.5 0
30.71 0
42.54 1
30.92 0
23.24 0
24.15 0
37.75 1
37.26 1
29.3 0
23.83 0
32.08 1
40.69 1
45.83 1
19.19 0
25.16 0
16.08 0
28.7 0
29.95 0
26.48 0
36.78 1
29.15 0
27.79 0
22.14 0
24.5 0
35.55 1
29.18 0
20.92 0
34.15 1
29.04 0
31.43 0
34.15 1
20.98 0
33.19 1
23.47 0
33.71 1
25.15 0
30.58 0
32.52 1
36.07 1
30.99 0
33.02 1
27.79 0
27.11 0
25.32 0
38.85 1
20.04 0
28.31 0
16.4 0
27.51 0
28.94 0
21.3 0
28.13 0
17.45 0
25.63 0
32.57 1
25.81 0
30.96 0
26.88 0
22.59 0
26.14 0
30.96 0
27.77 0
34.09 1
15.45 0
18.6 0
32.06 1
26.23 0
19.53 0
37.23 1
24.93 0
26.26 0
28.92 0
20.89 0
20.96 0
29.4 0
31.49 0
35.94 1
25.15 0
23.32 0
25.79 0
26.29 0
31.41 0
21.81 0
21.84 0
29.85 0
33.54 1
29.25 0
25.67 0
21.3 0
25.36 0
22.11 0
19.7 0
19.61 0
44.24 1
28.34 0
23.04 0
29.21 0
28.26 0
27.15 0
24.14 0
33.88 1
19.66 0
29.54 0
29.39 0
26.81 0
15.72 0
25.14 0
30.82 0
23.62 0
30.29 0
30.77 0
29.58 0
31.24 0
17.19 0
24.82 0
24.88 0
28.39 0
24.55 0
22.46 0
35.29 1
26.47 0
28.94 0
28.41 0
24.34 0
29.29 0
35.34 1
16.47 0
22.66 0
18.12 0
30.75 0
29.06 0
11.76 0
22.07 0
29.39 0
24.51 0
24.09 0
25.67 0
30.13 0
20.14 0
22.14 0
19.18 0
29.47 0
38.94 1
26.4 0
19.06 0
34.49 1
16.04 0
20.67 0
32.6 1
31.01 0
29.61 0
26.87 0
21.23 0
29.84 0
42.53 1
29.54 0
28.77 0
34.13 1
22.09 0
27.41 0
31.74 0
24.73 0
23.74 0
35.17 1
28.56 0
16.27 0
33.77 1
29.29 0
40.81 1
25 0
20.65 0
28.08 0
29.31 0
22.29 0
32.19 1
22.12 0
31.54 0
36.81 1
31.13 0
25.29 0
31.89 0
27.74 0
31.35 0
29.96 0
29.67 0
29.84 0
42.3 1
40.67 1
36.2 1
18.65 0
33.54 1
31.52 0
29.68 0
34.03 1
27.31 0
19.4 0
20.68 0
17.08 0
23.9 0
29.56 0
34.4 1
23.78 0
30.79 0
25.68 0
20.64 0
30.11 0
35.89 1
24.69 0
21.41 0
23.51 0
38.05 1
25.94 0
32.32 1
26.76 0
19.56 0
24.62 0
24.3 0
22.29 0
26.34 0
30.08 0
25.09 0
29.71 0
23.58 0
20.42 0
33.59 1
31.63 0
28.98 0
35.75 1
23.28 0
30.92 0
28.08 0
30.89 0
30.41 0
24.26 0
29.03 0
28.73 0
28.75 0
28.32 0
21.65 0
20.33 0
30.7 0
27.19 0
27.88 0
32.86 1
27.72 0
27.72 0
31.93 0
37.16 1
40.52 1
38.69 1
26.01 0
30.95 0
19.67 0
21.71 0
36.31 1
25.08 0
37.91 1
21.85 0
18.38 0
27.01 0
25.62 0
29.63 0
24.49 0
22.45 0
27.35 0
27.17 0
28.49 0
29.26 0
20.93 0
15.5 0
34.45 1
31.09 0
28.35 0
32.67 1
30.85 0
31.74 0
28.52 0
30.45 0
31.88 0
20.98 0
34.72 1
17.27 0
21.05 0
30.89 0
30.21 0
39.66 1
18.15 0
35.64 1
27.14 0
40.76 1
31.94 0
32.1 1
32.29 1
32.21 1
16.9 0
31.6 0
23.21 0
30.52 0
24.59 0
29.32 0
22.78 0
20.32 0
37.82 1
25.74 0
25.17 0
17.87 0
39.44 1
18.62 0
33.72 1
26.7 0
14.49 0
32.81 1
26.28 0
29.67 0
32.37 1
32.16 1
21.54 0
36.6 1
36.74 1
21.88 0
20.02 0
13.78 0
37.42 1
33.24 1
28.58 0
33.05 1
23.04 0
21.66 0
22.74 0
20.6 0
24.52 0
28.17 0
28.22 0
34.12 1
29.47 0
22.76 0
28.55 0
31.95 0
38.18 1
27.91 0
28.34 0
29.6 0
31.07 0
31.92 0
29.8 0
33.63 1
35.56 1
30.15 0
33.21 1
28.51 0
34.24 1
28.99 0
23 0
33.91 1
36.57 1
21.1 0
21.67 0
38.08 1
22.3 0
24.47 0
31.82 0
27.69 0
31.57 0
32.44 1
32.35 1
27.68 0
25.03 0
36.37 1
29.05 0
16.97 0
17.11 0
23.7 0
29.26 0
28.37 0
36.65 1
32.17 1
31.6 0
28.16 0
28.84 0
32.43 1
25.53 0
15.41 0
28.69 0
24.43 0
24.09 0
18.09 0
30.19 0
33.74 1
28.19 0
21.2 0
26.41 0
25.41 0
21.14 0
18.53 0
19.11 0
32.64 1
23.03 0
31.08 0
27.39 0
26.03 0
34.96 1
27.25 0
38.29 1
14.72 0
27.05 0
21.6 0
24.49 0
28 0
31.91 0
24.41 0
30.66 0
21.68 0
27.68 0
23.76 0
22.39 0
29.1 0
32.32 1
20.45 0
28.09 0
29.66 0
22.06 0
26.31 0
33.96 1
37.16 1
37.11 1
34.75 1
22.95 0
23.86 0
33.93 1
35.27 1
39.95 1
32.99 1
19.62 0
30.74 0
28.45 0
22.58 0
19.43 0
36.26 1
27.31 0
24.49 0
29.19 0
25.17 0
32.51 1
26.7 0
22.68 0
28.37 0
25.94 0
22.8 0
19.81 0
27.9 0
32.11 1
33.12 1
33.18 1
34.44 1
22.73 0
31.73 0
22.58 0
29.77 0
31.16 0
26.07 0
28.78 0
34.36 1
31.29 0
32.65 1
32.09 1
23.38 0
27.37 0
23.54 0
22.28 0
22.18 0
32.76 1
24.91 0
29.11 0
34.8 1
27.01 0
16.17 0
19.21 0
31.83 0
26.34 0
28.48 0
17.82 0
32.44 1
38.65 1
33.19 1
28.63 0
30.11 0
35.22 1
28.62 0
31.17 0
19.84 0
18.29 0
25.14 0
14.63 0
33.73 1
34.47 1
38.04 1
23.22 0
30.27 0
29.12 0
28.08 0
21.98 0
33.12 1
27.99 0
27.87 0
28.92 0
21.38 0
21.7 0
41.42 1
16.14 0
20.36 0
17.78 0
15.19 0
21.84 0
33.3 1
34.6 1
21.7 0
31.22 0
33.65 1
35.63 1
33.37 1
28.83 0
15.82 0
24.43 0
31.26 0
35.89 1
24.63 0
28.29 0
30.92 0
36.04 1
18.33 0
34.32 1
26.09 0
19.48 0
24.8 0
28.93 0
28.42 0
30.55 0
26.55 0
30.84 0
22.96 0
21.61 0
32.92 1
19.2 0
32.79 1
31.7 0
30.33 0
21.28 0
28.56 0
34.86 1
30.39 0
26.62 0
29.24 0
30.19 0
29.85 0
25.99 0
29.9 0
26.96 0
25.32 0
32.96 1
27.65 0
17.02 0
28.59 0
20.32 0
32.22 1
28.73 0
26.92 0
31.7 0
20.03 0
28.97 0
37.59 1
30.55 0
31.34 0
28.64 0
25.02 0
26.02 0
25.81 0
37.57 1
27.14 0
35.95 1
39.86 1
25.6 0
31.18 0
34 1
36.98 1
38.88 1
26.39 0
31.25 0
31.79 0
21.27 0
32.76 1
29.05 0
15.7 0
31.93 0
27.65 0
27.64 0
28.2 0
23.82 0
24.84 0
24.97 0
23.04 0
34.76 1
23.8 0
24.52 0
32.04 1
30.29 0
30 0
18.73 0
31.17 0
33.42 1
30.47 0
19.41 0
26.9 0
24.63 0
31.3 0
28.88 0
39.64 1
27.28 0
25.05 0
24.74 0
36.61 1
24.59 0
22.33 0
19.56 0
26.81 0
27.92 0
25.24 0
32.38 1
29.01 0
20.36 0
38.43 1
15.98 0
32.25 1
30.59 0
26.21 0
18.25 0
32.05 1
24.68 0
20.3 0
33.65 1
26.87 0
25.73 0
21.93 0
30.16 0
28.37 0
33.54 1
24.5 0
14.38 0
30.22 0
25.67 0
23.27 0
30.05 0
23.61 0
14.29 0
27.76 0
31.85 0
23.84 0
31.16 0
26.11 0
24.19 0
19.71 0
22.92 0
26.4 0
22.89 0
30.1 0
32.31 1
19.42 0
22.26 0
27.18 0
21.79 0
36.3 1
30.39 0
33.47 1
20.9 0
35.02 1
29.8 0
20.29 0
29.95 0
39.04 1
15.69 0
34.69 1
29.87 0
27.33 0
17.6 0
35.53 1
35.37 1
39.53 1
40.4 1
34.6 1
28.1 0
23.88 0
39.56 1
31.09 0
28.17 0
37.96 1
35.55 1
25.28 0
24.8 0
36.07 1
28.19 0
28.64 0
35.13 1
25.44 0
16.19 0
37.25 1
21.96 0
26.77 0
29.8 0
41.59 1
45.33 1
27.8 0
30.12 0
28.38 0
24.98 0
36.55 1
33.22 1
26 0
33.55 1
19.75 0
24.14 0
24.83 0
23.46 0
29.11 0
19.63 0
20.93 0
23.99 0
19.63 0
23.18 0
27.88 0
16.71 0
16.65 0
32.64 1
35.27 1
20.06 0
29.05 0
21.68 0
37.07 1
17.5 0
30.59 0
41.12 1
25.1 0
38.66 1
37.32 1
23.71 0
34.67 1
28.29 0
26.33 0
25.47 0
17.42 0
33.17 1
30.93 0
24 0
32.55 1
36.17 1
34.04 1
36.53 1
38.9 1
30.62 0
19.32 0
37.04 1
32.55 1
29.71 0
26.6 0
31.97 0
33.12 1
24.79 0
34.25 1
33.8 1
28.2 0
25.76 0
26.65 0
30.87 0
33.52 1
22.74 0
27.11 0
25.99 0
30.85 0
30.95 0
26.6 0
26.94 0
30.75 0
33.79 1
24.34 0
35.69 1
31.45 0
35.66 1
34.86 1
36.28 1
36.49 1
15.93 0
21.93 0
31.36 0
29.75 0
32.3 1
34.08 1
36.81 1
24.95 0
32.28 1
25.33 0
26.49 0
32.17 1
31.57 0
24.87 0
25.5 0
25.78 0
30.25 0
34.55 1
34.7 1
18.52 0
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31.72 0
32.59 1
29.78 0
15.3 0
35.85 1
18.56 0
26.1 0
25.05 0
22.69 0
31.72 0
25.02 0
17.38 0
18.09 0
24.5 0
17.98 0
26.8 0
31.61 0
33.55 1
34.59 1
28.6 0
31.77 0
27.44 0
28.15 0
22.27 0
22.81 0
27.83 0
29.09 0
25.46 0
23.36 0
29.08 0
32.83 1
27.24 0
25.4 0
33.09 1
30.06 0
21.91 0
14.55 0
22.38 0
31.7 0
30.54 0
30.06 0
30.29 0
18.42 0
36.61 1
26.48 0
23.58 0
28.16 0
23.25 0
29.32 0
19.85 0
33.91 1
21.78 0
35.06 1
33.4 1
25.46 0
22.44 0
27.68 0
39.26 1
33.01 1
25.98 0
15.69 0
39.22 1
28.51 0
25.62 0
36.26 1
28.61 0
32.44 1
18.55 0
28.6 0
25.42 0
31.64 0
20.07 0
33.56 1
27.6 0
29.87 0
24.13 0
33.77 1
27.02 0
33.64 1
37.79 1
30.35 0
29.74 0
39.62 1
26.97 0
36.38 1
27.12 0
28.47 0
25.67 0
28.02 0
19.11 0
26.72 0
15.8 0
35.28 1
26.2 0
36.23 1
24.98 0
34.79 1
21.65 0
33.53 1
34.2 1
24.59 0
25.79 0
31.12 0
27.37 0
20.15 0
18.34 0
22.29 0
27.66 0
17.41 0
28.52 0
37.78 1
34.12 1
22.95 0
28.55 0
21.76 0
18.47 0
29.64 0
24.45 0
33.18 1
29.52 0
26.02 0
27.89 0
26.66 0
31.18 0
34.29 1
18.94 0
23.26 0
27.16 0
24.25 0
34.31 1
32.49 1
18.99 0
32.07 1
27.99 0
27.19 0
25.18 0
29.22 0
28.9 0
27.29 0
35.18 1
33.15 1
30.13 0
22.4 0
26.11 0
37.18 1
32.94 1
30.34 0
29.34 0
27.47 0
30.24 0
15.28 0
23.57 0
17.35 0
20.36 0
37.17 1
32.61 1
28.13 0
31.19 0
28.03 0
32.15 1
35.91 1
42.56 1
21.79 0
24.51 0
27.81 0
30.11 0
32.42 1
17.47 0
30.97 0
31.68 0
27.21 0
22.88 0
33.76 1
31.57 0
37.44 1
30.52 0
36.2 1
12.93 0
23.18 0
23.98 0
16.12 0
25.5 0
28.62 0
37.88 1
38.39 1
29.77 0
34.14 1
30.76 0
22.28 0
21.14 0
30.25 0
23.67 0
35.81 1
28.87 0
23.11 0
22.55 0
18.41 0
38.17 1
25.43 0
28.34 0
26.01 0
41.93 1
29.76 0
29.25 0
28.77 0
34.06 1
35.58 1
29.47 0
25.77 0
21.45 0
18.36 0
18.12 0
35.9 1
21.77 0
33.77 1
35.25 1
31.35 0
22.33 0
28.48 0
28.5 0
41.89 1
30.67 0
25.99 0
32.61 1
28.26 0
25.13 0
30.76 0
32.44 1
23.84 0
27.56 0
21.47 0
26.42 0
23.84 0
30.02 0
21.38 0
30.9 0
19.04 0
31.61 0
14.77 0
29.43 0
25.35 0
32.55 1
26.96 0
22.31 0
28.98 0
21.56 0
19.69 0
30.24 0
28.88 0
27.33 0
23.01 0
29.35 0
29.64 0
25.19 0
20.93 0
37.36 1
28.21 0
20.08 0
39.54 1
27.98 0
21.69 0
20.21 0
36.04 1
34.64 1
34.6 1
12.21 0
19.31 0
31.49 0
28.04 0
29.26 0
23.23 0
23.44 0
28.58 0
34.77 1
26.25 0
25.76 0
30.14 0
25.87 0
21.85 0
33.99 1
31.72 0
34.17 1
24.36 0
19.47 0
25.39 0
28.44 0
30.34 0
33.5 1
29.27 0
27.61 0
24.07 0
38.1 1
26.08 0
26.18 0
28.18 0
35.04 1
22.01 0
33.01 1
27.17 0
12.46 0
19.57 0
36.03 1
30.07 0
29.89 0
20 0
29.58 0
35.2 1
26.13 0
30.87 0
16.61 0
21.53 0
26.38 0
29.26 0
33.92 1
33.17 1
23.09 0
35.89 1
29.37 0
35.68 1
33.54 1
29.66 0
44.13 1
19.92 0
29.74 0
32.64 1
27.96 0
35.01 1
27.61 0
20.45 0
24.88 0
19.38 0
35.86 1
19.72 0
27.32 0
33.91 1
23.28 0
24.33 0
32.23 1
36.43 1
29.46 0
30.12 0
33.15 1
28.48 0
34.88 1
26.15 0
20.51 0
19.26 0
18.88 0
33.06 1
22.81 0
26.64 0
29.29 0
21.13 0
24.33 0
32.34 1
22.67 0
39.26 1
23.97 0
19.47 0
24.43 0
17.18 0
29.58 0
21.35 0
27.79 0
23.87 0
34.57 1
31.39 0
22.73 0
35.97 1
35.81 1
30.41 0
24.72 0
20.43 0
25.29 0
20.47 0
43.52 1
27.04 0
32.51 1
27.98 0
29.13 0
29.68 0
36.85 1
31.45 0
23.47 0
30.72 0
31.15 0
38.57 1
37.73 1
24.69 0
22.13 0
19.62 0
33.12 1
26.15 0
32.09 1
Explanation / Answer
Using MINITAB Software
MTB > Mean 'Population'. Mean of Population ; Mean of Population = 27.9509
MTB > StDev 'Population'. Standard Deviation of Population; Standard deviation of Population = 6.06656
MTB > Code (0:31.9999) 0 (32.0000:1000) 1 'Population' 'Pop_Coded'
MTB > Mean 'Population'.
MTB > Sum 'Pop_Coded'.
Sum of Pop_Coded
Sum of Pop_Coded = 778
MTB > let Population proportion = 778/3000 = 0.259333
MTB > Sample 100 'Pop_Coded' 'Sample1';
SUBC> Replace.
MTB > Sample 100 'Pop_Coded' 'Sample2';
SUBC> Replace.
MTB > Sample 100 'Pop_Coded' 'Sample3';
SUBC> Replace.
MTB > Sample 100 'Pop_Coded' 'Sample4';
SUBC> Replace.
MTB > Sample 100 'Pop_Coded' 'Sample5';
SUBC> Replace.
MTB > Sample 100 'Pop_Coded' 'Sample6';
SUBC> Replace.
MTB > Sample 100 'Pop_Coded' 'Sample7';
SUBC> Replace.
MTB > Sample 100 'Pop_Coded' 'Sample8';
SUBC> Replace.
MTB > Sample 100 'Pop_Coded' 'Sample9';
SUBC> Replace.
MTB > Sample 100 'Pop_Coded' 'Sample10';
SUBC> Replace.
MTB > Sample 100 'Pop_Coded' 'Sample11';
SUBC> Replace.
MTB > Sample 100 'Pop_Coded' 'Sample12';
SUBC> Replace.
MTB > Sample 100 'Pop_Coded' 'Sample13';
SUBC> Replace.
MTB > Sample 100 'Pop_Coded' 'Sample14';
SUBC> Replace.
MTB > Sample 100 'Pop_Coded' 'Sample15';
SUBC> Replace.
MTB > Sample 100 'Pop_Coded' 'Sample16';
SUBC> Replace.
MTB > Sample 100 'Pop_Coded' 'Sample17';
SUBC> Replace.
MTB > Sample 100 'Pop_Coded' 'Sample18';
SUBC> Replace.
MTB > Sample 100 'Pop_Coded' 'Sample19';
SUBC> Replace.
MTB > Sample 100 'Pop_Coded' 'Sample20';
SUBC> Replace.
Population Proportion is 0.259333
95% Confidence Interval of population proportion
CI for One Proportion: Pop_Coded 95% CI
(0.243725, 0.275413)
95% CI for sample data
95% CI Sample1 (0.134944, 0.302915)
95% CI Sample2 (0.160225, 0.335735)
95% CI Sample3 (0.221289, 0.410315)
95% CI Sample4 (0.177394, 0.357312)
95% CI Sample5 (0.177394, 0.357312)
95% CI Sample6 (0.186066, 0.368016)
95% CI Sample7 (0.221289, 0.410315)
95% CI Sample8 (0.134944, 0.302915)
95% CI Sample9 (0.239199, 0.431173)
95% CI Sample10 (0.177394, 0.357312)
95% CI Sample11 (0.203574, 0.389266)
95% CI Sample12 (0.143304, 0.313920)
95% CI Sample13 (0.143304, 0.313920)
95% CI Sample14 (0.194794, 0.378667)
95% CI Sample15 (0.151732, 0.324859)
95% CI Sample16 (0.186066, 0.368016)
95% CI Sample17 (0.134944, 0.302915)
95% CI Sample18 (0.160225, 0.335735)
95% CI Sample19 (0.094310, 0.246788)
95% CI Sample20 (0.151732, 0.324859)
out off 20 CI no one belongs to population CI. Since either lower or upper limit goes outside the population CI.
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