100 samples were obtained from a normal population with means ? = 50 and variance ? = 4. For each sample complete the data in the table, construct the respective interval of confidence and identify if the value of the population mean is contained in said interval. (image) The table is much longer, but you don't have to do it all. With the procedure or code of some examples it is enough to guide me with the whole table. Thanks

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
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100 samples were obtained from a normal population with means ? = 50 and variance ? = 4. For each sample complete the data in the table, construct the respective interval of confidence and identify if the value of the population mean is contained in said interval. (image)

The table is much longer, but you don't have to do it all. With the procedure or code of some examples it is enough to guide me with the whole table.

Thanks

 

Sample
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
X1
40
53
57
44
48
58
51
50
59
52
51
52
47
52
54
51
X2
55
55
48
50
59
41
46
47
54
44
45
48
50
54
44
43
X3
45
50
46
55
51
46
51
51
49
46
53
58
53
50
51
49
X4
53
53
50
47
49
56
40
52
49
57
54
57
58
49
43
51
X5
41
51
46
44
51
46
49
51
49
43
46
56
47
53
46
46
X6
50
43
48
44
47
55
47
51
41
46
48
44
44
43
52
49
X7
54
54
53
47
47
49
48
60
56
50
49
52
48
53
53
48
X8
60
53
51
59
45
50
60
53
46
50
46
50
47
59
58
46
X9
56
50
47
53
55
51
46
48
56
47
41
49
48
49
47
48
sample mean
lower limit Upper Limit
contains mu? y/n
Transcribed Image Text:Sample 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 X1 40 53 57 44 48 58 51 50 59 52 51 52 47 52 54 51 X2 55 55 48 50 59 41 46 47 54 44 45 48 50 54 44 43 X3 45 50 46 55 51 46 51 51 49 46 53 58 53 50 51 49 X4 53 53 50 47 49 56 40 52 49 57 54 57 58 49 43 51 X5 41 51 46 44 51 46 49 51 49 43 46 56 47 53 46 46 X6 50 43 48 44 47 55 47 51 41 46 48 44 44 43 52 49 X7 54 54 53 47 47 49 48 60 56 50 49 52 48 53 53 48 X8 60 53 51 59 45 50 60 53 46 50 46 50 47 59 58 46 X9 56 50 47 53 55 51 46 48 56 47 41 49 48 49 47 48 sample mean lower limit Upper Limit contains mu? y/n
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Follow-up Question

Hello! the exercise worked perfectly for me but I have to write it in R Studio. I already did everything except for the end where you have to check if the mu is contained

Any idea or way to translate that function into R code?

more specifically:
=IF(AND(L2>50,M2>50),"n",IF(AND(L2<50,M2<50),"n","y"))
 
where L2 are the lower level and M2 the upper limit. 
Solution
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