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MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question

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. My biggest doubt is how to find the lower and upper intervals, because I have formulated the problem several times but they give me different results. Should a t-distribution or a normal distribution be used? What formula?

the entire table contains 100 samples

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

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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