Answered: Listed below are actual high…

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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Actual high temperature	73	78	76	73	79	73	81	76
High temperature forecast one day before	71	76	76	73	77	76	83	79

Part 2

What is the test statistic?

T=enter your response here

(Type an integer or a decimal.)

Part 3

Identify the critical value.

The critical value is

enter your response here.

Part 4

What is the conclusion?

There

▼

is not

enough evidence to warrant rejection of the claim that the population of differences

▼

does not have

has

a median of zero. Based on the sample data, it appears that the predictions

▼

are not

are

reasonably accurate

Listed below are actual high temperatures and the high temperatures forecast one day in advance. Use a 0.10 significance level to test the claim that the population of differences has a median of zero. What do the results suggest about the accuracy of the predictions?
Actual high temperature
73 78 76 73 79
73 79 73 81
73 81 760
High temperature forecast one day before 71 76 76 73 77 76 83 79
Click the icon to view the critical values for the Wilcoxon signed-ranks test.
What are the hypotheses for this test?
Ho: The median of the differences
H₁: The median of the differences
What is the test statistic?
T = (Type an integer or a decimal.)
Identify the critical value.
The critical value is
What is the conclusion?
There
▼zero.
zero.
enough evidence to warrant rejection of the claim that the population of differences
~
▼a median of zero. Based on the sample data, it appears that the predictions
▼reasonably accurate.
Data table
n
2567
8
9
10
123456789 20122324 25 26 27 28 29 20
11
30
α
Critical Values of T for the Wilcoxon Signed-Ranks Test
0.025 (one tail)
0.05 (two tails)
*
0.005 (one tail) 0.01
0.01 one tail)
0.01 (two tails) | 0.02 (two tails)
0
2
3
5
7
10
13
16
19
23
28
32
37
43
49
55
61
68
76
84
92
100
109
u235703620 24 28 23 28349 62 9 7 85 3 100 11 小
10
13
16
33
56
69
77
93
120
1
2
Print
4
6
8
11
14
17
21
25
30
35
40
46
52
59
66
73
81
90
98
107
117
127
137
* It is not possible to get a value in the critical region.
Done
0.05 (one tail)
0.10 (two tails)
1
2
4
6
8
11
14
471 26 30 26 174 60 87532100 10 120 13014 12
21
36
54
68
92

Definition Definition Middle value of a data set. The median divides a data set into two halves, and it also called the 50th percentile. The median is much less affected by outliers and skewed data than the mean. If the number of elements in a dataset is odd, then the middlemost element of the data arranged in ascending or descending order is the median. If the number of elements in the dataset is even, the average of the two central elements of the arranged data is the median of the set. For example, if a dataset has five items—12, 13, 21, 27, 31—the median is the third item in ascending order, or 21. If a dataset has six items—12, 13, 21, 27, 31, 33—the median is the average of the third (21) and fourth (27) items. It is calculated as follows: (21 + 27) / 2 = 24.

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