The test statistic is x = 18.70 The critical value is X3.03,df 12.37 The p-value for the test is p-value =

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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In a simulation project, the time (in minutes) between
arrivals of customers to a post office is to be
modelled. The team collected the arrival data of 200
customers and arranged it to perform a x² goodness-
of-fit test in the table below. They checked the
histogram of the data and thought that the distribution
should be Normal with the estimated mean value
T = 124 min and standard deviation s = 15.50
min.
Calculate and fill the missing entries in the table
(Assume k = 8).
Interval
E₁
-00
X <106.170 25.00
31
106.170 X 112.1 19.31 28
112.1X118.0
26.00
24
30.00 28
30.00
38
26.00 28
19.00
118.CX 124.C
124.C < X < 129.9
129.9 X
135.8
135.8 X
141.830
141.830 X
∞
Oi
The test statistic is X=
<= 18.70
25.00 11
X²
The critical value is X3.03.df 12.37
The p-value for the test is p-value =
1.44
4.26
0.15
2.13
0.15
12 2.58
0.13
7.84
Transcribed Image Text:In a simulation project, the time (in minutes) between arrivals of customers to a post office is to be modelled. The team collected the arrival data of 200 customers and arranged it to perform a x² goodness- of-fit test in the table below. They checked the histogram of the data and thought that the distribution should be Normal with the estimated mean value T = 124 min and standard deviation s = 15.50 min. Calculate and fill the missing entries in the table (Assume k = 8). Interval E₁ -00 X <106.170 25.00 31 106.170 X 112.1 19.31 28 112.1X118.0 26.00 24 30.00 28 30.00 38 26.00 28 19.00 118.CX 124.C 124.C < X < 129.9 129.9 X 135.8 135.8 X 141.830 141.830 X ∞ Oi The test statistic is X= <= 18.70 25.00 11 X² The critical value is X3.03.df 12.37 The p-value for the test is p-value = 1.44 4.26 0.15 2.13 0.15 12 2.58 0.13 7.84
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