Calculate the 90% confidence interval for the variance. Can you Please include 3 digits after the decimal for both the upper and lower bounds to be consistent with the solution that was provided to the system.
Calculate the 90% confidence interval for the variance. Can you Please include 3 digits after the decimal for both the upper and lower bounds to be consistent with the solution that was provided to the system.
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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Calculate the 90% confidence interval for the variance. Can you Please include 3 digits after the decimal for both the upper and lower bounds to be consistent with the solution that was provided to the system.
Transcribed Image Text:Example: Estimating the Variance
Confidence Interval
The following are the weights, in decagrams, of 10 packages of grass seed distributed
by a certain company: 46.4, 46.1, 45.8, 47.0, 46.1, 45.9, 45.8, 46.9, 45.2, and 46.0.
Find a 90l confidence interval for the variance of the weights of all such packages
of grass seed distributed by this company, assuming a normal population
v = 9
a = 0.05
Xa/2 and x²-a/2
xa/z = x0025=? =19.023
%3D
2
x? -
x-a/2 = xổ975=? =2.7
(10)(21, 273.12) – (461.2)²
(10)(9)
%3D
i=1
= 0.286
п(п — 1)
Table A.5 (continued) Critical Values of the Chi-Squared Distribution
a
(9)(0.286)
19.023
(9)(0.286)
2.700
0.30
0.25
0.20
0.10
0.05
0.025
0.02
0.01
0.005
0.001
1
1.074
1.323
1.642
2.706
3.841
5.024
5.412
6.635
7.879
10.827
3.219
7.378
2.408
3.665
4.878
2.773
4.605
6.251
2
5.991
7.824
9.210
10.597
13.815
3
4.108
4.642
7.815
9.348
9.837
11.345
12.838
16.266
5.385
9.488
11.070
13.277
15.086
14.860
16.750
4
5.989
7.779
11.143
11.668
18.466
5
6.064
6.626
7.289
9.236
12.832
13.388
20.515
0.135 < o² < 0.953.
7.231
7.841
22.457
24.321
6
8.558
10.645
12.592
14.449
15.033
16.812
18.548
14.067
15.507
7
8.383
9.037
9.803
12.017
16.013
16.622
18.475
20.278
11.030
12.242
13.442
21.955
23.589
8
9.524
10.656
11.781
10.219
13.362
17.535
18.168
20.090
21.666
23.209
26.124
19.023
20.483
9
11.389
14.684
16.919
19.679
27.877
10
12.549
15.987
18.307
21.161
25.188
29.588
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