Construct a 90% confidence interval to estimate the population mean using the data below. What assumptions need to be made about this population? X̄=37 s=9.1 n=25 **Round to two decimal places as needed.**
Construct a 90% confidence interval to estimate the population mean using the data below. What assumptions need to be made about this population? X̄=37 s=9.1 n=25 **Round to two decimal places as needed.**
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
Construct a 90% confidence interval to estimate the population mean using the data below. What assumptions need to be made about this population?
X̄=37
s=9.1
n=25
**Round to two decimal places as needed.**
Transcribed Image Text:Construct a 90% confidence interval to estimate the population mean using the data below. What assumptions need to be made about this population?
x- 37
s= 9.1
Click here to view page 1 of the critical t-score table.
Click here to view page 2 of the critical t-score table.
n= 25
Critical t-scores (page 2)
The 90% confidence interval for the population mean is from a lower limit of to an upper limit of
(Round to two decimal places as needed.)
Probabilities under the t-distribution Curve
What assumptions need to be made about this population?
1 Tall
2 Tall
0.200
0,100
0.050
0,025
0.010
0.005
0400
0.200
0.100
0.050
0.020
0.010
O A. The population follows the normal probability distribution.
Conf Lev
0.600
0.800
0.900
0.950
0.980
0.990
df
O B. The population size is larger than 30.
51
0,849
1.298
1.675
2.008
2.402
2.676
O C. The population distribution is skewed to one side.
52
0.849
1.298
1.675
2.007
2400
2.674
53
0,848
1.298
1.674
2.006
2.399
2.672
O D. The population follows the Student's t-distribution.
54
0.848
1.297
1.674
2.005
2.397
2.670
55
0.848
1.297
1.673
2.004
2.396
2.668
56
0.848
1.297
1.673
2.003
2.395
2.667
57
0,848
1.297
1.672
2002
2.394
2.665
58
0.848
1.296
1.672
2.002
2.392
2.663
59
0.848
1.296
1.671
2.001
2.391
2.662
60
0.848
1.296
1.671
2.000
2.390
2.660
61
0.848
1.296
1.670
2.000
2389
2.659
62
0.847
1.295
1.670
1.999
2388
2.657
63
0.847
1.295
1.669
1.998
2387
2.656
64
0.847
1.295
1.669
1.998
2386
2.655
65
0.847
1.295
1,669
1.997
2385
2654
66
0.847
1.295
1.668
1.997
2384
2.662
67
0.847
1.294
1.668
1.996
2.383
2.651
68
0.847
1.294
1.668
1.995
2382
2650
69
0.847
1.294
1.667
1.995
2.382
2.649
70
0.847
1,294
1.667
1.994
2.381
2.648
71
0.847
1.294
1.667
1.994
2380
2.647
72
0.847
1.293
1.666
1.993
2.379
2.646
73
0.847
1.293
1.666
1.993
2.379
2.645
74
0.847
1.293
1.666
1.993
2.378
2.644
75
0.846
1.293
1.665
1.992
2.377
2.643
Transcribed Image Text:Construct a 90% confidence interval to estimate the population mean using the data below. What assumptions need to be made about this population?
x= 37
Click here to view page 1 of the critical t-score table
Click here to view page 2 of the critical t-score table.
s=9.1
n= 25
Critical t-scores (page 1) k
The 90% confidence interval for the population mean is from a lower limit of to an upper limit of
(Round to two decimal places as needed.)
Probabilities under the t-distribution Curve
What assumptions need to be made about this population?
O A. The population follows the normal probability distribution.
0.00
O B. The population size is larger than 30.
0.05.
0.05
O C. The population distribution is skewed to one side
O D. The population follows the Student's t-distribution.
a=-1,796
2=1.796
0.010
1 Tall
2 Tall
0.200
0.100
0.050
0.025
0.005
0.400
0.200
0.100
0.050
0.020
0.010
Conf Lev
0.600
0.800
0.900
0.950
0.980
0.990
df
1.376
3.078
6.314
12.706
31.821
63.657
1.061
1.886
2.920
4.303
6.965
9.925
3.
0.978
1.638
2.353
3.182
4.541
5.841
4
0.941
1.533
2.132
2.776
3.747
4.604
0.920
1.476
2.015
2571
3.365
4.032
6.
0.906
1.440
1.943
2.447
3.143
3.707
0.896
1.415
1.895
2.365
2.998
3.499
8.
0.889
1.397
1.860
2.306
2.896
3.355
0.883
1.383
1.833
2.262
2.821
3.250
10
0.879
1.372
1.812
2.228
2.764
3.169
11
0.876
1.363
1.796
2.201
2.718
3.106
0.873
1.356
1.782
2.179
2.681
3.055
12
13
0.870
1.350
1.771
2.160
2.650
3.012
0.868
1.345
1.761
2.145
2.624
2.977
14
0.866
1.341
1.753
2.131
2.602
2.947
15
0.865
1.746
2.120
2583
2.921
16
1.337
0.863
1.333
1.740
2.110
2567
2.898
17
18
0.862
1.330
1.734
2.101
2552
2878
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