What is the test statistic and critical value? Student t-distributiont-DistributionArea in Right TailDegrees ofFreedom0.250.200.150.100.050.0250.020.010.0050.00250.001 0.00051.0000.8160.7650.7410.7271.3761.0610.9780.9410.9201.9631.3861.2501.1901.1563.0781.8861.6381.5331.4766.3142.9202.3532.1322.01512.7064.3033.1822.7762.57115.8944,8493.4822.9992.75731.8216.9654.5413.7473.36563.6579.9255.8414.6044.032127.32 114.0897.4535.5984.773318.309 636.61922.32710.21571735.893131.59912.9248.6106.8693.5.9595.4085.0414.7814.5872.6122.5170.7180.7110.7060.7030.7000.9060.8960.8890.8830.8791.1341.1191.1081.1001.0931.4401.4151.3971.3831.3721.9431.8951.8601.8331.8122.4472.3652.3062.2622.2282.4492.3982.3593.1432.9982.8962.8212.7643.7073.4993.3553.2503.1694.3174.0203.8333.6903.5815.2084.7854.5014.2974.144101.0881.0831.0791.0761.0741.3631.3561.3502.2012.1792.1602.1452.3282.3032.2822.2642.2492.7182.6812.6502.6242.6023.1063.0553.0122.9772.9473.4973.4283.3723.3263.2864,0253.9303.8523.7873.7334,4374.3184.2214.1404.0731.79611121314150.6970.6950.6940.6920.6910.8760.8730.8700.8680.8661.7821.7711.7611.7531.3451.3412.1311.3371.3331.3301.3281.3252.2352.2242.2142.9212.8982.8782.8612.8453.2523.2223.1973.1743.1533.6863.6463.6103.5793.5524.0153.9653.9223.8833.8501.7461.7401.07110691.0672.1202.1102.1012.0932.0862.5832.5672.5522.5392.5280.6900.8650.8630.8620.8610.86016171819200.6890.6880.6880.6871.7341.7291.7251.0661.0642.2052.1972.8312.8192.8073.5273.5053.4853.4673.4503.8193.7923.76837453.7253.1350.8590.8580.8580.8570.85613231.3211.3192.1892.1832.1772.1722.1672.5182.5082.5002.4922.4851.0631.0610.6860.6860.6851.7211.7171.7141.7111.7082.0802.0742.0692.0642.06021222324251.0601.0591.0583.1193.1043.0913.0780.6850.68413181.3162.7972.787262728290.6840.6840.6830.6830.8560.8550.8550.8541.0581.0571.0561.0551.3151.3141.3131.3111.7061.7031.7011.6992.0562.0522.0482.0452.1622.1582.1542.1502.4792.4732.4672.4622.7792.7712.7632.7563.0673.0573.0473.4353.4213.4083.3963.7073.6903.6743.6593.0381.2102012275020m02616PrintDoneClear AllPrtScnHomeF9F4F5F6F7FB& A researcher wanted to determine if carpeted or uncarpeted rooms contain more bacteria. The table shows the results forthe number of bacteria per cubic foot for both types of rooms. A normal probability plot and boxplot indicate that the dataare approximately normally distributed with no outliers. Do carpeted rooms have more bacteria than uncarpeted rooms atthe a= 0.05 level of significance?Full data setCarpetedUncarpeted9.915.29.611.48.414.69.212.99.78.86.64.79.210.76.613.3E Click the icon to view the Student t-distribution table.What are the null and alternative hypotheses?

hypothesis H0 :μcarpeted =μuncarpeted H1 :μcarpeted > μuncarpeted test statistic t…

A researcher wanted to determine if carpeted or uncarpeted rooms contain more bacteria. The table shows the results for the number of bacteria per cubic foot for both types of rooms. A normal probability plot and boxplot indicate that the data are approximately normally distributed with no outliers. Do carpeted rooms have more bacteria than uncarpeted rooms at the a= 0.05 level of significance? Full data set Carpeted Uncarpeted 9.9 15.2 9.6 11.4 8.4 14.6 9.2 12.9 9.7 8.8 6.6 4.7 9.2 10.7 6.6 13.3 E Click the icon to view the Student t-distribution table. What are the null and alternative hypotheses?

A researcher wanted to determine if carpeted or uncarpeted rooms contain more bacteria. The table shows the results for the number of bacteria per cubic foot for both types of rooms. A normal probability plot and boxplot indicate that the data are approximately normally distributed with no outliers. Do carpeted rooms have more bacteria than uncarpeted rooms at the a= 0.05 level of significance? Full data set Carpeted Uncarpeted 9.9 15.2 9.6 11.4 8.4 14.6 9.2 12.9 9.7 8.8 6.6 4.7 9.2 10.7 6.6 13.3 E Click the icon to view the Student t-distribution table. What are the null and alternative hypotheses?

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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Concept explainers

Confidence Intervals

When we calculate intervals in probability and statistics, it can be simply termed as finding out a confidence interval. The confidence interval is usually calculated from the data set which is observed. The value of the parameter that needs to be calculated is present here only.

Question

What is the test statistic and critical value?

Student t-distribution
t-Distribution
Area in Right Tail
Degrees of
Freedom
0.25
0.20
0.15
0.10
0.05
0.025
0.02
0.01
0.005
0.0025
0.001 0.0005
1.000
0.816
0.765
0.741
0.727
1.376
1.061
0.978
0.941
0.920
1.963
1.386
1.250
1.190
1.156
3.078
1.886
1.638
1.533
1.476
6.314
2.920
2.353
2.132
2.015
12.706
4.303
3.182
2.776
2.571
15.894
4,849
3.482
2.999
2.757
31.821
6.965
4.541
3.747
3.365
63.657
9.925
5.841
4.604
4.032
127.32 1
14.089
7.453
5.598
4.773
318.309 636.619
22.327
10.215
7173
5.893
1
31.599
12.924
8.610
6.869
3.
5.959
5.408
5.041
4.781
4.587
2.612
2.517
0.718
0.711
0.706
0.703
0.700
0.906
0.896
0.889
0.883
0.879
1.134
1.119
1.108
1.100
1.093
1.440
1.415
1.397
1.383
1.372
1.943
1.895
1.860
1.833
1.812
2.447
2.365
2.306
2.262
2.228
2.449
2.398
2.359
3.143
2.998
2.896
2.821
2.764
3.707
3.499
3.355
3.250
3.169
4.317
4.020
3.833
3.690
3.581
5.208
4.785
4.501
4.297
4.144
10
1.088
1.083
1.079
1.076
1.074
1.363
1.356
1.350
2.201
2.179
2.160
2.145
2.328
2.303
2.282
2.264
2.249
2.718
2.681
2.650
2.624
2.602
3.106
3.055
3.012
2.977
2.947
3.497
3.428
3.372
3.326
3.286
4,025
3.930
3.852
3.787
3.733
4,437
4.318
4.221
4.140
4.073
1.796
11
12
13
14
15
0.697
0.695
0.694
0.692
0.691
0.876
0.873
0.870
0.868
0.866
1.782
1.771
1.761
1.753
1.345
1.341
2.131
1.337
1.333
1.330
1.328
1.325
2.235
2.224
2.214
2.921
2.898
2.878
2.861
2.845
3.252
3.222
3.197
3.174
3.153
3.686
3.646
3.610
3.579
3.552
4.015
3.965
3.922
3.883
3.850
1.746
1.740
1.071
1069
1.067
2.120
2.110
2.101
2.093
2.086
2.583
2.567
2.552
2.539
2.528
0.690
0.865
0.863
0.862
0.861
0.860
16
17
18
19
20
0.689
0.688
0.688
0.687
1.734
1.729
1.725
1.066
1.064
2.205
2.197
2.831
2.819
2.807
3.527
3.505
3.485
3.467
3.450
3.819
3.792
3.768
3745
3.725
3.135
0.859
0.858
0.858
0.857
0.856
1323
1.321
1.319
2.189
2.183
2.177
2.172
2.167
2.518
2.508
2.500
2.492
2.485
1.063
1.061
0.686
0.686
0.685
1.721
1.717
1.714
1.711
1.708
2.080
2.074
2.069
2.064
2.060
21
22
23
24
25
1.060
1.059
1.058
3.119
3.104
3.091
3.078
0.685
0.684
1318
1.316
2.797
2.787
26
27
28
29
0.684
0.684
0.683
0.683
0.856
0.855
0.855
0.854
1.058
1.057
1.056
1.055
1.315
1.314
1.313
1.311
1.706
1.703
1.701
1.699
2.056
2.052
2.048
2.045
2.162
2.158
2.154
2.150
2.479
2.473
2.467
2.462
2.779
2.771
2.763
2.756
3.067
3.057
3.047
3.435
3.421
3.408
3.396
3.707
3.690
3.674
3.659
3.038
1.210
2012
2750
20m0
2616
Print
Done
Clear All
PrtScn
Home
F9
F4
F5
F6
F7
FB
&

A researcher wanted to determine if carpeted or uncarpeted rooms contain more bacteria. The table shows the results for
the number of bacteria per cubic foot for both types of rooms. A normal probability plot and boxplot indicate that the data
are approximately normally distributed with no outliers. Do carpeted rooms have more bacteria than uncarpeted rooms at
the a= 0.05 level of significance?
Full data set
Carpeted
Uncarpeted
9.9
15.2
9.6
11.4
8.4
14.6
9.2
12.9
9.7
8.8
6.6
4.7
9.2
10.7
6.6
13.3
E Click the icon to view the Student t-distribution table.
What are the null and alternative hypotheses?

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