What's the hypotheses for t-test?T-statistics?Critical values? The rejection region if test statistic falls in the rejection area and if to reject H0. Cooling down with a cold drink before exercise in the heat is believed to help an athlete perform. A researcher explored the difference between cooling down with an ice slurry (slushy) and with cold water. Ten male participants drank a flavoredice slurry and ran on a treadmill in a controlled hot and humid environment. Days later, the same participants drank cold water and ran on a treadmill in the same hot and humid environment. The table available below shows the times, inminutes, it took to fatique on the treadmill for both the ice slurry and the cold water. Preliminary data analyses indicate that use of a paired t-test is reasonable. At the 1% significance level, do the data provide sufficient evidence to concludethat, on average, cold water is less effective than ice slurry for optimizing athletic performance in the heat? Use the critical-value approach. (Note: The mean and standard deviation of the paired differences are - 4.8 minutes and 2.15minutes, respectively.)Click here to view the data. Click here to view a table of critical values of t. Let population 1 be the times to fatigue for cold water and let population 2 be the times to fatigue for ice slurry.Time to FatigueTSubjectCold WaterIce Slurry O4853283241474414927306.3844736388.455392730103235PrintDone df10.10t0.02510.0110.005df3.0786.31412.70631.8216.96563.6572.9202.3532.1.8864.3033.1829.92531.6384.5415.8411.5332.1322.7763.7474.6041.4762.0151.9431.8951.8601.8332.5712.4473.3653.1432.9982.8964.0323.70756.1.4406.71.4151.3972.3652.3063.4993.35578.89.1.3832.2622.8213.2509.101.3721.8122.2282.7643.1693.1063.05510111.3631.7962.2012.718111.3561.7822.1792.1602.145122.68112131.3501.3451.7711.7612.6502.6243.01213142.9771415161.3411.3371.7532.1312.6022.5832.5672.5522.5392.9472.92115161.7462.120171.3331.7402.1102.89817181.3302.8781.7341.7292.10118191.3282.0932.86119201.3251.7252.0862.5282.84520211.3231.7211.7172.0802.5182.8312.81921221.3212.0742.50822231.3191.7142.0692.5002.80723241.3181.7112.0642.4922.79724251.3161.7082.0602.4852.78725261.3151.7062.0562.4792.4732.4672.4622.7792627271.3142.0521.7031.7012.771282928291.3132.0482.7631.3111.6992.0452.756301.6972.0422.0402.0372.0351.3102.4572.75030311.3091.6962.4532.7443132331.3091.6942.4492.7382.7332,72832331.3081.6922.445341.3071.6912.0322.44134351.3061.6902.0302.4382.7242.7192.71535361.3061.6882.0282.43436371.3051.6872.0262.43137381.3041.6861.6852.0242.0232.4292.7122.70838391.3042.42639401.3031.6842.0212.4232.70440411.3032.0201.6831.6821.6812.4212.701411.3021.302422.0182.4182.69842432.0172.0152.4162.6952.69243441.3011.6802.414442.0142.013452.4122.4102.6902.6871.3011.6791.67945461.30046471.3001.6782.0122.4082.68547481.2991.6772.0112.4072.68248491.2991.6772.010 2.4052.68049df1o.10taest0.025t0.005df

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Description: What's the hypotheses for t-test?T-statistics?Critical values? The rejection region if test statistic falls in the rejection area and if to reject H0. Cooling down with a cold drink before exercise in the heat is believed to help an athlete perform.

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e slurry and ran on a treadmill in a controlled hot and humid environment. Days later, the same participants drank cold water and ran on a treadmill in the same hot and humid environment. The table available below shows the times, r inutes, it took to fatigue on the treadmill for both the ice slurry and the cold water. Preliminary data analyses indicate that use of a paired t-test is reasonable. At the 1% significance level, do the data provide sufficient evidence to concl at, on average, cold water is less effective than ice slurry for optimizing athletic performance in the heat? Use the critical-value approach. (Note: The mean and standard deviation of the paired differences are - 4.8 minutes and 2.15 minutes, respectively.) lick here to view the data, Click here to view a table of critical values oft Let population 1 be the times to fatigue for cold water and let population 2 be the times to fatigue for ice slurry. Time to Fatigue Subject Cold Water Ice Slurry 48 53 32 47 49 30 28 41 4. 41 6. 7 27 38 36 44 38 53 30 35 27 10 32 Print Done

e slurry and ran on a treadmill in a controlled hot and humid environment. Days later, the same participants drank cold water and ran on a treadmill in the same hot and humid environment. The table available below shows the times, r inutes, it took to fatigue on the treadmill for both the ice slurry and the cold water. Preliminary data analyses indicate that use of a paired t-test is reasonable. At the 1% significance level, do the data provide sufficient evidence to concl at, on average, cold water is less effective than ice slurry for optimizing athletic performance in the heat? Use the critical-value approach. (Note: The mean and standard deviation of the paired differences are - 4.8 minutes and 2.15 minutes, respectively.) lick here to view the data, Click here to view a table of critical values oft Let population 1 be the times to fatigue for cold water and let population 2 be the times to fatigue for ice slurry. Time to Fatigue Subject Cold Water Ice Slurry 48 53 32 47 49 30 28 41 4. 41 6. 7 27 38 36 44 38 53 30 35 27 10 32 Print Done

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015

1st Edition

ISBN:9781680331141

Author:HOUGHTON MIFFLIN HARCOURT

Publisher:HOUGHTON MIFFLIN HARCOURT

Chapter4: Writing Linear Equations

Section: Chapter Questions

Problem 14CR

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Topic Video

Question

What's the hypotheses for t-test?

T-statistics?

Critical values?

The rejection region if test statistic falls in the rejection area and if to reject H₀.

Cooling down with a cold drink before exercise in the heat is believed to help an athlete perform. A researcher explored the difference between cooling down with an ice slurry (slushy) and with cold water. Ten male participants drank a flavored
ice slurry and ran on a treadmill in a controlled hot and humid environment. Days later, the same participants drank cold water and ran on a treadmill in the same hot and humid environment. The table available below shows the times, in
minutes, it took to fatique on the treadmill for both the ice slurry and the cold water. Preliminary data analyses indicate that use of a paired t-test is reasonable. At the 1% significance level, do the data provide sufficient evidence to conclude
that, on average, cold water is less effective than ice slurry for optimizing athletic performance in the heat? Use the critical-value approach. (Note: The mean and standard deviation of the paired differences are - 4.8 minutes and 2.15
minutes, respectively.)
Click here to view the data. Click here to view a table of critical values of t. Let population 1 be the times to fatigue for cold water and let population 2 be the times to fatigue for ice slurry.
Time to Fatigue
T
Subject
Cold Water
Ice Slurry O
48
53
28
32
41
47
4
41
49
27
30
6.
38
44
7
36
38
8.
45
53
9
27
30
10
32
35
Print
Done

df
10.10
t0.025
10.01
10.005
df
3.078
6.314
12.706
31.821
6.965
63.657
2.920
2.353
2.
1.886
4.303
3.182
9.925
3
1.638
4.541
5.841
1.533
2.132
2.776
3.747
4.604
1.476
2.015
1.943
1.895
1.860
1.833
2.571
2.447
3.365
3.143
2.998
2.896
4.032
3.707
5
6.
1.440
6.
7
1.415
1.397
2.365
2.306
3.499
3.355
7
8.
8
9.
1.383
2.262
2.821
3.250
9.
10
1.372
1.812
2.228
2.764
3.169
3.106
3.055
10
11
1.363
1.796
2.201
2.718
11
1.356
1.782
2.179
2.160
2.145
12
2.681
12
13
1.350
1.345
1.771
1.761
2.650
2.624
3.012
13
14
2.977
14
15
16
1.341
1.337
1.753
2.131
2.602
2.583
2.567
2.552
2.539
2.947
2.921
15
16
1.746
2.120
17
1.333
1.740
2.110
2.898
17
18
1.330
2.878
1.734
1.729
2.101
18
19
1.328
2.093
2.861
19
20
1.325
1.725
2.086
2.528
2.845
20
21
1.323
1.721
1.717
2.080
2.518
2.831
2.819
21
22
1.321
2.074
2.508
22
23
1.319
1.714
2.069
2.500
2.807
23
24
1.318
1.711
2.064
2.492
2.797
24
25
1.316
1.708
2.060
2.485
2.787
25
26
1.315
1.706
2.056
2.479
2.473
2.467
2.462
2.779
26
27
27
1.314
2.052
1.703
1.701
2.771
28
29
28
29
1.313
2.048
2.763
1.311
1.699
2.045
2.756
30
1.697
2.042
2.040
2.037
2.035
1.310
2.457
2.750
30
31
1.309
1.696
2.453
2.744
31
32
33
1.309
1.694
2.449
2.738
2.733
2,728
32
33
1.308
1.692
2.445
34
1.307
1.691
2.032
2.441
34
35
1.306
1.690
2.030
2.438
2.724
2.719
2.715
35
36
1.306
1.688
2.028
2.434
36
37
1.305
1.687
2.026
2.431
37
38
1.304
1.686
1.685
2.024
2.023
2.429
2.712
2.708
38
39
1.304
2.426
39
40
1.303
1.684
2.021
2.423
2.704
40
41
1.303
2.020
1.683
1.682
1.681
2.421
2.701
41
1.302
1.302
42
2.018
2.418
2.698
42
43
2.017
2.015
2.416
2.695
2.692
43
44
1.301
1.680
2.414
44
2.014
2.013
45
2.412
2.410
2.690
2.687
1.301
1.679
1.679
45
46
1.300
46
47
1.300
1.678
2.012
2.408
2.685
47
48
1.299
1.677
2.011
2.407
2.682
48
49
1.299
1.677
2.010 2.405
2.680
49
df
1o.10
taes
t0.025
t0.005
df

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Cooling down with a cold drink before exercise in the heat is believed to help an athlete perform. Researcher J. Dugas explored the difference between cooling down with an ice slurry (slushy) and with cold water. Ten male participants drank a flavored ice slurry and ran a treadmill in a controlled hot and humid environment. Days later, the same participants drank cold water and ran on a treadmill in the same hot and humid environment. The following table shows the times, in minutes, it took to fatigue on the treadmill for both the ice slurry and the cold water. Subject Cold Water 1 52 2 37 3 44 4 51 5 34 6 38 7 41 8 50 9 29 10 38 Ice Slurry 56, 43, 52, 58, 38, 45, 45, 58, 34, 44 find a 98% confidence interval for the differences between the mean times to fatigue on a treadmill in a hot and humid environment after cooling down with cold water and after cooling down with an ice slurry.
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