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
Chapter6: Systems Of Equations And Inequalities
Section: Chapter Questions
Problem 17PS: Cholesterol Cholesterol in human blood is necessary, but too much can lead to health problems. There...
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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.
Transcribed Image Text: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
Transcribed Image Text: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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