INTRODUCTION TO STATISTICS & DATA ANALYS
6th Edition
ISBN: 9780357420447
Author: PECK
Publisher: CENGAGE L
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Chapter 16.3, Problem 21E
The given data on phosphorus concentration in topsoil for four different soil treatments appeared in the article “Fertilisers for Lotus and Clover Establishments on a Sequence of Acid Soils on the East Otago Uplands” (New Zealand Journal of Experimental Agriculture [1984]: 119–129).
Use the KW test and a 0.01 significance level to test the null hypothesis of no difference in true
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On snow-covered roads, winter tires enable a car to stop in a shorter distance than if summer tires were installed. In terms of the additive model for one-way ANOVA, and for an experiment in which the mean stopping distances on a snow-covered road are measured for each of four brands of winter tires. If the data are as shown in Sheet 48, what conclusion would be reached at the 0.01 level of significance?
Shett 48
Supplier A
517
484
463
452
502
447
481
500
485
566
Supplier B
479
499
488
430
482
457
424
488
526
455
Supplier C
435
443
480
465
435
430
465
514
463
510
Supplier D
526
537
443
505
468
533
481
477
490
470
Select one:
a) p-value = 0.28 greater than 0.05, the average distance is different for at list two tires
b) F stat = 1.86, F crit = 4.38, not enough evidence to claim that the average distance is different for at list two tires
c) F ratio = 4.38, not enough evidence to claim that the average distance is different for at list two tires
d) F stat = 0.68, F…
In analyzing the consumption of cottage cheese by members of various occupational groups, the United Dairy Industry Association found that 326 of 837 professionals seldom or never ate cottage cheese, versus 220 of 489 white-collar workers and 522 of 1243 blue-collar workers (Sheet 53). Assuming independent samples, use the 0.03 level in testing the null hypothesis that the population proportions could be the same for the three occupational groups.
Sheet 53
Group 1
Group 2
Group 3
Total
seldom or never
326
220
522
1068
often
511
269
721
1501
Total
837
489
1243
2569
Select one:
a) chi-square stat = 4.81, crit. value = 7.01, fail to reject H0, population proportions are not different
b) p-value = 0.09, reject H0, population proportions are not different
c) chi-square stat = 4.81, crit. value = 9.2, fail to reject H0, population proportions are not different
d) p-value = 0.029, reject H0, population proportions different
A Canadian study measuring depression level in teens (as reported in the Journal of Adolescence, vol. 25, 2002) randomly sampled 112 male teens and 101 female teens, and scored them on a common depression scale (higher score representing more depression). The researchers suspected that the mean depression score for male teens is higher than for female teens, and wanted to check whether data would support this hypothesis.
If μ1 and μ2 represent the mean depression score for male teens and female teens respectively, which of the following is an appropriate pair of hypotheses in this case? Check all that apply.
Chapter 16 Solutions
INTRODUCTION TO STATISTICS & DATA ANALYS
Ch. 16.1 - Urinary fluoride concentration (in parts per...Ch. 16.1 - Prob. 2ECh. 16.1 - Prob. 3ECh. 16.1 - A blood lead level of 70 mg/ml has been commonly...Ch. 16.1 - The effectiveness of antidepressants in treating...Ch. 16.1 - Prob. 6ECh. 16.1 - Prob. 7ECh. 16.2 - The effect of a restricted diet in the treatment...Ch. 16.2 - Peak force (N) on the hand was measured just prior...Ch. 16.2 - In an experiment to study the way in which...
Ch. 16.2 - Prob. 11ECh. 16.2 - Prob. 12ECh. 16.2 - Prob. 13ECh. 16.2 - Prob. 14ECh. 16.2 - Prob. 15ECh. 16.2 - Prob. 16ECh. 16.2 - Prob. 17ECh. 16.2 - The signed-rank test can be adapted for use in...Ch. 16.3 - Prob. 19ECh. 16.3 - Prob. 20ECh. 16.3 - The given data on phosphorus concentration in...Ch. 16.3 - Prob. 22ECh. 16.3 - Prob. 23ECh. 16.3 - The following data on amount of food consumed (g)...Ch. 16.3 - The article Effect of Storage Temperature on the...
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