A vendor was interested in determining whether two soft drink machines dispense the same amount of liquid
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A vendor was interested in determining whether two soft drink machines dispense the same amount of liquid

Use SPSS to answer the questions below. Interpret the output.  Keep in mind the requirements spelled out at the beginning of this assignment as well for all hypothesis testing questions.


1. A vendor was interested in determining whether two soft drink machines dispense the same amount of liquid. A sample of size seven was selected from each machine and the amount of liquid dispensed (in mL) was recorded as follows:
Machine A 287 312 278 290 293 281 295
Machine B 284 256 241 315 298 273 275
Use the Wilcoxon rank sum test to determine whether the distributions for the amount of liquid dispensed are the same for both machines. Use alpha = 0.05.
2. A car dealer was interested in comparing two brands of tires to see if they yielded different wear length (in thousands of km). The dealer selected eight cars at random and used each of the brands of tires on each car. The wear length was recorded as follows:
Car Brand A Brand B
1 45 47
2 43 40
3 54 57
4 63 61
5 39 43
6 47 45
7 56 58
8 50 55
Use the sign test to see if the distribution of wear length is the same for both brands of tires. Use alpha = 0.05.
 
3. Eight people were asked to perform a simple puzzle-assembly task under normal conditions and under stressful conditions. During the stressful time, a mild shock was delivered to subjects three minutes after the start of the experiment and every 30 seconds thereafter, until the task was completed. Blood pressure readings were taken under both conditions. The data in the table are the highest readings during the experiment. Do the data present sufficient evidence to indicate higher blood pressure readings under stressful conditions? Analyse the data using the Wilcoxon signed-rank test for a paired experiment.
Subject
Normal Stressful
1 128 132
2 119 120
3 117 127
4 120 122
5 120 123
6 130 127
7 127 132
8      122 122

4. Three treatments were compared using a completely randomized design. The data are shown in the table below.
Treatment 1 Treatment 2 Treatment 3
29 30 28
32 34 27
26 33 30
27 31 25
31 32 27
29 35 23
33 24
36
Do the data provide sufficient evidence to indicate a difference in location for at least two of the population distributions?  Test using the Kruskal-Wallis H statistic with alpha = 0.05. 
 
5. A professor was interested in the relationship between a student’s rank on an oral exam and the student’s rank on a written exam. The professor selected 8 students at random and ranked their scores for both the oral exam and the written exam. The following data were recorded
Student
Oral Exam Written Exam
1 1 2
2 3 3
3 2 1
4 4 5
5 8 7
6 7 8
7 6 4
8 5 6
Find and interpret the rank correlation between a student’s rank on the oral exam and the student’s rank on the written exam. 
Hint
Statistics1)Ranks MACHINENMean RankSum of RanksLIQUIDA78.8662.00B76.1443.00Total14   Test Statisticsb LIQUIDMann-Whitney U15.000Wilcoxon W43.000Z-1.214Asymp. Sig. (2-tailed).225Exact Sig. [2*(1-...

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