Asked by Timmy Nickel on Jul 27, 2024
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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 ounces) was recorded as Use the Wilcoxon rank sum test to determine whether the distributions for the amount of liquid dispensed are the same for both machines. Use = 0.05.
The null and alternate hypotheses are: : The distributions for the amount of liquid dispensed are identical for the two machines. : The distributions for the amount of liquid dispensed differ for the two machines.
What is the test statistic?
T:______________
What is the critical value for the test statistic?
______________
Thus: ______________
Conclude:
We conclude that the distributions of the amount of liquid dispensed by the two machines are ______________.
Liquid Dispensed
The volume of fluid distributed or allocated by a dispenser mechanism or device.
Wilcoxon Rank Sum Test
A nonparametric test that compares two independent samples to determine if they come from the same distribution.
Significance Level
The threshold under which the p-value of a statistical test must fall before rejecting the null hypothesis, indicating statistical significance.
- Create null and alternative hypotheses for the comparison of locations across two distinct populations.
- Execute the calculation and interpretation of test statistics within the Wilcoxon rank sum test framework.
- Establish and interpret significant levels for statistical evaluations.
Verified Answer
Learning Objectives
- Create null and alternative hypotheses for the comparison of locations across two distinct populations.
- Execute the calculation and interpretation of test statistics within the Wilcoxon rank sum test framework.
- Establish and interpret significant levels for statistical evaluations.
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