Many fast-food restaurants have soft drink dispensers with preset amounts, so that when the operator merely pushes a button for thedesired rink the cup is automatically filled. This method apparently saves time and seems to increase worker productivity. Aresearcher randomly selects 9 workers from a restaurant with automatic dispensers and 9 works from a restaurant with manualdispensers. At a 1% significance level, use the Mann-Whitney U Test to test whether workers with automatic dispensers aresignificantly more productive.Automatic (Group 1): 153, 128, 143, 110, 152, 168, 144, 137, 118Manual (Group 2): 105, 118, 129, 114, 125, 117, 106, 92, 126What is the alternative hypothesis for this study?O There is no difference in worker productivity between restaurants with automatic and manual dispensers.O Worker productivity is lower with automatic dispensers.O Automatic dispensers fill cups faster than manual dispensers.O Worker productivity is higher with automatic dispensers.What rank will be given to the observation value, 118 that is in both the automatic and manual groups? (Round answer to 1 decimal).When rounding the U test statistic up to the next value, what is the p-value from the Mann Whitney Table of p-values? (Round to 4decimal places)What can be concluded from this study at a 1% significance level?O Worker productivity is lower with automatic dispensers.O There is no difference in worker productivity between restaurants with automatic and manual dispensers.O Worker productivity is higher with automatic dispensers.O Automatic dispensers fill cups faster than manual dispensers.

Many Fast-food Restaurants have soft drink dispensers with preset amounts. To test: H0: The two…

Answered: e Mann-Whitney U Test

Math

Statistics

e Mann-Whitney U Test

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Many fast-food restaurants have soft drink dispensers with preset amounts, so that when the operator merely pushes a button for the desired rink the cup is automatically filled. This method apparently saves time and seems to increase worker productivity. A researcher randomly selects 9 workers from a restaurant with automatic dispensers and 9 works from a restaurant with manual dispensers. At a 1% significance level, use the Mann-Whitney U Test to test whether workers with automatic dispensers are significantly more productive. Automatic (Group 1): 153, 128, 143, 110, 152, 168, 144, 137, 118Manual (Group 2): 105, 118, 129, 114, 125, 117, 106, 92, 126 What rank will be given to the observation value, 118 that is in both the automatic and manual groups? (Round answer to 1 decimal). When rounding the U test statistic up to the next value, what is the p-value from the Mann Whitney Table of p-values? (Round to 4 decimal places)
An LED light bulb manufacturer claims that the average lifespan of its 60-watt LED light bulbs is 43,000 hours.A corporate watchdog group is suspicious of the company's claim and thinks that the true average lifespan of the 60-watt LED light bulbs produced by the company may be less than the advertised 43,000 hours. The group collected and tested a random sample of 240 light bulbs and found the average lifespan of the sample was 42,958 hours.Use the p-value method to test the hypothesis that the mean lifespan of this brand of 60-watt LED light bulb is less than 43,000 hours, using α=0.025α=0.025. Assume the standard deviation of the lifespan of all such light bulbs is known to be 430 hours.State the null and alternative hypothesis for this test.H0:H0: H1:H1: Determine if this test is left-tailed, right-tailed, or two-tailed. right-tailed two-tailed left-tailed Should the standard normal (zz) distribution or Student's (tt) distribution be used for this…
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To test the significance of a Mann-Whitney U in very small sample sizes, it is first converted into a Z score and the corresponding p-value is evaluated against the alpha level used. True False
In a two-sample, one-tailed, independent t-test with a Power level of .90, effect size of .5, and an alpha level of .05, the total sample size needed for credibility and believability would be:
Five samples of a ferrous-type substance were used to determine if there is a difference between a laboratory chemical analysis and an X-ray fluorescence analysis of the iron content. Each sample was split into two subsamples and the two types of analysis were applied, with the accompanying results. Assuming that the populations are normal, test at the 0.02 level of significance whether the two methods of analysis give, on the average, the same result
A random sample of 1100 potential voters was randomly divided into 2 groups. Group 1: 500 potential voters; no registration reminders sent; 248 registered to vote Group 2: 600 potential voters; registration reminders sent; 332 registered to vote Do these data support the claim that the proportion of voters who registered was greater in the group that received reminders than in the group that did not? Use a 1% level of significance.
In a controlled laboratory experiment, scientists at the University of Minnesota discovered that 25% of a certain strain of rats subjected to a 20% coffee bean diet and then force-fed a powerful cancer-causing chemical later developed cancerous tumors. Would we have reason to believe that the proportion of rats developing tumors when subjected to this diet has increased if the experiment were repeated and 16 of 48 rats developed tumors? Use a 0.05 level of significance.
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