Suppose you are testing two treatments for an illness, Treatment A and Treatment B. Assumethat your populations for Treatments A and B are both normal, and both have variances o?.Treatment A is a new treatment, and Treatment B is the established treatment, The effectsof the two treatments are measured on a numerical scale. You want to show that TreatmentA is better than Treatment B. Through long experience, you know that the average resultof Treatment B gives a numerical score of 70. Moreover you also know that the standarddeviation is approximately 2. You make the null hypothesis that uA = 80.(a) Suppose you have 1,000 volunteers for Treatment A and 900 for Treatment B. Youtake a random sample of size n100, and you find that for Treatment A you haveTA120. What, if anything, can you conclude?(b) What are the probabilities for Type I and Type II errors under the assumption Ho :HA = 80?

The hypothesis test is conducted for two treatments A and B for an illness. Given that, μA=80,…

Answered: Suppose you are testing two treatments…

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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A manager believes that the variance of output on the second shift is greater than the variance on the day shift. The following data are collected: 50 samples on the day shift; variance = 500 40 samples on the second shift; variance = 900 Set up hypotheses Perform a test and state your conclusions.
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The results obtained above were primarily due to the mean for the third treatment being noticeably different from the other two sample means. For the following data, the scores are the same as above except that the difference between treatments was reduced by moving the third treatment closer to the other two samples. In particular, 3 points have been subtracted from each score in the third sample. Before you begin the calculation, predict how the changes in the data should influence the outcome of the analysis. That is, how will the F-ratio for these data compare with the F-ratio from above? Treatment A Treatment B Treatment C 1 4 3 2 1 1 3 2 7 2 3 4 F-ratio = p-value = Conclusion: O These data do not provide evidence of a difference between the treatments O There is a significant difference between treatments
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Noise pollution is measured in decibels. In California any motorcycle made after 1980 may not be any louder than 80 decibels. Harley Davidson claims their mean decibel rating on bikes is 70 with a variance of 10. The variance of the noise is questioned. Just because Harley has a mean that is less than 80, they could still be producing louder than acceptable bikes. The federal EPA conducts a sample of 30 bikes and determines the variance to be 20 decibels. Is there enough evidence to question Harley’s claim of 10 decibels?
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The results obtained above were primarily due to the mean for the third treatment being noticeably different from the other two sample means. For the following data, the scores are the same as above except that the difference between treatments was reduced by moving the third treatment closer to the other two samples. In particular, 3 points have been subtracted from each score in the third sample. Before you begin the calculation, predict how the changes in the data should influence the outcome of the analysis. That is, how will the F-ratio for these data compare with the F-ratio from above? Treatment A Treatment B Treatment C 4 6. 7 3 9. 3. 4 3. F-ratio = p-value = Conclusion: O These data do not provide evidence of a difference between the treatments There is a significant difference between treatments Submit Question M hp
On average, a sample of n = 36 scores will provide a better estimate of the population mean than a sample of n = 49 scores from the same population.
Part 1. .If b = 0.523, then for every 1 unit increase in the independent variable, there is a 0.523 unit increase in the dependent variable. True or false? 2. .If b = .704, then 70.4% of the variance in the dependent variable can be explained by the variance in the independent variable. In contrast, 29.6% of the variance in the dependent variable can be explained by outside factors. True or false? 3. .If r = 0.444, then for every 1 unit increase in the independent variable, there is a 0.444 unit increase in the dependent variable. True or false?
The director of research and development is testing a new drug. She wants to know if there is evidence at the 0.02 level that the drug stays in the system for more than 312 minutes. For a sample of 69 patients, the mean time the drug stayed in the system was 319 minutes. Assume the variance is known to be 400. Step 2 of 5 : Enter the value of the z test statistic. Round your answer to two decimal places.
Here are the scatter plots for two sets of bivariate data with the same response variable. The first compares the variables x & y. The second compares the variables w & y 098 Which explanatory variable has a stronger relationship with the response variable y? O The first variable (x) has a stronger relationship with the response variable y. O The second variable (w) has a stronger relationship with the response variable y.

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