2 You want to compare the etch rate for wafers produced using two ditferent etching methods For each method, the etch rate for 15 wafers is measured. You conduct a two-sample rtest todetermine whether there is a significant difference in the average etch rate for the two methods. You use a significance level of 0.05 Based on these results which of the following statements istrue?10310.210.110999.79.6Method 1Method 2Methodt TestMethod 2-Method 1Assuming unequal variancesDifference0.06467 t Ratio1.18943Std Err Dif0.05437 DF27.99505Upper CL Dif 0.04670 Prob > t 0.2443Lower CL Dif 0.17604 Prob >tConfidence0.8779 0.20 0.10 0.00 0.10 0200.95 Prob

Solution: We want to test the hypothesis Ho:μ1=μ2 VS Ha:μ1≠μ2

Answered: etth Fate for waters produced using two…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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The makers of the Oral-B 3D toothbrush claims that using their brush will "significantly combat tooth decay" when compared with regular toothbrushes. College students have an average of 0.70 (s = 0.40) cavities filled in a given year. You randomly ask 100 students to use the Oral-B 3D toothbrush for one year. They have an average of 0.631 cavities filled in that year. Does the Oral-B 3D toothbrush combat tooth decay at a significance level of .05? Complete a hypothesis test of this study that the using the Oral-B 3D toothbrush reduces (e.g., a "directional" hypothesis) tooth decay. Be sure to include all six steps of a hypothesis test. Please show using excel also. Thanks
A national organization has been working with utilities throughout the nation to find sites for large wind machines that generate electricity. Wind speeds must average more than 13 miles per hour (mph) for a site to be acceptable. Recently, the organization conducted wind speed tests at a particular site. To determine whether the site meets the organization's requirements, consider the test, Ho: μ =13 Ha: μ >13 where μ is the true mean wind speed at the site and a=.05 Suppose the observed significance level ( p-value) of the test is calculated to be p=0.4413 Interpret this result. Since the p-value greatly exceeds α = .05, there is strong evidence to reject the null hypothesis. Since the p-value exceeds α = .05, there is insufficient evidence to reject the null hypothesis. We are 55.87% confident that μ = 13. The probability of rejecting the null hypothesis is 0.4413.
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We want to test whether the mean fluride levels in the drinking water is better in city A or City B. In order to test this, a sample of 24 different water samples was taken from city A and a sample was taken from 23 different water samples in city B. City A has a sample average of 1.7 micrograms of fluride per deciliter of water and city B has a sample average 2.0 micrograms of lead per deciliter of water. Further, city A has a known standard deviation of A=.96 and city B has a known standard deviation of B=.89. Find the p-value for the following hypothesis test: Null: uA-uB=0 vs. Alternative: uA-uB<0.
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