During cross-examination, a trace evidence examiner elaborates as follows:"The frequency of occurrence for orangeviscose in our database is 0.1% (or 0.001) and through replicate surveys it has been demonstrated that this rate isrepresentative of the considered population. This is why I concluded that is approximately 1000 (f=1/0.001) more likely toobserve orange viscose if the defendant assaulted the victim from the back." What type of conclusion is this?AThe expert properly integrates the scientific findings to help the trier-of-fact with the understanding of herfindings in the context of the case;B) The expert commits a Prosecutor's fallacy;ⒸThe expert incorrectly offers a likelihood ratio at the activity level based on factors pertaining to the sourcelevel only.DThe expert correctly offers a likelihood ratio at the activity level.

given The frequency of occurrence for orange viscose is 0.1%(0.001)

Answered: a trace evidence examiner elaborates as…

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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Consider the following two statistics: X= X,+X, + .… +X, and y = X, +X, + +X,12 2n 3(Xi2 + X23n/2 + +X,), ... ... ... n 2n where sample size n is a large even number. Which statistic would you prefer? Justify your answer by a thorough analysis.
A sample of 12 radon detectors of a certain type was selected, and each was exposed to 100 pCi/L of radon. The resulting readings were as follows: 104.3 89.6 89.9 95.6 95.2 90.0 98.8 103.7 98.3 106.4 102.0 91.1 a)Does this data suggest that the population mean reading under these conditions differs from 100? State and test the appropriate hypotheses using =.05. b) Suppose that prior to the experiment, a value of teta=7.5 had been assumed. How many determinations would then have been appropriate to obtain beta=.10 for the alternative u=95 ?
Listed below are the lead concentrations in ug/g measured in different traditional medicines. Use a 0.05 significance level to test the claim that the mean lead concentration for all such medicines is less than 14 ug/g. Assume that the sample is as 10 7 8.5 o 11 O 185 7.5 0.5 22 o Assuming all conditions for conducting a hypothesis test are met, what are the null and alternative hypotheses? OA. Họ: > 14 pg'a OB. H: u 14 pola OC. He: 14 pg'a OD. H: ua 14 pola H p> 14 pgla Determine the test statistic. ORound to two decimal places as needed.) Determine the P-value. O Round to three decimal places as needed) State the final conclusion that addresses the original claim. Ho- There is evidence to conclude that the mean lead concentration for all such medicines is 14 pg'a
PLEASE PROVIDE ACCURATE ANSWERS
A pilot study is conducted to investigate the effect of a nutritional supplement on total body weight. Nine participants agree to take the nutritional supplement. To assess its effect on body weight, weights are measured before starting the supplementation and then after 6 weeks. The data are shown below. Is there a difference in body weight following supplementation? Run the test at a 5% level of significance. Give each of the following: 1) the appropriate null and alternative hypotheses; 2) the appropriate test; 3) the decision rule; 4) the calculation of the test statistic; and 5) your conclusion including a comparison to alpha or the critical value. You MUST show your work Subject Initial Weight Weight after 6 Weeks 1 155 157 2 142 145 3 176 180 4 180 175 5 210 209 6 125 126 7 195 187 8 187 181 9 159 155
2) A local home inspector wants to test for lead levels in 10 homes using two different testing methods in each of the homes to determine the level of lead in each of the homes. Two different tests (A and B) are used to determine the level of lead found in each of ten randomly selected homes. The home inspector believes that Test A is more accurate than Test B. The data obtained, for lead level in each home using each method is shown in the table below. SPECIMEN 8| 9 2 3 4 6 7 10 A 22.7 23.6 24.0 26.6 27.2 28.7 35.0 32.5 44.1 47.3 Test B 23.0 23.2 23.5 25.6 27 27.1 33.2 35.3 40.5 47.8 a. Does this data provide convincing evidence to support the home inspectors claim? Provide a statistical justification to support your answer. b. What kind of error could you have made? What is one consequence of that error? c. Is the sample statistically significant at the 0.05 level? If not, at what significance level would these results be statistically significant at?
A scientist selected a random sample of seven varieties of peach ice cream to investigate the relationship between the density, in pounds per cubic inch, of the varieties of ice cream and the percent concentration of peaches in the ice cream. Assuming all conditions for inference are met, which of the following significance tests should be used to investigate whether there is convincing evidence at the 0.05 level of significance that a greater percent of peaches in the ice cream is associated with an increase in the density of the ice cream? A. A two-sample t-test for a difference between means B. A chi-square test of independence C. A linear regression t-test for slope D. A two-sample z-test for a difference between proportions E. A matched pairs t-test for a mean difference

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