3.Statistical inferenceQuestion 1 a iii) a)Let X₁, X₂, X3, ..., Xn be a random sample of size n from population X. Suppose that X~N(0, 1)XiΣ₁1X₁0√√n.and y=2=14√niii) Show using the moment generating function technique that Y is a standard normal randomvariable.

From the given information, Moment of generating function of normal distribution is eμt+σ22t2. For…

Answered: Let X₁, X₂, X3,..., Xn be a random…

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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I need help in this question 1)A company claims that its new viral vaccine is 90% effective in preventing a contagious viraldisease. Suppose that in a clinical trial with 3000 respondents, 2640 did not get infected by thisdisease. Which is an appropiate test?a)No answer text provided.b)left-tailed z-testc)two-tailed z-testd) right-tailed z-test
Results of a poll evaluating support for drilling for oil and natural gas off the coast of California. Suppose the number of college grads and non-college grads was fixed prior to the study. College Grad Not College Grad Support Oppose or Do not Know Total 164 132 236 268 400 400 (a) What percent of college graduates and what percent of the non-college graduates in this sample support drilling for oil and natural gas off the Coast of California? (b) Conduct a hypothesis test to determine if the data provide strong evidence that the proportion of college graduates who support off-shore drilling in California is different than that of non-college graduates. Be sure to clearly state the null and alternative hypotheses in symbols and in words, the test statistic you choose to use, it's distribution, the p-value, and your conclusions. (Use a = = 0.05)
Null and alternative hypotheses are statements about A sample statistics. B) sample parameters. c) it depends - sometimes population parameters and sometimes sample statistics. D population parameters
Provide an example of between subject design and one example of within subject design
Domanda 3 The testing plan on a batch with a high number of pieces is based on two control phases: Risposta non data First phase, N pieces controlled: Punteggio max if the number of pieces out of tolerance is lower or equal than n. then the batch is accepted 8,00 if the number of pieces out of tolerance is greater than n., but lower or equal than n then the second phase is performed P Contrassegna Second phase, N. pieces controlled: domanda if the number of pieces out of tolerance in the second phase is lower or equal than n, then the batch is accepted Evaluate the probability that a batch having a percentage Pof pieces out of tolerance is accepted First phase N, 150 n11 3 8 Second N2 400 phase n21 Percentage P of pieces out of 4% tolerance Express numerical results with 2 decimal digits (e.g. 0.12 or 67.89). Probability that the batch is accepted in the first phase: Total probability that the batch is accepted in the second phase: Total probability that the batch is accepted: X (%]
Construct one table that includes relative frequencies based on the frequency distributions shown below, then compare the amounts of tar in nonfiltered and filtered cigarettes. Do the cigarette filters appear to be effective? (Hint: The filters reduce the amount of tar ingested by the smoker.) Click the icon to view the frequency distributions. Complete the relative frequency table below. Relative Frequency (Filtered) % Tar (mg) 6-9 10-13 14-17 18-21 22-25 Relative Frequency (Nonfiltered) % % % % % % % do d % %
The inferential procedures discussed in this book are intended for use with only one particular sampling procedure. What sampling procedure is that?
10.STATISTICAL INFERENCEQuesdtion 3 d
II. calculate the probabil ities 1. P(0
1
3.) In a particular epidemic disease, 400 individuals were surveyed by a well-established pharmaceutical company to determine if the company’s new vaccine was effective after 4 months. Among the 120 individuals who had that disease and were given the shot, 29 were cured and achieved immunity after 4 months. Among 280 individuals who had the disease but were not given the shot, 56 were cured and achieved immunity after 4 months. Is there enough statistical evidence to support the company’s claim of the effectiveness of the vaccine?

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Let X₁, X₂, X3,..., Xn be a random sample of size n from population X. Suppose that X~N(0, 1) Σ1Xi √n O√n. and Y =