Suppose there are two different vaccines for Covid, Vaccine X and Vaccine Y. An interesting question is which vaccine has a higher 6-month antibody effectiveness quotient (6AEQ). To examine this we randomly select 78 recipients of vaccine X and 93recipients on vaccine Y. The vaccine X recipients had a mean 6AEQ of x = 151. The vaccine Y recipients had a mean 6AEQ of y = 148. It is recognized that the true standard deviation of 6AEQ for vaccine X recipients is o, = 9.7 while it is recognized thatthe true standard deviation of 6AEQ for vaccine Y recipients is o, = 10.5. The true (unknown) mean 6AEQ for vaccine X recipients is ly, while the true (unknown) mean 6AEQ for vaccine Y recipients is y. 6AEQ measurements are known to be anormally distributed. In summary:Sample Size Sample Mean Standard DeviationТуреVaccine7893151Vaccine14810.5Calculate the variance of the random variable X which is the mean of the 6AEQ measurements of the 78 vaccine X recipients.Calculate the variance of the random variable Y, which is the mean of the 6AEQ measurements of the 93 vaccine Y recipients.Calculate the variance of X - ?

The population standard deviation of vaccine x is 9.7.

Answered: Suppose there are bwo different…

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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Scores on a certain "IQ" test for 18-25 year olds are normally distributed. A researcher believes that the average IQ score for students at a certain NJ college is less than 110 points, and so wants to test this hypothesis. The researcher obtain a SRS of 55 student IQ scores from school records and found the mean of the 55 results was 107 with a sample standard deviation of 23. The level of significance (alpha) used for this problem is 0.05. Find/Calculate the P-value for this hypothesis test (show full calculator syntax) Stat Tests t tests , t test, 110, 107,23,55, , p = .156 Stat Tests t tests , t test, 110, 107,23,55, < ,р -.031 Stat Tests t tests , t test, 110, 107,23,55, = , p = .117
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A light bulb manufacturer wants to compare the mean lifetimes of two of its light bulbs, model A and model B. Independent random samples of the two models were taken. Analysis of 13 bulbs of model A showed a mean lifetime of 1358 hours and a standard deviation of 105 hours. Analysis of 12 bulbs of model B showed a mean lifetime of 1357 hours and a standard deviation of 103 hours. Assume that the populations of lifetimes for each model are normally distributed and that the variances of these populations are equal. Construct a 90% confidence interval for the difference µ, –, between the mean lifetime lj of model A bulbs and the mean lifetime µ, of model B bulbs. Then find the lower limit and upper limit of the 90% confidence interval. Carry your intermediate computations to at least three decimal places. Round your responses to at least two decimal places. (If necessary, consult a list of formulas.) Lower limit:|| Upper limit:I
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A light bulb manufacturer wants to compare the mean lifetimes of two of its light bulbs, model A and model B. Independent random samples of the two models were taken. Analysis of 15 bulbs of model A showed a mean lifetime of 1348 hours and a standard deviation of 81 hours. Analysis of 11 bulbs of model B showed a mean lifetime of 1351 hours and a standard deviation of 109 hours. Assume that the populations of lifetimes for each model are normally distributed and that the variances of these populations are equal. Construct a 99% confidence interval for the difference H-, between the mean lifetime u, of model A bulbs and the mean lifetime u, of model B bulbs. Then find the lower limit and upper limit of the 99% confidence interval, Carry your intermediate computations to at least three decimal places. Round your responses to at least two decimal places. (If necessary, consult a list of formulas.) Lower limit: Upper limit: Explanation Check 2021 McGraw-Hill Education. Al Rights Reserved…
It takes an average of 9.8 minutes for blood to begin clotting after an injury. An EMT wants to see if the average will change if the patient is immediately told the truth about the injury. The EMT randomly selected 52 injured patients to immediately tell the truth about the injury and noticed that they averaged 10.7 minutes for their blood to begin clotting after their injury. Their standard deviation was 1.98 minutes. What can be concluded at the the αα = 0.05 level of significance? For this study, we should use Select an answer t-test for a population mean, z-test for a population proportion The null and alternative hypotheses would be: H0:H0: ? μ p Select an answer = ≠ < > H1:H1: ? p μ Select an answer < ≠ > = The test statistic ? t z = (please show your answer to 3 decimal places.) The p-value = (Please show your answer to 4 decimal places.) The p-value is ? > ≤ αα Based on this, we should Select an answer reject fail to reject accept…
Scores on a certain "IQ" test for 18-25 year olds are normally distributed. A researcher believes that the average IQ score for students at a certain NJ college is less than 110 points, and so wants to test this hypothesis. The researcher obtain a SRS of 45 student IQ scores from school records and found the mean of the 45 results was 108 with a sample standard deviation of 21. The level of significance (alpha) used for this problem is 0.05. What is the appropriate test statistic (Student must complete by showing by formula using the ap- propriate values in that formula "showing work" and the final answer and appropriate label)? O T test score = (108-110)/(21/sqrt(45)) = -.639 T test score (108-110)/(21/sqrt(45)) = .639 %3D OT test score = (110-108)/(21/sqrt(45)) = .639 %3D T test score (108-110)/(45/sqrt(21)) =-.2037 %3D 素

A retrospective study of 200 patients with known hyperlipidemia taking statin medication is being reviewed. The major parameter of observation in this study is LDL cholesterol level, which is normally distributed with the mean ()of 120 mg/dL and the standard deviation (SD) of 15 mg/dL.
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