A newly developed vaccine has been developed and the vaccine has to be kept very cold so it iseffective. If the temperature of the stored vaccine vials raises above 40 degree Fahrenheit the vialscan no longer be used. The freezer at the pharmacy of a small town is old and the temperaturefluctuates following a normal distribution with mean μ and standard deviation 5. The pharmacist canset μ to a preferred temperature. If the pharmacist wants to guarantee that the vials are damagedwith probability no higher than 0.02, what is the highest µ that she can set?Enter your answer to 2 decimal points.(Standard Normal Table)

Given that. X~N( μ , ?) μ=? , ?=5 , x=40 Z-score =( x - μ )/?

Answered: newly developed vaccine has been…

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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Porphyrin is a pigment in blood protoplasm and other body fluids that is significant in body energy and storage. Let x be a random variable that represents the number of milligrams of porphyrin per deciliter of blood. In healthy circles, x is approximately normally distributed with mean μμ = 41 and standard deviation σσ = 16. Find the following probabilities. (Round your answers to four decimal places.)a.) x is less than 60 b.) x is greater than 16 c.) x is between 16 and 60 d.) x is more than 60 (This may indicate an infection, anemia, or another type of illness.)
Porphyrin is a pigment in blood protoplasm and other body fluids that is significant in body energy and storage. Let x be a random variable that represents the number of milligrams of porphyrin per deciliter of blood. In healthy circles, x is approximately normally distributed with mean ? = 43 and standard deviation ? = 9. Find the following probabilities. (a) x is less than 60(b) x is greater than 16(c) x is between 16 and 60(d) x is more than 60
You are conducting a study to see if the probability of a true negative on a test for a certain cancer is significantly less than 0.69. Your sample data produce the test statistic z=−2.7788. Find the p-value accurate to 4 decimal places. H0:μ=25.365H1:μ>25.365Your sample consists of 37 subjects, with a mean of 25.8 and standard deviation of 4.07.Calculate the test statistic, rounded to 2 decimal places.
A medical research team at the university is investigating the effectiveness of a new medical treatment for a rare disease. Data indicates that under the current treatment, patients have a mean white blood cell count of 23 cells/cc (cubic centimeter). This distribution is understood to be normally distributed, but the population standard deviation is not known. The new treatment will only be deemed effective if it significantly increases the patient’s white blood cell count above 23 cells/cc. The team has applied the treatment to a random sample of 10 patients. They have reported the following blood cell counts: 21, 25, 18, 24, 19, 25, 22, 20, 27, 25 At α = .01, is the new treatment effective?
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Porphyrin is a pigment in blood protoplasm and other body fluids that is significant in body energy and storage. Let x be a random variable that represents the number of milligrams of porphyrin per deciliter of blood. In healthy circles, x is approximately normally distributed with mean ? = 35 and standard deviation ? = 11. Find the following probabilities. (Round your answers to four decimal places.) (a) x is less than 60 (b) x is greater than 16 (c) x is between 16 and 60 (d) x is more than 60 (This may indicate an infection, anemia, or another type of illness.)
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