Problem #1: An 1868 paper by German physician Carl Wunderlich reported, based on over a millionbody temperature readings, that healthy adult body temperatures are approximatelynormally distributed with mean 98.6 degrees Farenheit and standard deviation 0.6. In arandom sample of 55 healthy adults, find the probability that the average bodytemperature is between 98.44 and 98.74.Problem #1:answer correct to 4 decimals

Given data normal distribution μ = 98.6σ = 0.6 n = 55 P(98.44<x¯<98.74) = ?

Answered: Problem #1: An 1868 paper by German…

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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question 7 a,b
Problem 6 The average travel time (one way) from National University to Robinsons Magnolia is 25 minutes according to a survey conducted by NU engineering students. If we assume that commuting times are normally distributed and that the standard deviation is 6.1 minutes, what is the probability that a randomly selected commuter spends more than 30 minutes from NU to Robinsons Magnolia? Less than 18 minutes?
QUESTION 11 The mean measure of high density lipoprotein (HDL), or good cholesterol, is 54 with a standard deviation of 17 in patients over age 50. If the HDL values are obtained from a sample of 32 individuals, the probability of getting a mean HDL value over 62 is 0.049. True False
Problem 7 The average yearly Philhealth benefit per person was 4,064 php in a recent year. If the benefits are normally distributed with a standard deviation of 460 php, find the probability that the mean benefit for a random sample of 20 persons is: a) Less than 3800 php b) More than 4100 php
Problem 9 ): The life of a device has an average of 50 months and a standard deviation of 6.8 months. Let X be the average life (in months) of a random sample of 49 devices. Find the probability that the average life (in months) of a random sample of 49 devices is between 49 months and 52 months. (Provide your final answer with 4 or more decimal places)
Problem #1: Glaucoma is a disease of the eye that is manifested by high intraocular pressure. The distribution of intraocular pressure in the general population is approximately normal with mean 16 mm Hg and standard deviation 3 mm Hg. In a random sample of 35 people, find the probability that the average intraocular pressure is between 15.1 and 16.6. Problem #1: answer correct to 4 decimals
Question 10 The empirical rule states that 99% of the population is within [A] standard deviation(s). Answer in number format
Problem #4: Suppose the weights of Gala apples are known to be normally distributed with mean 166g and standard deviation of 1.9g. Bags of apples contain 11 apples. What is the probability the total weight of the bag of apples is greater than 1835g? Problem #4: answer correct to 4 decimals
QUESTION 2 Given a normal distribution (X) with mean = 100 and standard deviation (σ) = 10, w hat is the probability that X > 108?
Question 2 1 pts Decide if each of the following statement is True or False. If all the scores in a data set are the same, the Standard Deviation is equal to 1.00. O True O False
Problem 6. A pharmaceutical company is evaluating the effectiveness of a new drug to treat insomnia. For a random group of 64 patients the average amount of sleep is 5 hours per night before receiving the drug. After one month of treatment, the average amount of sleep is 5.8 hours per night. The standard deviation of the differences is 0.6. Can the new drug be considered effective? a. Setup the appropriate null and alternative hypotheses. b. Construct the relevant test statistic. c. Test the hypotheses at the 0.05 significance level and state your conclusion.
Question 5 A leading magazine (like Barron's) reported at one time that the average number of weeks an individual is unemployed is 27 weeks. Assume that the length of unemployment is normally distributed with population mean of 27 weeks and the population standard deviation of 5 weeks. Suppose you would like to select a random sample of 8 unemployed individuals for a follow-up study. Round the answers of following questions to 4 decimal places. What is the probability that one randomly selected individual found the next job is more than 30 weeks? ____ For 8 unemployed individuals, find the probability that the average time that they found the next job is more than 30 weeks. _____

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