4. The average of a bread-making machine is 7 years, with standard deviation of 1 year.Assuming that the lives of these machines follow approximately a normal distribution,finda) the probability that the mean life of a random sample of 9 such machines fallsbetween 6.4 and 7.2 yearsb) the value of x to the right of which 15 % of the mean computed from randomsamples of size 9 would fall.

Given Mean=7 Standard deviations=1 n=9

Answered: 4. The average of a bread-making…

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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5. For a certain disease, 40% of untreated patients can be expected to improve within a week. We observe a population of 80 untreated patients and record the percentage who improve within one week. According to the Central Limit Theorem, such percentages are approximately normally distributed. Find the mean and standard deviation of this normal distribution. Round the standard deviation to two decimal places.
1. The mass of a randomly chosen 15-year-old male student at a large secondary school may be modelled by a normal distribution with mean 55kg and standard deviation 2.2kg. Four students are chosen at random from this group. Calculate the probability that the mean mass of the four students is i. Less than 58kg ii. Between 52kg and 57.5kg
2.3
4. The time required for all cross-country skiers to complete a race has a normal distribution with a mean of 46 minutes and a standard deviation of 6 minutes. You choose a random sample of six skiers, and the mean of the sample is denoted i. What are the mean and standard deviation of ?
17).
1. Assume that IQ are normally distributed with a mean of 100 and standarddeviation of 18. For a sample of 15 adults, find the probability that their mean IQscore will be greater than 94?
Suppose samples of size 100 are drawn randomly from a population that has a mean of 20 and a standard deviation of 5. What is the probability of observing a sample mean equal to or greater than 20.5? 0.8384 0.4192 0.1634 0.9192 0.1587
A random sample of size 25 is to be taken from a population that normally distributed with mean 60 and standard deviation of 10. The mean sample of observation in our sample is to be computed. The sampling distribution of x ___ A. is Normal with mean 60 and standard deviation 2. B. has unknown shape with mean 60 and standard deviation of 2 C. is approximately Normal with mean 60 and standard deviation 10. D. is Normal with mean 60 and standard deviation 10.
The average life of a bread making machine is 7 years, with a standard deviation of 1 year. Assuming that the lives of these machines follow approximately a normal distribution, find a. the probability that the mean life of a random sample of 9 such machines falls between 6.4 and 7.2 years b. The value of to the right of which 15% of the means computed from random samples size 9 would fall. Round off to 5 decimal places
Suppose the scores of students on an exam are normally distributed with a mean of 444 and a standard deviation of 65. Then approximately 68% of the exam scores lie between the integers _____ and ____ such that the mean is halfway between these two integers.

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