The mean height obtained from a random sample of size 100 is 64 inches.The standard deviation of the distribution of height of the population is knawn to be 3inches. Test the statement that the mean height of the population is 67 inches at 5% levelof significance. Also set up 99% limits of the mean height of the population.

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Answered: The mean height obtained from 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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to qualify for a police academy, applicants are given a test of physical fitness. The scores are normally distributed with a mean of 66 and a standard deviation of 10 . If only the top 13% of the applicants are selected, find the cutoff score. Round z-value calculations to 2 decimal places and the final answer up to the nearest whole number. Cutoff score
The mean score on a driving exam for a group of driver's education students is 6868 points, with a standard deviation of 55 points. Apply Chebychev's Theorem to the data using kequals=22. Interpret the results
In a job fair, 3000 applicants applied for a job. Their mean age was formed to be 28 with a standard deviation of 4 years. Draw a normal curve distribution showing the z scores and the raw scores.
The average labor charge for automobile mechanics is OMR 69 per hour. The standard deviation is OMR 18. Find the minimum percentage of data values that will fall within the range of OMR 68 to OMR 80. Use Chebyshev's theorem. SHOW ALL THE WORKINGS, FORMULA etc.
For a certain type of computers, the length of time between charges of the battery is normally distributed with a mean of 62 hours and a standard deviation of 11 hours. John owns one of these computers and wants to know the number of hours when the computer would have 12% of its battery life left. Sketch the region in question. Write a sentence describing what your answer represents about the problem's specefics.
A normal shaped distribution with mean of 40 and standard deviation of 8 is transformed into z-score. Describe the shape, the mean, and the standard deviation for the resulting distribution of z-score.
The masses of 250 students are normally distributed with mean 65kg and standard deviation 4kg. Then how many students have masses between 63kg and 73kg.
A manufacturer of bolts has a quality control policy that requires it to destroy any bolts that are more than 2 standard deviations from the mean. The quality control engineer knows that the bolts coming off the assembly line have a mean length of 8cm with a standard deviation of 0.05 cm. For what length will a bolt be destroyed?
To qualify for a medical study, an applicant must have systolic blood pressure in the 60% of the middle range. If the systolic blood pressure is normally distributed with a mean of 120 and a standard deviation of 4, find the upper and lower limits of blood pressure a person must have to qualify for the study.
a sugar company packages sugar in 5kg bags. the amount of sugar per bag varies according to a normal distribution. a sample of 25 bags is selected from the days production and the mean for the day is 4.98 kg and the standard deviation is 0.05 kg. ( use 1-a= 0.95 ) the margin of error for the amount of sugar is?

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