a) The mean wage per hour for all 400 employees working at a large company is RM 10.50with a standard deviation of RM 2.20. Let \(\bar{X}\) be the mean wage per hour for arandom sample of certain employees selected from this company. Find the mean andstandard deviation of \(\bar{X}\) for a sample size of:i. 120ii. 350

Given that Mean of X=10.50 Standard deviation of X=2.20 Find mean and standard deviation of sample…

Answered: a) The mean wage per hour for all 400…

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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There are two samples of children taken from a population. In the first sample, mean of age of 20 children is 8.5 years with standard deviation 3 years. In the second sample mean of age of 30 children is 7 years with standard deviation 2 years. If we combine these samples, what are the mean and the standard deviation of the combined sample? Age in which sample is more spread and why? Show your work by using formula and use 1 decimal place.
The mean and standard deviation of a series of 100 items were found to be 60 and 10 respectively. While calculating, two items were wrongly taken as 5 and 45 instead of 30 and 20. Calculate corrected variance, standard deviation and coefficient of variation.
Suppose that the average salary of health systems professionals is normally distributed with µ=KES 40,000 and σ = KES 10,000. (20 Marks) What proportion of professionals will earn KES 24,800 or less? What proportion of professionals will earn KES 53,500 or more? What proportion of professionals will earn between KES 45,000 and KES 57,000? Calculate the 80th percentile. Calculate the 27th percentile
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Use the formula to find the standard error of the distribution of differences in sample means, ₁ - X₂. Samples of size 105 from Population 1 with mean 86 and standard deviation 13 and samples of size 80 from Population 2 with mean 73 and standard deviation 16 Round your answer for the standard error to two decimal places. standard error =
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Suppose X ~ N(3, 1.2). What value of x is two standard deviations to the right of the mean?
The scores on a standardazed test are normally distributed with a mean of 115 and standard deviation of 7. What test score is 0.45 standard deviations below the mean?
Suppose that you wish to estimate the difference between mean pH measurements of rainfalls in two different locations, one in relatively unpolluted area and the other in an area subject to heavy air pollution. You want to be 95% confident that the margin of error for the difference between mean pH of rainfalls in relatively unpolluted area and mean pH of rainfalls in an area subject to heavy air pollution will not exceed 0.1 pH. How many rainfalls (pH measurements) must be included in each sample? Assume that the variance of pH measurements in a relatively unpolluted area is equal to 2 = 20, and the variance of pH measurements in an area subject to heavy pollution is equal to 2 = 0.25, and samples will be of equal size (n = n₂ = n). 2 It is supposed that values of pH in rainfalls are normally distributed in polluted and unpolluted areas. The number of rainfalls (pH measurements) that must be included in each sample is
popular standard deviation can be calculated in SPSS by .
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