Answered: The trade union of Sekhukhune…

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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1.1 The trade union of Sekhukhune University wanted to know the average wage of all workers of the university before entering into salary negotiations for 2020. Suppose the wages of all employees are normally distributed. A random sample of 64 employees was selected and had an average of R22 700 per month with a standard deviation of R3 200 per month. Construct a 95% confidence interval for the population average and interpret the results. (5) 1.2 The revenues of a sample of 15 spaza shops were recorded for the period of March 2020. The calculated sample variance was R897. Construct the 99% confidence interval for the population variance. (5) 1.3 The Minister of Labour would like to know the proportion of employed people who qualify to receive COVID-19 Relief Fund in Mamelodi at a 90% confidence with an estimation error of ±0.98%. A preliminary survey of 100 conducted in Mamelodi revealed that 65% qualify for COVID-19 Relief Fund. What sample size would be required to estimate the population proportion of those who qualify for COVID-19 Relief Fund in Mamelodi? (3) 1.4 The Quality Control Manager wants to estimate the mean life of light bulbs to within ±20 hours with 95% confidence. Assuming that the standard deviation is 98 hours, how many light bulbs need to be selected? (3) Question 2 [6] 2.1 A manager claims that fewer than 65% of employees will qualify for performance bonus this year. From a representative sample of 40 employees, 57.5% qualify for performance bonus. Test the manager’s claim at a 1% level of significance. (6)

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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