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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AN ENGINEERING STUDENT`SPENDS BETWEEN 5 MINUTES TO 15 MINUTES EATING HIS LUNCH. FOR THE SITUATION, DETERMINE THE STANDARD DEVIATION ans .2887
Suppose the total weight of passengers on a particular flight has a mean of 1499 with standard deviation 128 what is the score of a flight with a total weight of 1639.8
Suppose that a researcher is interested in estimating the mean systolic blood pressure, u, of executives of major corporations. He plans to use the blood pressures of a random sample of executives of major corporations to estimate u. Assuming that the standard deviation of the population of systolic blood pressures of executives of major corporations is 26 mm Hg, what is the minimum sample size needed for the researcher to be 99% confident that his estimate is within 4 mm Hg of u? Carry your intermediate computations to at least three decimal places. Write your answer as a whole number (and make sure that it is the minimum whole number that satisfies the requirements). (If necessary, consult a list of formulas.)
Assume that the weights of trout in a river are normally distributed. You randomly catch and weigh 20 such trout. The mean weight from your sample is 7.3 lb with a standard deviation of 0.9 lb. Test the claim that the mean weight of trout in this river is greater than 7 lb at a significance level of 0.01. Be sure to clearly identify your work, using appropriate notation at each step of the process, and summarize your final result in a complete sentence.
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
An advertising agency that serves a major radio station wants to estimate the mean amount of time that the station’s audience spends listening to the radio daily. From past studies, the standard deviation is estimated as 45 minutes. What sample size is needed if the agency wants to be 99% confident of being correct to within ±5 minutes?
For a data set of the pulse rates for a sample of adult females, the lowest pulse rate is 31 beats per minute, the mean of the listed pulse rates is `x=79.0 beats per minute, and their standard deviation is s=14.7 beats per minute. a. What is the difference between the pulse rate of 31 beats per minute and the mean pulse rate of the females? b. How many standard deviations is that [the difference found in part (a)]? c. Convert the pulse rate of 31 beats per minutes to a z score. d. If we consider pulse rates that convert to z scores between −2 and 2 to be neither significantly low nor significantly high, is the pulse rate of 31 beats per minute significant?
Q2) A certain machine makes electrical resistors having a mean resistance of 60 ohms and a standard deviation of 2 ohms. Assuming that the resistance follows a normal distribution and can be measured to any degree of accuracy, what percentage of resistors will have a resistance exceeding 63 ohms?
samples with sample size of 5 are drawn form a normal population with a mean of 100 and standard deviation of 1.5. Estimate: - Mean of the sample means - Standard deviation of the sample means

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