QUESTION 2a) A psychologist wishes to estimate the average reaction time to a stimulus among 200 patientsin a hospital specializing in nervous disorders. How large a simple random sample should betaken in order to estimate the population mean reaction time with a maximum bound on theerror of 1 second on the error of estimation; i.e. E=1 second. Take azl seconds.b) A sampling frame lists 1000 open accounts. Suppose that a simple random sample ofsize 200 open accounts gave a sample mean of R94.22 with standard deviation ofR21.10.i)Give the sampling fraction and comment in relation to the use of FPCF.ii)Estimate the average due for all 1000 open accounts.i)Estimate the standard error of the sample mean.iv)Estimate the total amount that is due for collection.v)Construct and interpret a 95% confidence interval for the population total amountthat is due for collection.vi)Give the bound on the error of estimation of the total

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Answered: a) A psychologist wishes to estimate…

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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Given that age of ECU students is normally distributed. A random sample of 16 students had an average age of 25 years and a variance of 4 square years. The 98% CI for the true average age of all ECU students is?
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A researcher collected data from a sample of correctional officers and found that, on average, they made 47,173 dollars a year with S=6,364. Assuming that their salaries were normally distributed what proportion of correctional officers make less than 40,000 dollars a year?
Gary has discovered a new painting tool to help him in his work. If he can prove to himself that the painting tool reduces the amount of time it takes to paint a room, he has decided to invest in a tool for each of his helpers as well. From records of recent painting jobs that he completed before he got the new tool, Gary collected data for a random sample of 7 medium-sized rooms. He determined that the mean amount of time that it took him to paint each room was 3.4 hours with a standard deviation of 0.3 hours. For a random sample of 6 medium-sized rooms that he painted using the new tool, he found that it took him a mean of 3.2 hours to paint each room with a standard deviation of 0.2 hours. At the 0.05 level, can Gary conclude that his mean time for painting a medium-sized room without using the tool was greater than his mean time when using the tool? Assume that both populations are approximately normal and that the population variances are equal. Let painting times without using…
2
A physical therapist wanted to know whether the mean step pulse of men was less than the mean step pulse of women. She randomly selected 50 men and 74 women to participate in the study. Each subject was required to step up and down a 6-inch platform. The pulse of each subject was then recorded. The following results were obtained. Two sample T for Men vs Women Mean N StDev SE Mean Men Women 95% Cl for mu Men - mu Women (- 10.67, - 1.13) T-Test mu Men = mu Women (vs H2 B. Ho: H1 = H2;

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