Example 11.5 A firm has appointed a large number of dealers all over the country to sell its bicycles. Itis interested in knowing the average sales per dealer. A random sample of 25 dealers is selected for thispurpose. The sample mean is Rs 50,000 and the standard error is Rs 20,000. Construct an intervalestimate with 95 per cent confidence.n=25df = 24 degrees of freedomStovalles0.025 ofarea under0.025 ofarea underthe curvethe curve↓0.95 of area under the curveX = 50000-2.064 0+2.064 ô41,74458,256JANGANFig. 11.4At distribution for 24 degrees of freedom, showing a 95 percent confidence interval.

Answered: Image /qna-images/answer/e22bcdd6-2411-4193-ae29-feef3288d7c9.jpg

Answered: Example 11.5 A firm has appointed a…

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 IQ test is designed so that the mean is 100 and the standard deviation is 21 for the population of normal adults. Find the sample size necessary to estimate the mean IQ score of statistics students such that it can be said with 95% confidence that the sample mean is within 5 IQ points of the true mean. Assume that σ=21 and determine the required sample size using technology. Then determine if this is a reasonable sample size for a real world calculation.
An IQ test is designed so that the mean is 100 and the standard deviation is 24 for the population of normal adults. Find the sample size necessary to estimate the mean IQ score of statistics students such that it can be said with 95% confidence that the sample mean is within 8 IQ points of the true mean. Assume tha σ=24 and determine the required sample size using technology. Then determine if this is a reasonable sample size for a real world calculation.The required sample size is enter your response here. (Round up to the nearest integer.) Would it be reasonable to sample this number of students? Yes. This number of IQ test scores is a fairly small number. No. This number of IQ test scores is a fairly small number. Yes. This number of IQ test scores is a fairly large number. No.This number of IQ test scores is a fairly large number.
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Let a population consist of the values 7 cigarettes, 20 cigarettes, and 21 cigarettes smoked in a day. Show that when samples of size 2 are randomly selected with replacement, the samples have mean absolute deviations that do not center about the value of the mean absolute deviation of the population. What does this indicate about a sample mean absolute deviation being used as an estimator of the mean absolute deviation of a population?
How large a sample must be taken to be 99% confident that the estimate of the average time of long-distance calls is within 5 minutes of the true average time of long-distance calls of all customers? A previous study indicated that the standard deviation for long-distance calls is 30 minutes.
An IQ test is designed so that the mean is 100 and the standard deviation is 13 for the population of normal adults. Find the sample size necessary to estimate the mean IQ score of statistics students such that it can be said with 95% confidence that the sample mean is within 6 IQ points of the true mean. Assume that o = 13 and determine the required sample size using technology. Then determine if this is a reasonable sample size for a real world calculation. ..... The required sample size is. (Round up to the nearest integer.)
Consider a population distribution of means that come from a normal distribution. The mean of the score distribution(μ)=100 and the standard deviation (σX) =10 and the means are from sample size=16. What is the proportion of means above a means of102.5?
An IQ test is designed so that the mean is 100 and the standard deviation is 10 for the population of normal adults. Find the sample size necessary to estimate the mean IQ score of statistics students such that it can be said with 99% confidence that the sample mean is within 4 IQ points of the true mean. Assume that σ=10 and determine the required sample size using technology. Then determine if this is a reasonable sample size for a real world calculation.
An IQ test is designed so that the mean is 100 and the standard deviation is 14 for the population of normal adults. Find the sample size necessary to estimate the mean IQ score of statistics students such that it can be said with 90% confidence that the sample mean is within 2 IQ points of the true mean. Assume that σ=14 and determine the required sample size using technology. Then determine if this is a reasonable sample size for a real world calculation.The required sample size is
Q3: The effective life of a component used in a jet-turbine aircraft engine is a random variable with mean 5000 hours and standard deviation 40 hours. The distribution of effective life is fairly close to a normal component that increases the mean life to 5030 hours and decreases the standard deviation to 30 hours. distribution. The engine manufacturer introduces an improvement into the manufacturing process for this Suppose that a random sample of n₁ = 16 components is selected from the "Old" process and a random sample of n₂ = 25 components is selected from the "Improved" process. What is the probability that difference in the two-sample means that the old and improved processes can be regarded as independent populations. 5 X₂X₁ is at least 15 hours? Assume
The grade point average for ALL juniors at a large college has a standard deviation of 0.50. A random sample of 20 students is to be used to estimate the population mean grade point average. What condition do you need to verify prior to computing the probability of obtaining a sample mean within plus or minus 0.2 of the population mean?

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