Assume that the sample is a simple random sample obtained from a normally distributed population of IQ scores of statistics professors. Use the table below to find the minimum sample size needed to be 95% confident that the sample standard deviation \( s \) is within 50% of \( \sigma \).Is this sample size practical?| | 1% | 5% | 10% | 20% | 30% | 40% | 50% ||---------------------------|------|-----|-----|-----|-----|-----|-----|| To be 95% confident that \( s \) is within | | | | | | | || of the value of \( \sigma \), the sample size \( n \) should be at least | 19,205 | 768 | 192 | 48 | 21 | 12 | 8 || To be 99% confident that \( s \) is within | | | | | | | || of the value of \( \sigma \), the sample size \( n \) should be at least | 33,218 | 1,336 | 336 | 85 | 38 | 22 | 14 |The minimum sample size needed is ☐.

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Answered: Assume that the sample is a simple…

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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Customers can replace 1, 2, 3, or 4 tires at a time for their vehicle at Tire Town, a nationwide tire shop chain. For customers who have had their tires replaced at Tire Town, the mean number of tires replaced is µ=2.13 , with a standard deviation of o =0.69 . Suppose that we will take a random sample of n=8 tire replacement orders. (Each order gives the number of tires being replaced.) Let x represent the sample mean of the 8 tire replacement orders. Consider the sampling distribution of the sample mean x. Complete the following. Do not round any intermediate computations. Write your answers with two decimal places, rounding if needed. (a) Find (the mean of the sampling distribution of the sample mean). (b) Find o– (the standard deviation of the sampling distribution of the sample mean).
An IQ test is designed so that the mean is 100 and the standard deviation is 18 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 7 IQ points of the true mean. Assume that o = 18 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.)
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 5 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.) Would it be reasonable to sample this number of students? No. This number of IQ test scores is a fairly small number. No. This number of IQ test scores is a fairly large number. Yes. This number of IQ test scores is a fairly small number. Yes. This number of IQ test scores is a fairly large number.
Can you assist me in answering this? (this is not graded but, rather, an excersice conducive to acquisition).
Executives of a supermarket chain are interested in the amount of time that customers spend in the stores during shopping trips. The executives hire a statistical consultant and ask her to determine the mean shopping time, u, of customers at the supermarkets. The consultant will collect a random sample of shopping times at the supermarkets and use the mean of these shopping times to estimate u. Assuming that the standard deviation of the population of shopping times at the supermarkets is 27 minutes, what is the minimum sample size she must collect in order for her to be 99% confident that her estimate is within 5 minutes 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.) ?
A large airline company called Fusion Fly monitors customer satisfaction by asking customers to rate their experience as a 1, 2, 3, 4, or 5, where a rating of 1 means "very poor" and 5 means "very good". The customers' ratings have a population mean of u=3.25, with a population standard deviation of o=1.86. Suppose that we will take a random sample of n=8 customers' ratings. Let x represent the sample mean of the 8 customers' ratings. Consider the sampling distribution of the sample mean x. Complete the following. Do not round any intermediate computations. Write your answers with two decimal places, rounding if needed. (a) Find u- (the mean of the sampling distribution of the sample mean). (b) Find o- (the standard deviation of the sampling distribution of the sample mean).
Use the data in the Excel workbook, on the worksheet labeled "Sample," for this question. The first column is just an observation index labeled i to name each observation. The observations are a simple random sample with replacement from a much larger population. The second column contains specific values y of a random variable Y found in some sampled population. The population standard deviation is not known to you, but it is known that Y has a Normal distribution in the sampled population. Compute the lower bound of an 85% confidence interval for the population mean of the random variable Y. i y 1 37 2 40 3 31 4 27 5 23 6 33 7 29 8 26 9 39 10 28 11 34 12 39 13 31 14 34 15 39 16 33 17 31 18 42
Assume that the sample is a simple random sample obtained from a normally distributed population of IQ scores of statistics professors. Use the table below to find the minimum sample size needed to be 95% confident that the sample standard deviation s is within 20% of σ. Is this sample size practical? A.No, because the sample size should be as small possible for most applications B.Yes, because the sample size should be as large as possible for most applications. C.No, because the sample size is excessively large to be practical for most applications. D.Yes, because the sample size is small enough to be practical for most applications
A sample consisting of four pieces of luggage was selected from among the luggage checked at an airline counter, yielding the following data on x = weight (in pounds). x1 = 33.7, x2 = 27.2, x3 = 36.8, x4 = 30.7 Suppose that one more piece is selected and denote its weight by x5. Find all possible values of x5 such that x = sample median. (Enter your answers as a comma-separated list.) x5 =
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 90% confidence that the sample mean is within 4 IQ points of the true mean. Assume that o = 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 (Round up to the nearest integer.) Would it be reasonable to sample this number of students? O No. This number of IQ test scores is a fairly small number. Yes. This number of IQ test scores is a fairly large number. Yes. This number of IQ test scores is a fairly small number. No. This number of IQ test scores is a fairly large number. O O O O

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