Assume that the sample is a simple random sample obtained from a normally distributed population of IQ scores ofstatistics professors. Use the table below to find the minimum sample size needed to be 95% confident that the samplestandard deviations is within 20% of o. Is this sample size practical?6To be 95% confident that s iswithinof the value of o, the sample sizen should be at leastTo be 99% confident that s iswithinof the value of 6, the sample sizeIn should be at leastThe minimum sample size needed is1% 5%19,205 76810% 20% 30% 40% 50%192 48 21 12 81% 5% 10% 20% 30% 40% 50%33,218 1,336 336 85 38 22 14

From the provided information, Confidence level = 95% Sample standard deviation s is within 20% of…

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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In each of Exercises, suppose that you want to perform a hypothesis test for a population mean. Assume that the population standard deviation is unknown and that the sample size is relatively small. In each exercise, we have given the distribution shape of the variable under consideration. Decide whether you would use the t- test, the Wilcoxon signedrank test, or neither. Explain your answers. Triangular
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.
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).
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 90% confidence that the sample mean is within 2 IQ points of the true mean. Assume that o = 10 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.) Enter your answer in the answer box and then click Check Answer. ? 1 part remaining Check Answer 1 Clear All
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The pulse rates of 168 randomly selected adult males vary from a low of 39 bpm to a high of 111 bpm. Find the minimum sample size required to estimate the mean pulse rate of adult males. Assume that we want 98% confidence that the sample mean is within 2 bpm of the population mean. Complete parts (a) through (c) below
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
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Christmas is around the corner and people are rushing to purchase gifts. About 12 random customers reported how much they spent (in R) on gifts at a certain store in preparation for the 25 December celebration. The data are as follows: 191 189 181 102 125 160 143 159 100 103 82 89 where the third and fourth sample moments are Ma = 6982.407 and M. = 3294249. a. 32% of the customers spent at least Answer b. 22% of the customers spent at most Su c. The unbiased sample standard deviation is d. Calculate the standardised measure of kurtosis e. (option a) : The data is platykurkic.(option b) : The data is leptokurtic. (option c) : The data is mesokurtic.
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