Poverty LevelAccording to government data, 22% of American children under the age of 6 live inhouseholds with incomes less than the official poverty level. A study of learning in earlychildhood chooses an SRS of 300 children from one state and finds that p = 0.29. a.1. Find the probability that at least 29% of the sample are from poverty-levelhouseholds, assuming that 22% of all children under the age of 6 in this state livein poverty-level households.2. Based on your answer to part (1), is there convincing evidence that thepercentage of children under the age of 6 living in households with incomes lessthan the official poverty level in this state is greater than the national value of22%? Explain your reasoning

Given Information: 22% of American children under the age of 6 live in households with incomes less…

Answered: According to government data, 22% of…

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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Suppose the manager agrees to pay each employee a$50bonus if they meet a certain goal. On a typical Saturday, the oil-change facility will perform 35 oil changes between 10 A.M. and 12 P.M. Treating this as a random sample, at what mean oil-change fime would there be a10%chance of being at or below? This will be the goal established by the manager. There would be a10%chance of being at or below minutes.
According to a survey, only 18% of customers who visited the web site of a major retail store made a purchase. Random samples of size 80 are selected. What is the probability that the sample proportion will have between 15% and 20% of customers who will make a purchase after visiting the web site?
An industrial psychologist feels that a big factor in job turnover among assembly line workers is the individual employee’s self-esteem. She thinks that workers who change jobs often (Population A) have, on the average, lower self-esteem, as measured by a standardized test, than workers whodo not (Population B). To determine whether she can support her belief with statistical analysis, she draws a simple random sample of employees from each population and gives each a test measuring self-esteem. The results are as follows: Group A 60 45 42 62 68 54 52 55 44 41 Group B 70 72 74 74 76 91 71 78 76 78 83 50 52 66 65 53 52 The psychologist believes that the relevant population scores are normally distributed, with equal, although unknown, variances. At the 0.1 level of significance, what should she conclude
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3. The amount of time it takes a TELNOR cashier to serve customers in service by car is a normally distributed random variable, with mean 3.2 minutes and standard deviation 1.6 minutes. Given a random sample of 64 customers served in a day, find the probability that the average time spent serving these customers is: (a) less than 2.7 minutes b) more than 3.5 minutes c) at least 3.0 minutes, but less than 3.4 minutes.
An employee survey conducted by a company two years ago found that 53% of its employees were concerned about future health care benefits: A random sample of 80 of these employees were asked if they were now concemed about future health care benefits. Answer the following, assuming that there has been no change in the level of concern about health care benefits compared to the survey bwo years ago a What is the standard enor of the sample proportion who are concerned? b. What is the probability that the sample proportion is less than 0.507 cWhat is the upper limit of the sample proportion such that only 4% of the time the sample proportion would exceed this value? Click the icon to view the standard normal table a The standard error of the sample proportion is (Round to five decimal places as needed.) CE
The proportion of items in a population that possess a specific attribute is known to be 0.25 a. If a simple random sample of size n=100 is selected and the proportion of items in the sample that contain the attribute of interest is 0.30, what is the sampling error b. Referring to part a, what is the probability that a sample size of 100 would have a sample proportion of 0.30 or less if the population proportion is 0.25
According to a PEW Research Center survey, the mean student loan at graduation is $25,000. Suppose that student loans are normally distributed with a standard deviation of $5,000. A graduate with a student loan is selected at random. Find the following probabilities. a) The loan is greater than $30,000. b) The loan is less than $22,500. c) The loan falls between $20,000 and $32,000.
A research team has developed a face recognition device to match photos in a database.From laboratory tests, the recognition accuracy is 95% and trials are assumed to be independent. a. If the research team continues to run laboratory tests, what is the mean number of trials untilfailure? b. What is the probability that the first failure occurs on the tenth trial?
The article “Unmarried Couples More Likely to Be Interracial” (San Luis Obispo Tribune, March 13, 2002) reported that 7% of married couples in the United States are mixed racially or ethnically. Consider the population consisting of all married couples in the United States. When the n = 200, what is the probability that the proportion of couples in the sample who are racially or ethinically mixed will be greated than .10?
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