You work for a marketing firm that has a large client in the automobile industry. You have been asked toestimate the proportion of households in Chicago that have two or more vehicles. You have been assignedto gather a random sample that could be used to estimate this proportion to within a 0.02 margin of errorat a 98% level of confidence.a) With no prior research, what sample size should you gather in order to obtain a 0.02 margin of error?Round your answer up to the nearest whole number.n =householdsb) Your firm has decided that your plan is too expensive, and they wish to reduce the sample size required.You conduct a small preliminary sample, and you obtain a sample proportion of p = 0.185. Using this newinformation. what sample size should you gather in order to obtain a 0.02 margin of error? Round youranswer up to the nearest whole number.n =households

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Answered: You work for a marketing firm that has…

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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The student body at many community colleges is considered a "commuter population". The following question was asked of the Student Affairs Office at one such college: "How far (one way) does the average community college student commute to college daily?" The office answered: "20.0 miles or less." The inquirer was not convinced of the truth of this and decided to test the statement. She took a random sample of 55 students and found a mean commuting distance of 21.5 miles. Test the statement made by the Students affairs Office at a significance level of 0.01. Assume that the population standard deviation is known to be 5.1 miles. Use the P-Value Method of Testing.In your work space below, you will need to have -1. The null hypothesis, Ho 2. The alternative hypothesis, H13. The test statistic 4. The type of test(left, right, two-tailed) and the p-value 5. The decision to accept Ho or reject Ho
4. How many determiners are part of the sample underlying the following statistical model? P(adj|det) = 0.2 P(noun adj) = 1 P(noun det) = 0.8 20 nouns 4 adjectives and ? determiners.
8. Agri-Beef, Inc. is a large Midwestern farming operation. The company has been a leader in employing statistical techniques in its business. Recently, John Goldberg, operations manager, requested that a random sample of cattle be selected and that these cattle be fed a special diet. The cattle were weighed before the start of the new feeding program and at the end of the feeding program. John wished to estimate the average daily weight gain for cattle on the new feed program. Two hundred Forty cattle were tested, with the following sample results: X = 1.3 pounds gain per day and S= 0.60 pounds gain per day. a. Obtain a 92% confidence interval estimate for the true average daily weight gain. b. Provide a 98% confidence interval estimate for the true average daily weight gain. c. Discuss the difference between the two estimates found in parts a. and b., and indicate the advantages and disadvantages of each. d. John is considering adopting this new diet. However, the weight gain…
The table below summarizes data from a survey of a sample of women. Using a 0.01 significance level, and assuming that the sample sizes of 900 men and 400 women are predetermined, test the claim that the proportions of agree/disagree responses are the same for subjects interviewed by men and the subjects interviewed by women. Does it appear that the gender of the interviewer affected the responses of women? Gender of Interviewer Man Woman Women who agree 625 330 Women who disagree 275 70 Compute the test statistic, rounding to three decimal places. Find the critical value(s). (Round to three decimal places) What is the conclusion based on the hypothesis test?
3. What is the sample mean for the following sample of scores? Scores: 1, 2, 5, 4
The Bureau of Labor Statistics reports that the official unemployment rate for Black people was 10.4% and 4.7% for White people in February 2015. Select all correct answers for this question. O The samples of white and black people are independent. The explanatory variable is the unemployment rate. The response variable is the unemployment rate. The response variable is race.
1. If you wanted to conduct a survey to determine the mean shoe size of American adults, how could you collect the data to ensure that you had a simple random sample?
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2. Jim Miller works in the personnel department for a car company. He is told by his supervisor to investigate the difference in the average number of sick days between blue collar workers and whitecollar workers. So he obtained a random sample of 9 blue collar workers and a random sample of 9 white collar workers. He records the results below.At 10% level of significance, is there sufficient evidence to indicate a difference in mean sick days between blue collar workers and white collar workers.
A professor wanted to determine if the GPAS of students at Saddleback College are less consistent than the GPAS of students at Irvine Valley College. To test this, he obtains random samples of students from both colleges and records their GPAS, which are given below. Test the professor's claim at the a=0.05 level of significance. Saddleback College Irvine Valley College 3.7 3.2 3.0 2.5 2.7 3.6 4.0 3.4 3.8 3.2 3.0 2.5 3.6 2.8 2.6 2.5 2.1 2.7 3.9 3.4 2.0 2.2 2.7 3.1 2.0 2.0 2.1 3.8 3.1 2.9 3.2 2.8 Calculator Function [ Select] [ Select] 2-PropZTest ANOVA X^2-Test T-Test 2-SampTTest 2-SampFTest [ Select] v sufficient evidence that the standard deviation of grades for Saddleback College students is [ Select] than the standard deviation for Irvine Valley College students.
A marketing director developed a short television commercial to improve the image of a company. The commercial was tested on 20 people. People’s attitudes about the company were measured with a questionnaire when they first came in for the experiment and then again with the same questionnaire after viewing the commercial. Which statistical test would be best to determine if there is a significant difference between measures? one-sample t-test dependent samples t-test independent samples t-test ANOVA
You are a researcher studying the antler size of male Alaskan Moose in a certain Alaska location. You gather a random sample of 18 male moose and record the width (in feet) of the antlers. The data is displayed in the table below. Estimate the mean antler width of all Alaskan male moose in this area. Use a 90% confidence level. 3.6 5.6 3.4 3.4 4 5.2 4.6 4.3 4.6 4.6 2.2 6.4 3.6 3.1 5.4 4.4 3.3 4.3 a) Find the confidence interval: < μμ < b) What is the margin of error of your interval? c) Interpret your 90% confidence interval in context.

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