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
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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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.
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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.
According to the NIMH website the average number of adult Americans diagnosed with a “serious mental illness” across all 50 states in 2019 was μ = 5.2 out of 100 residents (or 5.2%). Please test to see if the sample of states listed below (n=8) has a significantly higher level of mental illness than the population mean of 5.2. Sample data: Arkansas= 5.45%, Montana=5.34%, Vermont=5.32%, Oregon=5.19%, Utah=5.2%, Ohio=5.13, Kentucky=5.25% West Virginia=5.18%. Hint - drop the % signs and use 5.45, 5.32, etc as the X scores. If you want you can use JASP for help with the calculations. Use 3 decimal places for the M, s, SEM. The alpha level for the study was set to α=.05. a. State the hypotheses of the study. b. Find the critical t value for this studyc. Compute the one-sample t test. d. Compute the Cohen's d for the data (even if not significant) e. State the results - is the sample significantly higher? Do you reject the null hypothesis? Report the t test results in APA format…

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