The workers' union at a certain university is quite strong. About 94% of all workers employed by the university belong to theworkers' union. Recently, the workers went on strike, and now a local TV station plans to interview a sample of 20 workers, chosenat random, to get their opinions on the strike.Answer the following.(If necessary, consult a list of formulas.)(a) Estimate the number of workers in the sample who are union members by giving the mean of the relevantdistribution (that is, the expectation of the relevant random variable). Do not round your response.(b) Quantify the uncertainty of your estimate by giving the standard deviation of the distribution. Round yourresponse to at least three decimal places.

Given that n =20 ,p =0.94 (a ) Mean =? ( b ) s.d =?

Answered: The workers' union at a certain…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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The General Social Survey is an annual survey given to a random selection of about 1500 adults in the United States. Among the many questions asked are "What is the highest level of education you've completed?" and "If you're employed full-time, how many hours do you spend working at your job during a typical week?" In a recent year, 1079 respondents answered both questions. The summary statistics are given in the chart below. (The sample data consist of the times, in hours per week, that were given by the respondents.) Sample Sample Sample size Groups mean variance Less than h.s. High school Bachelor's 258 40.9 101.8 263 41.8 97.5 270 42.2 94.4 Graduate 288 43.0 98.7 Send data to calculator Send data to Excel To decide if there are any differences in the mean hours per week worked by these different groups, we can perform a one-way, independent-samples ANOVA test. Such a test uses the following statistic. Variation between the samples F= Variation within the samples For the data from…
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One cable company advertises that it has excellent customer service. In fact, the company advertises that a technician will be there within 30 minutes of when a service call is placed. One frustrated customer believes this is not the truth, claiming that it takes over 30 minutes for the cable repairman to arrive. The customer asks 15 of his neighbors how long it has taken for the cable repairman to arrive when they have called for him. The sample mean for this group is 32.2 minutes with a sample standard deviation of 3.6 minutes. Test the customer’s claim at the 0.02 level of significance. (a) State the null and alternative hypotheses (b) Find the value of your test statistic. Draw a picture and label its location on the normal curve. Also shade the area where you will find the p-value. (c) Calculate the p-value from the sample data. Compare it to the significance level. Label it’s value and location on your bell curve (d) Write a full…
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