Question 5A consumer agency that proposes that lawyers' rates are too high wanted to estimate themean hourly rate for all lawyers in New York City. A sample of 70 lawyers taken from NewYork City showed that the mean hourly rate charged by them is $420. The population standarddeviation of hourly charges for all lawyer in New York City is $110.(a) What is point estimate of the corresponding population?(b) Make a 90% confidence interval for the mean hourly charges for all lawyers in NewYork City, explain your result and what the margin of error of estimate for u is.(c) Construct 98% confidence interval for the mean hourly charges for all lawyers in NewYork City, explain your result and what is the margin of error of estimate for p.

Given Data : Sample Size, n = 70 Sample Mean, x̄ = 420 standard…

Answered: Question 5 A consumer agency that…

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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QUESTION 1 Suppose a sample of 200 local vendors is selected as part of a survey conducted by the Ministry of Trade and it is found that 145 of the local vendors make an average income in excess of $ 7 600 per month. a) What is the point estimate of the proportion of local vendors who make an average income less than N$ 7 600 per month? b) What is the 98% confidence interval estimate of the population proportion of local vendors who make an average income in excess of $ 7 600 per month? c) Interpret the answer in (b).
question #2 2. A recent survey showed that from a sample of 500 packages delivered by a Postal Service,480 were delivered on time. a) Construct a 95% confidence interval for the proportion of all packages that are delivered on time by the Postal Service. b) The manager of the Postal Services claims that 98 percent of their mail are delivered on time. Test at the 1% significance level to determine whether the true proportion is less than 98 percent.
Question 21: calculate a 95% confidence interval for the average grade of statistics courses with support course model.
Question 1 In 2002, the average duration of incoming telephone calls to a furniture store was 9.4 minutes. The manager wants to perform a test to determine whether this average duration of incoming calls has changed. Twenty calls to the store was randomly selected and the mean duration was 10.2 minutes with standard deviation 4.8 minutes. Using a 1% level of significance, test whether the mean duration of incoming calls to the store had changed. Construct the 95% confidence interval for the population mean duration of the incoming calls to the furniture store. Question 2 A recent survey showed that from a sample of 500 packages delivered by a Postal Service, 480 were delivered on time. Construct a 95% confidence interval for the proportion of all packages that are delivered on time by the Postal Service. The manager of the Postal Services claims that 98 percent of their mail are delivered on time. Test at the 1% significance level to determine whether the true proportion is less…
QUESTION 1 Suppose that a survey was commissioned by the Ministry of Finance in order to determine the income of local vendors as part of their project aimed at investigating the feasibility of the presumptive tax. A sample of 26 local vendors was selected and their sample mean monthly income and variance was found to be $ 7 600 and $1 250 ($ squared), respectively. a) What is the 90% confidence interval estimate for the population mean monthly income of the local vendors? b) Provide an interpretation of the answer in a). c) What can be done to improve the precision of the confidence interval estimate in (a)?
Question 1 An airline company wishes to know the proportion of business class travelers flying the Kuala Lumpur-to-Hong Kong route. In a random sample of 350 passengers, 190 are business class passengers. a. Determine the point estimate of the true proportion of business class passengers. b. Construct a 95% confidence interval estimate of the average waiting time for all customers. c. Construct a 99% confidence interval estimate of the average waiting time for all customers. d. Referring to b) and c), what will happen to the width of confidence interval?
Question 4: A survey was administrated to determine the proportion of workers who reject relocation offers to be an administrator for family considerations. In the survey 423 people out of 672 rejected relocation offers due to family considerations. Use this information to construct a 95% confidence interval for the proportion of the population that will reject relocation offers due to family considerations.
Question 1: The GPAs of nursing students (p1) were compared to GPAs of student-athletes (p2) were compared. Of a sample of 400 randomly and independently selected nursing students, 75% were placed on honor roll. Of a sample of 100 athletes, 80% of the students were placed on honor roll. Calculated the LOWER bound of the 95% confidence interval for the two samples. Round to the nearest hundredth. Question 2: The GPAs of nursing students (p1) were compared to GPAs of student-athletes (p2) were compared. Of a sample of 400 randomly and independently selected nursing students, 75% were placed on honor roll. Of a sample of 100 athletes, 80% of the students were placed on honor roll. Calculated the UPPER bound of the 95% confidence interval for the two samples. Round to the nearest hundredth. Question 3: Copy of The GPAs of nursing students (p1) were compared to GPAs of student-athletes (p2) were compared. Of a sample of 400 randomly and independently selected nursing…
Question 2: At her job, Jackie has been working at her job for a few years now and feels like she, as well as everybody else in her department, is well overdue for a raise. Instead of collecting signatures of her colleagues in support of a pay raise, her boss sends out a poll to all employees in all departments to get a feel for what the others think. Assuming Jackie's boss wants only a 5% margin of error and a 99% confidence interval, what sample size is needed? Even though nobody that works there is not missing half of their body, it is okay if the sample size needed includes a decimal.
Question 5: The highway department wants to estimate the proportion of vehicles on the interstate 605 between the hours of midnight and 5 AM that are 18 - wheel trailers. The estimate will be used to determine highway repair and construction considerations. Suppose researchers for the highway department counted vehicles at different locations on the interstate for several nights during this time period. Of the 3481 vehicles counted, 1027 were 18 - wheelers. construct a 95% confidence interval for the proportion of vehicles traveling the interstate 605 during this time period that are 18 - wheelers.
Question 3: in a random sample of 870 Professors 270 use written resources for financial planning and 408 use a financial planner. Use this information to determine and 95% confidence interval for the proportion of all professors that use a financial planner as their primary means for financial planning.
Question 36 According to statistics reported on CNBC, a surprising number of moter vehicles are not covered by insurance. Sample reults, consistent with the CNBC report, showed 46 of 200 vehicles were not covered by insurance. Part A What is the point estimate of the proportion of vehicles not covered by insruance? Part B Develop a 95% confidence interval for the population proportion.

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