A sample of eight repair records for a certain fiber-optic component was drawn, andthe cost of each repair, in dollars, was recorded with the following results:3235192327222616Form a 98% confidence interval for the mean repair cost.(18.25,31.75)O (4.75,45.25)(18.30,31.20)O (5.39,44.11)

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Answered: A sample of eight repair records for a…

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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1. A recent survey showed that from a sample of 500 packages delivered by a Postal Service, 480were delivered on time. a) Construct a 95% confidence interval for the proportion of all packages that are deliveredon time by the Postal Service.
A random sample of 10 regions in New England gave the following violent crime rates (per million population):3.5 3.7 4.0 3.9 3.3 4.1 1.8 4.8 2.9 3.1Another random sample of 12 regions in the Rocky Mountain states gave the following violent crime rates (per million population):3.7 4.6 4.5 5.3 3.3 4.8 3.5 2.4 3.1 3.5 5.2 2.8Find the 85% confidence interval for the difference between the average violent crime rate in New England states and the average violent crime rate in Rocky Mountain states. State your interpretation and conclusion.
A random sample of 62 suspension helmets used by motorcycle riders and automobile race-car drivers was subjected to an impact test, and on 37 of these helmets some damage was observed. Find a 90% two-sided confidence interval on the true proportion (p) of helmets of this type that would show damage from this test. 0.517 <= p <= 0.677 0.597 <= p <= 0.677 0.517 <= p <= 0.699 0.494 <= p <= 0.699 0.494 <= p <= 0.677
In a survey of 20222022 adults in a recent year, 716716 made a New Year's resolution to eat healthier. Construct 90% and 95% confidence intervals for the population proportion. Interpret the results and compare the widths of the confidence intervals.
In monitoring lead in the air after an explosion at a battery factory, it is found that the amount of lead (in ug/m3) over a 6 day period had a standard error of 2.57. Find the margin of error that corresponds to a 95% confidence interval.
In a recent questionnaire about homeownership, a random sample of 545 homeowners were asked about fixed and adjustable-rate mortgages, and 268 reported that they have an adjustable-rate mortgage. What value of z should be used to calculate a confidence interval with a 95% confidence level? z0.10 z0.05 z0.025 z0.01 z0.005 1.282 1.645 1.960 2.326 2.576
During a flu vaccine shortage in the United States, less than a majority of people were able to receive the vaccine. The results of a survey given to a random sample of 2,350 vaccine-eligible people indicated that 978 of the 2,350 people had received flu vaccine. a) Construct and interpret a 95 percent confidence interval for the proportion of vaccine-eligible people who had received flu vaccine.
During a laboratory analysis of human blood composition, tests are repeated and are known to be normally distributed. Fifteen tests on a given sample of blood yielded the following values1.003 1.01 1.03 1.045 1.0061.024 1.019 1.009 1.014 1.0211.031 1.08 1.058 1.012 1.001 Calculate the 98% confidence interval for true composition of the blood in repeated tests of the sample.b) Data on investments in the high-tech industry by venture capitalists are compiled by VentureOne Corporation. A random sample of 16 venture capital investments in the fiber optics business sector yielded the following data, in millions of dollars. 5.60 6.27 5.96 10.51 2.04 5.48 5.74 5.588.63 5.95 6.67 4.21 7.71 9.21 4.98 8.64 Determine a 99% confidence interval for the mean amount, μ, of all venture-capital investments in the fiber optics business sector. Assume that the population standard deviation is $1.98 million.
In monitoring lead in the air after the explosion at the battery factory, it is found that the amounts of lead over a 8 day period had a standard error of 1.88. Find the margin of error that corresponds to a 95% confidence interval. (Round to 2 decimal places)
The management of a large national chain of 20 motels, each with 100 rooms, decided to estimate the mean cost per room of repairing damages made by its customers . A random sample of 31 vacated rooms was inspected by the management and indicated a mean repair cost Of tilde x =\$28.10 and a sample standard deviation of s=\$12.40 . Construct a 95\% confidence interval for the mean repair cost u for the 2000 motel rooms .
A U.S. Food Survey showed that Americans routinely eat beef in their diet. Suppose that in a study of 49 consumers in Illinois and 64 consumers in Texas the following results were obtained from two samples regarding average yearly beef consumption: Illinois Texas = 49 = 64 = 54.1lb = 60.4lb S1 = 7.0 S2 = 8.0 Develop a 95% confidence Interval Estimate for the difference between the two population means.
In a study of academic procrastination, the authors of a paper reported that for a sample of 431 undergraduate students at a midsize public university preparing for a final exam in an introductory psychology course, the mean time spent studying for the exam was 7.54 hours and the standard deviation of study times was 3.90 hours. For purposes of this exercise, assume that it is reasonable to regard this sample as representative of students taking introductory psychology at this university. (a) Construct a 95% confidence interval to estimate ?, the mean time spent studying for the final exam for students taking introductory psychology at this university. (Round your answers to three decimal places.)( , )(b) The paper also gave the following sample statistics for the percentage of study time that occurred in the 24 hours prior to the exam. n = 431 x = 43.88 s = 21.66 Construct a 90% confidence interval for the mean percentage of study time that occurs in the 24 hours prior…

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