4. A laptop manufacturing company claims that its top quality laptops are good, on average,for at least 120 months before expiry. A consumer protection agency tested 68 such laptopsand found that on average they last 102 months with a standard deviation of 9 months.Construct:(1) 95% confidence interval for the mean.(ii) 99% confidence interval for the mean.(iii) 90% confidence interval for the mean.(iv) Which confidence interval should the agency use for better precision? Why?

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Answered: 4. A laptop manufacturing company…

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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How can we also find normality?
A forestry researcher is conducting a study of trees in the upper midwest. He selects a random sample of 125 red maple trees and measures the trunk diameter of each. The mean of the sample is 25 inches with a standard deviation of 5.2 inches, use this to find a 95% confidence interval for the mean trunk diameter of all red maple trees.
A data set includes 1-3 body temperatures of healthy adult humans having a mean of 98.1 F and a standard deviation of 0.56 F Construct a 99% interval estimate of the mean body temperature of all healthy humans. What does the sample suggest about the use of 98.6 F as the mean body temperature? What is the confidence level interval estimate of the mean ?
10.
The heights of 9 men were taken with sample mean of 165 cm and standard deviation 5 cm. The heights of 7 Japanese women were taken with sample mean of 150 cm and standard deviation 3 cm. Assuming that the population standard deviations for heights of men and women are both the same, construct the 95% confidence interval for the difference in mean heights between men and women.
A random sample of 10 children found that their average growth for the first year was 9.8 inches, with a standard deviation of 0.96 inches. Find the 85% confidence interval of the mean growth of all American children in the first year of life.What is the name of the confidence interval?
Please help with 1 a,b,c,d,e, and f.
A survey of 30 adults found that the mean age of a person's vehicle is 3.6 years. Assuming the population distribution is normal and the standard deviation is 2 years, find the 94% confidence interval for the population mean. What is the meaning of this confidence interval?
An agricultural researcher plants 14 plots with a new variety of corn. The average yield for these plots is X = 155 bushels per acre. Assume that the yield per acre for new variety of corn follows a normal distribution with unknown mean and a calculated sample standard deviation s = 10 bushels. A 90% confidence interval for the unknown mean is
10.Past studies showed that maternal diabetes results in obesity, blood pressure,and glucose tolerance complications in the offspring. Following are thearterial blood pressures, in millimetres of mercury (mm Hg), for a randomsample of 16 children of diabetic mothers. The sample mean is ?̅= 85.99 mm Hg and the sample standard deviation is ? = 8.08 mm Hg (a)Obtain a 95% confidence interval for the mean arterial blood pressure of all children of diabetic mothers. (b)Interpret the confidence interval obtained in part (a). (c)Obtain a 90% confidence interval for the mean arterial blood pressure of all children of diabetic mothers.
Noise levels at various area urban hospitals were measured in decibels. The mean of the noise levels in 99 corridors was 61.77 decibels, and the standard deviation of the population was 7.05. Find the upper boundary of the 95% confidence interval of the true mean. Only the final answer should be rounded-off to TWO decimal places.
Suppose that an accounting firm does a study to determine the time needed to complete one person's tax forms. It randomly surveys 200 people. The sample mean is 22.3 hours. There is a known population standard deviation of 7.0 hours. The population distribution is assumed to be normal. Construct a 90% confidence interval for the population mean time to complete the tax forms. (i) State the confidence interval. (Round your answers to two decimal places.) , (ii) Sketch the graph. (Round your answers to two decimal places.) (iii) Calculate the error bound. (Round your answer to two decimal places.)

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