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?

Note:- "Since you have posted a question with multiple sub parts, we will provide the solution only…

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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What is a confidence interval in statistics?
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 ?
A camp director is interested in the mean number of letters each child sends during his or her camp session. A survey of 25 campers is taken. The mean from the sample is 7.9 with a sample standard deviation of 2.8. (Please show all formulas, calculations and the curve) (a) Find a 95% confidence interval for the mean number of letters each child sends during the camp session. Interpret this confidence intervals. (b) Suppose that the population standard deviation of 3 is given. If you wanted to estimate the mean number of letters each child sends during the camp session with 90% confidence, and a margin of error of 0.25, how large a sample would you need?
A random sample of 16 employees taken from the management level of the company gives a mean monthly salary of $17,000 with a standard deviation of $5500. (a) Calculate the 99% confidence interval for the population mean of management level employees? (b) Write an interpretation for the interval. (c) How much wider/narrower will the 98% confidence interval be?
An farmer is convinced that the weighing instrument for palay had a variability measured by standard deviation equal to 2. He recorded the measurements 4.1, 6.5, 5.2 and 10.2. Do these data confirm or disprove his assertion? Use a 95% confidence level.
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
Suppose we have only ten scores representing the ages (in years) of randomly selected U.S. commercial aircraft. The average age of the ten aircraft is 14.25 years and the sample standard deviation is 9.349 years. Construct a 95% confidence interval for the mean age of all U.S. commercial aircraft. I would appreciate to see what formulas you use and the work through because I messed up.
A study by the department of education of a certain state was trying to determine the mean SAT scores of the graduating high school seniors. The study examined the scores of a random sample of 190 graduating seniors and found the mean score to be 520 with a standard deviation of 87. Determine a 95% confidence interval for the mean, rounding all values to the nearest tenth.

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