Answered: The researcher tries to understand the…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Related questions

Question

The researcher tries to understand the duration of guarantee time that a computer company is logical or not. Past records show time duration of guarantee has a normal distribution with mean 2 years and standard deviation of hundred days. A random sample of 16 computers that need repairmen is examined and mean time of usage is found as two and a half years and standard deviation of 4 months. Assuming that a year is 360 days and a month is 30 days for simplicity. Construct 695 confidence interval for mean life time usage for guarantee for the computer. (use two decimals)

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

Expert Solution

Step 1

$G i v e n, s a m p l e s i z e (n) = 16 s a m p l e m e a n (x) = 2.5 y e a r s = 30 m o n t h s S \tan d a r d d e v i a t i o n (S) = 4 m o n t h s d e g r e e s o f f r e e d o m (d f) = n - 1 = 16 - 1 = 15 α = 1 - 0.95 = 0.05 \frac{α}{2} = 0.025 t_{0.025} (15) = 2.131 (f r o m t - t a b l e)$