Answered: ar tyres come in many different brands.…

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

Concept explainers

Question

Car tyres come in many different brands. Even on a car, the tyres can wear out after travelling different distances, due to cornering, braking and wheel alignment. Manufacturers of car tyres are interested in the average distance in kilometres travelled by tyres, or the lifetime of tyres until they are considered un-usable and need to be replaced. At this time a tyre is considered un roadworthy.

Transcribed Image Text:b. Brand B of car tyres, have a lifetime which is normally distributed. Records show that 11% of these tyres have a lifetime of more than 61,000 km while 20% become un-usable before travelling 42,500 km. Determine the mean and standard deviation of the lifetime of brand B, giving your answers to the nearest thousand km. c. Consider another brand C of car tyres. From a random sample of 36 car tyres, it has been found that 26 of these car tyres last longer than 40,000 km. Find a 95% confidence interval corresponding to the sample proportion of brand C car tyres which last longer than 40,000 km. Give values correct to three decimal places.

Expert Solution

Step 1

Given:

Let B denote the lifetime for Brand B

P(B > 61000) = 0.11

P (B < 42500) = 0.20

Step by step

Solved in 4 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Differential Equation$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.

Similar questions