Question 5: a car manufacturer produces a new engine with an advertised horsepower of 350 with a standard deviation of of 15 horsepower.. A car manufacturer produces a new engine with an advertised horsepower of 350 with a standard deviation of 15 horsepower. The manufacturer tests ten engines off the assembly to determine if the average horsepower is operating at specification. The ten engines have an average horsepower of 355 with a standard deviation of 15 horsepower. Determine a 95% confidence interval for the average horsepower of all engines produced by the manufacturer.- (354.69, 355.31)- (344.27, 365.73)- (345.70, 364.30)- Engine horsepower is not normally distributed so we cannot compute a confidence interval

Answered: A car manufacturer produces a new…

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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Question 5: a car manufacturer produces a new engine with an advertised horsepower of 350 with a standard deviation of of 15 horsepower..

A car manufacturer produces a new engine with an advertised horsepower of 350 with a standard deviation of 15 horsepower. The manufacturer tests ten engines off the assembly to determine if the average horsepower is operating at specification. The ten engines have an average horsepower of 355 with a standard deviation of 15 horsepower. Determine a 95% confidence interval for the average horsepower of all engines produced by the manufacturer.

- (354.69, 355.31)
- (344.27, 365.73)
- (345.70, 364.30)
- Engine horsepower is not normally distributed so we cannot compute a confidence interval

Expert Solution

Step 1

A confidence interval gives a range of values for the unknown parameter of the population. The width of the confidence interval increases with an increase in confidence level.

The t-distribution is a distribution similar to normal distribution but having heaver tails. The t-distribution is used when the population standard deviation is unknown or the sample size is less than 30.