Answered: To test whether the studded tire…

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

To test whether the studded tire reduces the average braking distance compared to normal tires, the following experiment was performed. Six cars were used and the braking distance was measured with standard tires and studded tires. Other variables such as speed, road condition, etc. was the same in all experiments. The data can be seen below.

Car number	Ordinary tires	Studded tires
1	73	71
2	79	73
3	64	63
4	55	57
5	72	72
6	70	69

The braking distance can be assumed to follow a normal distribution.
owner for this data to test the hypothesis that studded tires reduce the average braking distance compared to normal tires. Use α = 0.05. Present the hypotheses, examine the hypothesis with the appropriate test size and briefly describe your result in words. The following R code may facilitate the calculation:

> regular <-c (73,79,64,55,72,70)
> nagla <-c (71,73,63,57,72,69)
> mean
[1] 68,83333
> mean (nail)
[1] 67.5
> sd (normal)
[1] 8.328665
> sd (nail)
[1] 6.252999
> d <-common-nail
> mean (d)
[1] 1.333333
> sd (d)
[1] 2.658320

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.

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