Answered: A consumer group claims that the mean…

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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A consumer group claims that the mean minimum time it takes for a sedan to travel a quarter mile is greater than 14.8seconds. A random sample of 22 sedans has a mean minimum time to travel a quarter mile of 15.3 seconds and a standard deviation of 2.12 seconds. At α=0.05 is there enough evidence to support the consumer group's claim? Complete parts (a) through (d) below. Assume the population is normally distributed.

(a) Identify the claim and state H0 and Ha.

(b) use technology to find the P value. Find the standardized test statistic, t.

t=______

Obtain the P value

P=_______

(c)Decide whether to reject or fail to reject the null hypothesis:

(d) Interpret the decision in the context of the original claim:

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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