A consumer group claims that the mean minimum time it takes for a sedan to travel a quarter mile is greater than 14.8 seconds. A random sample of 24 sedans has a mean minimum time to travel a quarter mile of 15.5 seconds and a standard deviation of 2.08 seconds. At α=0.10 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. H0: muμ less than or equals≤ 14.814.8 Ha: muμ greater than> 14.814.8 (Type integers or decimals. Do not round.) The claim is the alternative hypothesis. (b) Use technology to find the P-value. Find the standardized test statistic, t. t=1.651.65 (Round to two decimal places as needed.) Obtain the P-value. P=0.0560.056 (Round to three decimal places as needed.) (c) Decide whether to reject or fail to reject the null hypothesis. Reject H0 because the P-value is not greater than α. (d) Interpret the decision in the context of the original claim. There ▼ enough evidence at the enter your response here% level of significance to ▼ rejectreject supportsupport the claim that the mean minimum time it takes for a sedan to travel a quarter mile is ▼ greater than greater than or equal to less than or equal to equal to less than not equal to enter your response here seconds. (Type integers or decimals. Do not round.)

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

A consumer group claims that the mean minimum time it takes for a sedan to travel a quarter mile is greater than

14.8

seconds. A random sample of

sedans has a mean minimum time to travel a quarter mile of

15.5

seconds and a standard deviation of

2.08

seconds. At

α=0.10

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

and

Ha.

H0:	muμ less than or equals≤ 14.814.8
Ha:	muμ greater than> 14.814.8

(Type integers or decimals. Do not round.)

The claim is the

alternative

hypothesis.

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

t=1.651.65

(Round to two decimal places as needed.)

Obtain the P-value.

P=0.0560.056

(Round to three decimal places as needed.)

Reject

because the P-value

is not

greater than

α.

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

There

▼

enough evidence at the

enter your response here%

level of significance to

▼

rejectreject

supportsupport

the claim that the mean minimum time it takes for a sedan to travel a quarter mile is

▼

greater than

greater than or equal to

less than or equal to

equal to

less than

not equal to

enter your response here

seconds.

(Type integers or decimals. Do not round.)

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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