A metropolitan transportation authority has set a bus mechanical reliability goal of 3,900 bus miles. Bus mechanical reliability is measured specifically as the number of bus miles between mechanical road calls. Suppose a sample of 100 buses resulted in a sample mean of 3,950 bus miles and a sample standard deviation of 225 bus miles.   Determine the​ p-value and interpret its meaning.   The​ p-value is ________ ​(Round to three decimal places as​ needed.)       A. The​ p-value is the probability of getting a sample mean of 3,950 bus miles or greater if the actual mean is 3,900 bus miles.   B. The​ p-value is the probability that the actual mean is 3,950 bus miles or less.   C. The​ p-value is the probability that the actual mean is greater than 3,950 bus miles.   D. The​ p-value is the probability that the actual mean is 3,900 bus miles or greater given the sample mean is 3,950 bus miles.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 26PFA
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A metropolitan transportation authority has set a bus mechanical reliability goal of 3,900 bus miles. Bus mechanical reliability is measured specifically as the number of bus miles between mechanical road calls. Suppose a sample of 100 buses resulted in a sample mean of 3,950 bus miles and a sample standard deviation of 225 bus miles.

 

Determine the​ p-value and interpret its meaning.
 
The​ p-value is ________
​(Round to three decimal places as​ needed.)
 
 
 
A. The​ p-value is the probability of getting a sample mean of
3,950 bus miles or greater if the actual mean is 3,900 bus miles.
 
B. The​ p-value is the probability that the actual mean is
3,950 bus miles or less.
 
C. The​ p-value is the probability that the actual mean is greater than
3,950 bus miles.
 
D. The​ p-value is the probability that the actual mean is
3,900 bus miles or greater given the sample mean is 3,950 bus miles.
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