waiting time at the​ drive-through of a​ fast-food restaurant from the time an order is placed to the time the order is received is 83.8 seconds. A manager devises a new​ drive-through system that he believes will decrease wait time. As a​ test, he initiates the new system at his restaurant and measures the wait time for 10 randomly selected orders. The wait times are provided in the table to the right. Complete parts​ (a) and​ (b) below.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Question

waiting time at the​ drive-through of a​ fast-food restaurant from the time an order is placed to the time the order is received is

83.8

seconds. A manager devises a new​ drive-through system that

he

believes will decrease wait time. As a​ test,

he

initiates the new system at

his

restaurant and measures the wait time for

10

randomly selected orders. The wait times are provided in the table to the right. Complete parts​ (a) and​ (b) below.

(b) Is the new system effective? Conduct a hypothesis test using the P-value approach and a level of significance of a = 0.01.
First determine the appropriate hypotheses.
Ho: H
= 83.8
* 83.8
Find the test statistic.
to =
(Round to two decimal places as needed.)
Find the P-value.
The P-value is
(Round to three decimal places as needed.)
Use the a = 0.01 level of significance. What can be concluded from the hypothesis test?
O A. The P-value is less than the level of significance so there is not sufficient evidence to conclude the new system is effective.
O B. The P-value is less than the level of significance so there is sufficient evidence to conclude the new system is effective.
O C. The P-value is greater than the level of significance so there is sufficient evidence to conclude the new system is effective.
O D. The P-value is greater than the level of significance so there is not sufficient evidence to conclude the new system is effective.
Transcribed Image Text:(b) Is the new system effective? Conduct a hypothesis test using the P-value approach and a level of significance of a = 0.01. First determine the appropriate hypotheses. Ho: H = 83.8 * 83.8 Find the test statistic. to = (Round to two decimal places as needed.) Find the P-value. The P-value is (Round to three decimal places as needed.) Use the a = 0.01 level of significance. What can be concluded from the hypothesis test? O A. The P-value is less than the level of significance so there is not sufficient evidence to conclude the new system is effective. O B. The P-value is less than the level of significance so there is sufficient evidence to conclude the new system is effective. O C. The P-value is greater than the level of significance so there is sufficient evidence to conclude the new system is effective. O D. The P-value is greater than the level of significance so there is not sufficient evidence to conclude the new system is effective.
105.0
79.2
67.3
96.4
56.8
85.9
74.3
71.1
64.0
80.0
Transcribed Image Text:105.0 79.2 67.3 96.4 56.8 85.9 74.3 71.1 64.0 80.0
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Knowledge Booster
Statistical Quality Control
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Similar questions
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman