(a) Because the sample size is smal, the manager must verify that the wait time is normally distributed and the sample does not contain any outliers. The normal probability plot is shown below and the sample correlation coefficient is known to ber=0.989. Are the conditions for testing the hypothesis satisfied? the conditions V satisfied. The normal probability plot V linear enough, since the correlation coefficient is V than the critical value. In addition, a boxplot does not show any outliers. AExpected soore 1- 0- 60 90 105 Critical values Time (sec) (b) is the new system effective? Conduct a hypothesis test using the P-value approach and a level of significance of a = 0.1. Sample Size, n Critical Value 0.941 0.944 0.946 First determine the appropriate hypotheses. Sample Size, n Critical Value 0.880 16 Hạ: 85 4 H, 854 0 888 0.898 0.906 0.912 17 18 19 Họ: 8 0.949 20 0.951 0.952 0.954 0.956 0.957 0.959 0.960 10 11 0.918 21 22 Find the test statistic. 12 13 14 0.923 0.928 0.932 23 (Round to two decimal places as needed.) 24 25 0.935 0.939 Find the P-value. 15 30 The P-value is (Round to three decimal places as needed.) Print Done Use the a=0.1 level of significance. What can be concluded from the hypothesis test? O A. The P-value is greater than the level of significance so there is not sufficient evidence to conclude the new system is effective. O B. The Pvalue is less than the level of significance so there is not sufficient evidence to conclude the new system is effective. OC. 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 less than the level of significance so there is sufficient evidence to conclude the new system is effective.

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
icon
Concept explainers
Question
105.1
80.9
The mean 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 85.4 seconds. A manager devises a new drive-through system that she believes will decrease wait time. As a test,
she initiates the new system at her 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.
66.2
56.3
96.6
85.6
73.3
72.2
67.8
86.0
E Click the icon to view the table of correlation coefficient critical values.
(a) Because the sample size is small, the manager must verify that the wait time is normally distributed and the sample does not contain any outliers. The normal probability plot is shown below and the sample correlation coefficient is known to be r= 0.989. Are the conditions for testing the hypothesis
satisfied?
the conditions
satisfied. The normal probability plot
linear enough, since the correlation coefficient is
than the critical value. In addition, a boxplot does not show any outliers.
A Expected z-score
2-
1-
0-
605 90 105
-1-
- X
Critical values
Time (sec)
(b) Is the new system effective? Conduct a hypothesis test using the P-value approach and a level of significance of a = 0.1.
Sample Size, n Critical Value
0.941
0.944
0.946
0.949
Sample Size, n Critical Value
First determine the appropriate hypotheses.
0.880
16
6
0.888
17
Họ:
785.4
0.898
18
H,:
V85.4
8
0.906
19
0.912
0.918
20
0.951
0.952
0.954
0.956
0.957
0.959
0.960
10
21
Find the test statistic.
11
0.923
22
to =|
(Round to two decimal places as needed.)
0.928
0.932
0.935
12
23
13
24
25
30
14
Find the P-value.
15
0.939
The P-value is
(Round to three decimal places as needed.)
Print
Done
Use the a = 0.1 level of significance. What can be concluded from the hypothesis test?
%3D
O A. The P-value is greater 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 not 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 less than the level of significance so there is sufficient evidence to conclude the new system is effective.
Transcribed Image Text:105.1 80.9 The mean 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 85.4 seconds. A manager devises a new drive-through system that she believes will decrease wait time. As a test, she initiates the new system at her 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. 66.2 56.3 96.6 85.6 73.3 72.2 67.8 86.0 E Click the icon to view the table of correlation coefficient critical values. (a) Because the sample size is small, the manager must verify that the wait time is normally distributed and the sample does not contain any outliers. The normal probability plot is shown below and the sample correlation coefficient is known to be r= 0.989. Are the conditions for testing the hypothesis satisfied? the conditions satisfied. The normal probability plot linear enough, since the correlation coefficient is than the critical value. In addition, a boxplot does not show any outliers. A Expected z-score 2- 1- 0- 605 90 105 -1- - X Critical values Time (sec) (b) Is the new system effective? Conduct a hypothesis test using the P-value approach and a level of significance of a = 0.1. Sample Size, n Critical Value 0.941 0.944 0.946 0.949 Sample Size, n Critical Value First determine the appropriate hypotheses. 0.880 16 6 0.888 17 Họ: 785.4 0.898 18 H,: V85.4 8 0.906 19 0.912 0.918 20 0.951 0.952 0.954 0.956 0.957 0.959 0.960 10 21 Find the test statistic. 11 0.923 22 to =| (Round to two decimal places as needed.) 0.928 0.932 0.935 12 23 13 24 25 30 14 Find the P-value. 15 0.939 The P-value is (Round to three decimal places as needed.) Print Done Use the a = 0.1 level of significance. What can be concluded from the hypothesis test? %3D O A. The P-value is greater 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 not 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 less than the level of significance so there is sufficient evidence to conclude the new system is effective.
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
Conditional Probability, Decision Trees, and Bayes' Theorem
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
  • SEE MORE 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