A researcher wanted to determine if carpeted rooms contain more bacteria than uncarpeted rooms. The table shows the results for the number of bacteria per cubic foot for both types of rooms.   Full data set      Carpeted   Uncarpeted 14.214.2 15.415.4 1616 6.46.4 6.76.7 7.97.9 9.79.7 8.38.3 7.57.5 8.38.3 12.412.4 11.911.9 9.99.9 13.613.6   9.59.5 7.67.6   Determine whether carpeted rooms have more bacteria than uncarpeted rooms at the alpha equals 0.05α=0.05 level of significance. Normal probability plots indicate that the data are approximately normal and boxplots indicate that there are no outliers. State the null and alternative hypotheses. Let population 1 be carpeted rooms and population 2 be uncarpeted rooms.     A. Upper H 0H0​: mu 1 less than mu 2μ1<μ2 Upper H 1H1​: mu 1 greater than mu 2μ1>μ2   B. Upper H 0H0​: mu 1 equals mu 2μ1=μ2 Upper H 1H1​: mu 1 greater than mu 2μ1>μ2 Your answer is correct.   C. Upper H 0H0​: mu 1 equals mu 2μ1=μ2 Upper H 1H1​: mu 1 less than mu 2μ1<μ2   D. Upper H 0H0​: mu 1 equals mu 2μ1=μ2 Upper H 1H1​: mu 1 not equals mu 2μ1≠μ2 Determine the​ P-value for this hypothesis test.   ​P-valueequals=nothing ​(Round to three decimal places as​ needed.)

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
Topic Video
Question
A researcher wanted to determine if carpeted rooms contain more bacteria than uncarpeted rooms. The table shows the results for the number of bacteria per cubic foot for both types of rooms.
 
Full data set   
 
Carpeted
 
Uncarpeted
14.214.2
15.415.4
1616
6.46.4
6.76.7
7.97.9
9.79.7
8.38.3
7.57.5
8.38.3
12.412.4
11.911.9
9.99.9
13.613.6
 
9.59.5
7.67.6
 
Determine whether carpeted rooms have more bacteria than uncarpeted rooms at the
alpha equals 0.05α=0.05
level of significance. Normal probability plots indicate that the data are approximately normal and boxplots indicate that there are no outliers.
State the null and alternative hypotheses. Let population 1 be carpeted rooms and population 2 be uncarpeted rooms.
 
 
A.
Upper H 0H0​:
mu 1 less than mu 2μ1<μ2
Upper H 1H1​:
mu 1 greater than mu 2μ1>μ2
 
B.
Upper H 0H0​:
mu 1 equals mu 2μ1=μ2
Upper H 1H1​:
mu 1 greater than mu 2μ1>μ2
Your answer is correct.
 
C.
Upper H 0H0​:
mu 1 equals mu 2μ1=μ2
Upper H 1H1​:
mu 1 less than mu 2μ1<μ2
 
D.
Upper H 0H0​:
mu 1 equals mu 2μ1=μ2
Upper H 1H1​:
mu 1 not equals mu 2μ1≠μ2
Determine the​ P-value for this hypothesis test.
 
​P-valueequals=nothing
​(Round to three decimal places as​ needed.)
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps with 2 images

Blurred answer
Knowledge Booster
Hypothesis Tests and Confidence Intervals for Means
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