MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
Bartleby Related Questions Icon

Related questions

Question

Homework help

  • Report the test statistic from the technology​ output, T=
  • What is P Value
  • To state the appropriate​ conclusion, compare the​ P-value to the level of​ significance a
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.

| Carpeted | Uncarpeted |
|----------|------------|
| 7.5      | 4.4        |
| 11.9     | 4.9        |
| 10.9     | 7.4        |
| 15.9     | 11.1       |
| 9.5      | 11.5       |
| 14.7     | 8.9        |
| 11.6     | 7.4        |
| 14.4     | 7.3        |

Determine whether carpeted rooms have more bacteria than uncarpeted rooms at the α = 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. \( H_0: \mu_1 = \mu_2 \)
  \( H_1: \mu_1 < \mu_2 \)

- B. \( H_0: \mu_1 < \mu_2 \)
  \( H_1: \mu_1 > \mu_2 \)

- C. \( H_0: \mu_1 = \mu_2 \)
  \( H_1: \mu_1 > \mu_2 \) ✔

- D. \( H_0: \mu_1 = \mu_2 \)
  \( H_1: \mu_1 \ne \mu_2 \)

Determine the P-value for this hypothesis test.
expand button
Transcribed Image Text: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. | Carpeted | Uncarpeted | |----------|------------| | 7.5 | 4.4 | | 11.9 | 4.9 | | 10.9 | 7.4 | | 15.9 | 11.1 | | 9.5 | 11.5 | | 14.7 | 8.9 | | 11.6 | 7.4 | | 14.4 | 7.3 | Determine whether carpeted rooms have more bacteria than uncarpeted rooms at the α = 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. \( H_0: \mu_1 = \mu_2 \) \( H_1: \mu_1 < \mu_2 \) - B. \( H_0: \mu_1 < \mu_2 \) \( H_1: \mu_1 > \mu_2 \) - C. \( H_0: \mu_1 = \mu_2 \) \( H_1: \mu_1 > \mu_2 \) ✔ - D. \( H_0: \mu_1 = \mu_2 \) \( H_1: \mu_1 \ne \mu_2 \) Determine the P-value for this hypothesis test.
Expert Solution
Check Mark
Knowledge Booster
Background pattern image
Similar questions
Recommended textbooks for you
Text book image
MATLAB: An Introduction with Applications
Statistics
ISBN:9781119256830
Author:Amos Gilat
Publisher:John Wiley & Sons Inc
Text book image
Probability and Statistics for Engineering and th...
Statistics
ISBN:9781305251809
Author:Jay L. Devore
Publisher:Cengage Learning
Text book image
Statistics for The Behavioral Sciences (MindTap C...
Statistics
ISBN:9781305504912
Author:Frederick J Gravetter, Larry B. Wallnau
Publisher:Cengage Learning
Text book image
Elementary Statistics: Picturing the World (7th E...
Statistics
ISBN:9780134683416
Author:Ron Larson, Betsy Farber
Publisher:PEARSON
Text book image
The Basic Practice of Statistics
Statistics
ISBN:9781319042578
Author:David S. Moore, William I. Notz, Michael A. Fligner
Publisher:W. H. Freeman
Text book image
Introduction to the Practice of Statistics
Statistics
ISBN:9781319013387
Author:David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:W. H. Freeman