Question Help ▼ Summary statistics for the scores of the 27 students who completed a Dental Anxiety Scale questionnaire are x= 10.5 and s= 3.3, Scores range from 0 (no anxiety) to 20 (extreme anxiety). Conduct a test of hypothesis to determine whether the mean Dental Anxiety Scale score for the population of college students differs from u = 11. Use a = 0.05. State the null and alternative hypotheses. Choose the correct answer below. YA. Ho: H= 11 versus H: u 11 O B. Ho: H# 11 versus H: u=11 O C. Ho: H= 11 versus Ho: u>11 The test statistic for this small-sample test of a population mean is -0.79. (Round to two decimal places as needed.) Find the rejection region. Choose the correct answer below. O A. t> - 2.056 and t<2.056 O B. t< -2.056 OC. t>2.056 O D. t< -2.056 or t>2.06

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
**Hypothesis Testing in Dental Anxiety Scale**

Summary statistics for the scores of 27 students who completed a Dental Anxiety Scale questionnaire are as follows: the mean score (\(\bar{x}\)) is 10.5, and the standard deviation (s) is 3.3. Scores range from 0 (no anxiety) to 20 (extreme anxiety). Conduct a hypothesis test to determine whether the mean Dental Anxiety Scale score for the population of college students differs from \(\mu = 11\). Use \(\alpha = 0.05\).

**State the Null and Alternative Hypotheses:**
Select the correct answer below.

A. \(H_0\): \(\mu = 11\) versus \(H_a\): \(\mu \neq 11\)

B. \(H_0\): \(\mu \neq 11\) versus \(H_a\): \(\mu = 11\)

C. \(H_0\): \(\mu = 11\) versus \(H_a\): \(\mu > 11\)

*Correct Answer: A. \(H_0\): \(\mu = 11\) versus \(H_a\): \(\mu \neq 11\)*

**Test Statistic:**
The test statistic for this small-sample test of a population mean is 
\[ t = \frac{\bar{x} - \mu}{s/\sqrt{n}} = 0.79 \]
(Round to two decimal places as needed.)

**Rejection Region:**
Choose the correct answer below.

A. \( t > -2.056 \text{ and } t < 2.056 \)

B. \( t < -2.056 \)

C. \( t > 2.056 \)

D. \( t < -2.056 \text{ or } t > 2.056 \)

*Correct Answer: D. \( t < -2.056 \text{ or } t > 2.056 \)*
Transcribed Image Text:**Hypothesis Testing in Dental Anxiety Scale** Summary statistics for the scores of 27 students who completed a Dental Anxiety Scale questionnaire are as follows: the mean score (\(\bar{x}\)) is 10.5, and the standard deviation (s) is 3.3. Scores range from 0 (no anxiety) to 20 (extreme anxiety). Conduct a hypothesis test to determine whether the mean Dental Anxiety Scale score for the population of college students differs from \(\mu = 11\). Use \(\alpha = 0.05\). **State the Null and Alternative Hypotheses:** Select the correct answer below. A. \(H_0\): \(\mu = 11\) versus \(H_a\): \(\mu \neq 11\) B. \(H_0\): \(\mu \neq 11\) versus \(H_a\): \(\mu = 11\) C. \(H_0\): \(\mu = 11\) versus \(H_a\): \(\mu > 11\) *Correct Answer: A. \(H_0\): \(\mu = 11\) versus \(H_a\): \(\mu \neq 11\)* **Test Statistic:** The test statistic for this small-sample test of a population mean is \[ t = \frac{\bar{x} - \mu}{s/\sqrt{n}} = 0.79 \] (Round to two decimal places as needed.) **Rejection Region:** Choose the correct answer below. A. \( t > -2.056 \text{ and } t < 2.056 \) B. \( t < -2.056 \) C. \( t > 2.056 \) D. \( t < -2.056 \text{ or } t > 2.056 \) *Correct Answer: D. \( t < -2.056 \text{ or } t > 2.056 \)*
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 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