Suppose a study reported that the average person watched 5.71 hours of television per day. A random sample of 15 people ga the number of hours of television watched per day shown. At the 1% significance level, do the data provide sufficient evidence conclude that the amount of television watched per day last year by the average person differed from the value reported in the study? (Note: x = 4.573 hours and s = 1.233 hours.) ..... Set up the hypotheses for the one-mean t-test. Ho:H = 5.71 5.71 The test statistic is t= (Round to two 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
Question
**Hypothesis Testing for Average Television Watch Time**

A study reported that the average person watched 5.71 hours of television per day. A random sample of 15 people provided the following data for the number of hours of television watched per day:

- Data: 4.2, 5.5, 2.1, 5.9, 4.4, 4.4, 3.8, 5.6, 2.4, 5.8, 6.0, 4.3, 3.5, 5.3, 5.4

We are tasked with determining if this sample provides sufficient evidence, at the 1% significance level, to conclude that the average television watch time last year differed from the reported 5.71 hours.

**Sample Statistics:**

- Sample Mean (\(\bar{x}\)): 4.573 hours
- Sample Standard Deviation (s): 1.233 hours

**Set Up the Hypotheses for a One-Mean T-Test:**

- Null Hypothesis (\(H_0\)): \(\mu = 5.71\)
- Alternative Hypothesis (\(H_a\)): \(\mu \neq 5.71\)

**Test Statistic Calculation:**

The test statistic \(t\) needs to be calculated and rounded to two decimal places.

This setup is used to determine if the sample mean significantly differs from the population mean at the specified significance level.
Transcribed Image Text:**Hypothesis Testing for Average Television Watch Time** A study reported that the average person watched 5.71 hours of television per day. A random sample of 15 people provided the following data for the number of hours of television watched per day: - Data: 4.2, 5.5, 2.1, 5.9, 4.4, 4.4, 3.8, 5.6, 2.4, 5.8, 6.0, 4.3, 3.5, 5.3, 5.4 We are tasked with determining if this sample provides sufficient evidence, at the 1% significance level, to conclude that the average television watch time last year differed from the reported 5.71 hours. **Sample Statistics:** - Sample Mean (\(\bar{x}\)): 4.573 hours - Sample Standard Deviation (s): 1.233 hours **Set Up the Hypotheses for a One-Mean T-Test:** - Null Hypothesis (\(H_0\)): \(\mu = 5.71\) - Alternative Hypothesis (\(H_a\)): \(\mu \neq 5.71\) **Test Statistic Calculation:** The test statistic \(t\) needs to be calculated and rounded to two decimal places. This setup is used to determine if the sample mean significantly differs from the population mean at the specified significance level.
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
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