Homework Help is Here – Start Your Trial Now!
Math
Statistics
Name Show all your work Section 10.3 In 2004, the mean monthly cell phone bill was $50.44. A researcher thinks the cell phon is lower today. After using a sample of size of 61 bills, she found a sample mean bill of $ with a sample standard deviation of $1.34. Is there enough evidence to conclude the bill lower today if she wants to test her claim at a level of significance of 1%? a) State the null hypothesis: b) State the alternative hypothesis: c) Verify that the test statistic is t = -2.564 d) Find the critical value and draw the rejection region.

Name Show all your work Section 10.3 In 2004, the mean monthly cell phone bill was $50.44. A researcher thinks the cell phon is lower today. After using a sample of size of 61 bills, she found a sample mean bill of $ with a sample standard deviation of $1.34. Is there enough evidence to conclude the bill lower today if she wants to test her claim at a level of significance of 1%? a) State the null hypothesis: b) State the alternative hypothesis: c) Verify that the test statistic is t = -2.564 d) Find the critical value and draw the rejection region.

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
See similar textbooks
icon
Related questions
Question

Please answer the following questions. 

**Educational Website Exercise: Hypothesis Testing** --- **Section 10.3** In 2004, the mean monthly cell phone bill was $50.44. A researcher thinks the cell phone bill is lower today. After using a sample of size 61 bills, she found a sample mean bill of $50 with a sample standard deviation of $1.34. Is there enough evidence to conclude the bill is lower today if she wants to test her claim at a level of significance of 1%? a) **State the null hypothesis:** b) **State the alternative hypothesis:** c) **Verify that the test statistic is t = -2.564** d) **Find the critical value and draw the rejection region.** e) **Can you reject the null hypothesis?** --- *Instructions:* - Ensure you understand the concepts of null and alternative hypotheses. - Calculate using the provided values to verify the test statistic. - Determine the critical value for a 1% significance level and use it to assess the rejection region. - Conclude whether to reject the null hypothesis based on the calculated test statistic and critical value. *Note:* This exercise involves understanding the process of testing hypotheses using a t-test.
Transcribed Image Text:**Educational Website Exercise: Hypothesis Testing** --- **Section 10.3** In 2004, the mean monthly cell phone bill was $50.44. A researcher thinks the cell phone bill is lower today. After using a sample of size 61 bills, she found a sample mean bill of $50 with a sample standard deviation of $1.34. Is there enough evidence to conclude the bill is lower today if she wants to test her claim at a level of significance of 1%? a) **State the null hypothesis:** b) **State the alternative hypothesis:** c) **Verify that the test statistic is t = -2.564** d) **Find the critical value and draw the rejection region.** e) **Can you reject the null hypothesis?** --- *Instructions:* - Ensure you understand the concepts of null and alternative hypotheses. - Calculate using the provided values to verify the test statistic. - Determine the critical value for a 1% significance level and use it to assess the rejection region. - Conclude whether to reject the null hypothesis based on the calculated test statistic and critical value. *Note:* This exercise involves understanding the process of testing hypotheses using a t-test.
Expert Solution
steps

Step by step

Solved in 2 steps with 1 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
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
SEE MORE TEXTBOOKS