You wish to test the following claim (H.) at a significance level of a 0.01. H.:µ = 50.5 Ha:u < 50.5 You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n = 661 with mean I = 49.2 and a %3D standard deviation of s = 9.2. What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic =|-3.71 X What is the p-value for this sample? (Report answer accurate to four decimal places.) p-value =| 0.0002 %3D

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
100%

Keep getting the test statistic wrong.

You wish to test the following claim \((H_a)\) at a significance level of \(\alpha = 0.01\).

\[
H_o: \mu = 50.5
\]
\[
H_a: \mu < 50.5
\]

You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size \(n = 661\) with mean \(\bar{x} = 49.2\) and a standard deviation of \(s = 9.2\).

**What is the test statistic for this sample?**  
(Report answer accurate to three decimal places.)  
test statistic = \(-3.71 \, \text{❌}\)

**What is the p-value for this sample?**  
(Report answer accurate to four decimal places.)  
p-value = \(0.0002 \, \text{✅}\)
Transcribed Image Text:You wish to test the following claim \((H_a)\) at a significance level of \(\alpha = 0.01\). \[ H_o: \mu = 50.5 \] \[ H_a: \mu < 50.5 \] You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size \(n = 661\) with mean \(\bar{x} = 49.2\) and a standard deviation of \(s = 9.2\). **What is the test statistic for this sample?** (Report answer accurate to three decimal places.) test statistic = \(-3.71 \, \text{❌}\) **What is the p-value for this sample?** (Report answer accurate to four decimal places.) p-value = \(0.0002 \, \text{✅}\)
Expert Solution
steps

Step by step

Solved in 3 steps with 1 images

Blurred answer
Knowledge Booster
Data Collection, Sampling Methods, and Bias
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