Homework Help is Here – Start Your Trial Now!
Math
Statistics
Testing: Ho: μ > 44.7 H:μ < 44.7 Your sample consists of 38 values, with a sample mean of 44.2. Suppose the population standard deviation is known to be 1.23. a) Calculate the value of the test statistic, rounded to 2 decimal places. 2 = b) At a = 0.08, the rejection region is Oz -1.75 or z > 1.75 Oz < -1.41 Oz> 1.41 Oz > 1.75 Oz < -1.75 Oz -1.41 or z > 1.41 c) The decision is to O Reject the null hypothesis Accept the alternative hypotheis O Fail to reject the null hypothesis O Accept the null hypothesis d) Suppose you mistakenly rejected the null hypothesis in this problem, what type of error is that? O Type I O Type II

Testing: Ho: μ > 44.7 H:μ < 44.7 Your sample consists of 38 values, with a sample mean of 44.2. Suppose the population standard deviation is known to be 1.23. a) Calculate the value of the test statistic, rounded to 2 decimal places. 2 = b) At a = 0.08, the rejection region is Oz -1.75 or z > 1.75 Oz < -1.41 Oz> 1.41 Oz > 1.75 Oz < -1.75 Oz -1.41 or z > 1.41 c) The decision is to O Reject the null hypothesis Accept the alternative hypotheis O Fail to reject the null hypothesis O Accept the null hypothesis d) Suppose you mistakenly rejected the null hypothesis in this problem, what type of error is that? O Type I O Type II

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

2.)

**Testing:** \( H_0: \mu \ge 44.7 \) \( H_1: \mu < 44.7 \) Your sample consists of 38 values, with a sample mean of 44.2. Suppose the population standard deviation is known to be 1.23. a) Calculate the value of the test statistic, rounded to 2 decimal places. \( z = \_\_\_\_\_ \) b) At \( \alpha = 0.08 \), the rejection region is - \( z < -1.75 \) or \( z > 1.75 \) - \( z < -1.41 \) - \( z > 1.41 \) - \( z > 1.75 \) - \( z < -1.75 \) - \( z < -1.41 \) or \( z > 1.41 \) c) The decision is to - Reject the null hypothesis - Accept the alternative hypothesis - Fail to reject the null hypothesis - Accept the null hypothesis d) Suppose you mistakenly rejected the null hypothesis in this problem, what type of error is that? - Type I - Type II
Transcribed Image Text:**Testing:** \( H_0: \mu \ge 44.7 \) \( H_1: \mu < 44.7 \) Your sample consists of 38 values, with a sample mean of 44.2. Suppose the population standard deviation is known to be 1.23. a) Calculate the value of the test statistic, rounded to 2 decimal places. \( z = \_\_\_\_\_ \) b) At \( \alpha = 0.08 \), the rejection region is - \( z < -1.75 \) or \( z > 1.75 \) - \( z < -1.41 \) - \( z > 1.41 \) - \( z > 1.75 \) - \( z < -1.75 \) - \( z < -1.41 \) or \( z > 1.41 \) c) The decision is to - Reject the null hypothesis - Accept the alternative hypothesis - Fail to reject the null hypothesis - Accept the null hypothesis d) Suppose you mistakenly rejected the null hypothesis in this problem, what type of error is that? - Type I - Type II
Expert Solution
Step 1

Statistics homework question answer, step 1, image 1

steps

Step by step

Solved in 3 steps with 3 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