Homework Help is Here – Start Your Trial Now!
Math
Statistics
To test Ho: µ = 20 versus H,: µ< 20, a simple random sample of size n= 17 is obtained from a population that is known to be normally distributed. Answer parts (a)-(d). 1 Click here to view the t-Distribution Area in Right Tail. (a) If x = 18.1 and s = 4.1, compute the test statistic. t = (Round to two decimal places as needed.) (b) Draw a t-distribution with the area that represents the P-value shaded. Which of the following graphs shows the correct shaded region? A. О в.

To test Ho: µ = 20 versus H,: µ< 20, a simple random sample of size n= 17 is obtained from a population that is known to be normally distributed. Answer parts (a)-(d). 1 Click here to view the t-Distribution Area in Right Tail. (a) If x = 18.1 and s = 4.1, compute the test statistic. t = (Round to two decimal places as needed.) (b) Draw a t-distribution with the area that represents the P-value shaded. Which of the following graphs shows the correct shaded region? A. О в.

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
To test \( H_0: \mu = 20 \) versus \( H_1: \mu < 20 \), a simple random sample of size \( n = 17 \) is obtained from a population that is known to be normally distributed. Answer parts (a)-(d). 1. Click here to view the t-Distribution Area in Right Tail. (a) If \( \bar{x} = 18.1 \) and \( s = 4.1 \), compute the test statistic. \( t = \_\_\_\_\_\_ \) (Round to two decimal places as needed.) (b) Draw a t-distribution with the area that represents the P-value shaded. Which of the following graphs shows the correct shaded region? - Option A: Graph shows a left-skewed area shaded. - Option B: Graph shows a right-skewed area shaded. (c) Approximate the P-value. Choose the correct range for the P-value below. - Option A: \( 0.05 < \text{P-value} < 0.10 \) - Option B: \( 0.15 < \text{P-value} < 0.20 \) - Option C: \( 0.025 < \text{P-value} < 0.05 \) - Option D: \( 0.10 < \text{P-value} < 0.15 \) (d) If the researcher decides to test this hypothesis at the \( \alpha = 0.05 \) level of significance, will the researcher reject the null hypothesis? - Option A: The researcher will not reject the null hypothesis since the P-value is less than \( \alpha \). - Option B: The researcher will reject the null hypothesis since the P-value is not less than \( \alpha \). - Option C: The researcher will not reject the null hypothesis since the P-value is not less than \( \alpha \). - Option D: The researcher will reject the null hypothesis since the P-value is less than \( \alpha \).
Transcribed Image Text:To test \( H_0: \mu = 20 \) versus \( H_1: \mu < 20 \), a simple random sample of size \( n = 17 \) is obtained from a population that is known to be normally distributed. Answer parts (a)-(d). 1. Click here to view the t-Distribution Area in Right Tail. (a) If \( \bar{x} = 18.1 \) and \( s = 4.1 \), compute the test statistic. \( t = \_\_\_\_\_\_ \) (Round to two decimal places as needed.) (b) Draw a t-distribution with the area that represents the P-value shaded. Which of the following graphs shows the correct shaded region? - Option A: Graph shows a left-skewed area shaded. - Option B: Graph shows a right-skewed area shaded. (c) Approximate the P-value. Choose the correct range for the P-value below. - Option A: \( 0.05 < \text{P-value} < 0.10 \) - Option B: \( 0.15 < \text{P-value} < 0.20 \) - Option C: \( 0.025 < \text{P-value} < 0.05 \) - Option D: \( 0.10 < \text{P-value} < 0.15 \) (d) If the researcher decides to test this hypothesis at the \( \alpha = 0.05 \) level of significance, will the researcher reject the null hypothesis? - Option A: The researcher will not reject the null hypothesis since the P-value is less than \( \alpha \). - Option B: The researcher will reject the null hypothesis since the P-value is not less than \( \alpha \). - Option C: The researcher will not reject the null hypothesis since the P-value is not less than \( \alpha \). - Option D: The researcher will reject the null hypothesis since the P-value is less than \( \alpha \).
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

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