Test a claim that the mean amount of lead in the air in U.S, cites is less than 0.087 microgram per cubic meter. it was found that the mean amount of lead in the air for the random sample of 58 US, ottes is OCSS microgram per cubic meter and the standard deviation is 0.068 microgram per cudie meter. At a = 0. 10, can the claim be supported? Complete parts (a) through (e) below. Assume the population is nomally distributed.​(b) Find the critical​ value(s) and identify the rejection​ region(s). The critical​ value(s) is/are t0=______(Use a comma to separate answers as needed. Round to two decimal places as​ needed.) (c) Find the standardized test​ statistic, t. The standardized test statistic is t=​______(Round to two decimal places as​ needed.) (d) Decide whether to reject or fail to reject the null hypothesis. (Reject ,Fail to reject)_____H0 because the standardized test statistic_______(is ,is not), in the rejection region.​

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
Test a claim that the mean amount of lead in the air in U.S, cites is less than 0.087 microgram per cubic meter. it was found that the mean amount of lead in the air for the random sample of 58 US, ottes is OCSS microgram per cubic meter and the standard deviation is 0.068 microgram per cudie meter. At a = 0. 10, can the claim be supported? Complete parts (a) through (e) below. Assume the population is nomally distributed. ​(b) Find the critical​ value(s) and identify the rejection​ region(s). The critical​ value(s) is/are t0=______(Use a comma to separate answers as needed. Round to two decimal places as​ needed.) (c) Find the standardized test​ statistic, t. The standardized test statistic is t=​______(Round to two decimal places as​ needed.) (d) Decide whether to reject or fail to reject the null hypothesis. (Reject ,Fail to reject)_____H0 because the standardized test statistic_______(is ,is not), in the rejection region. ​(e) Interpret the decision in the context of the original claim. There______(is, is not), enough evidence at the ___ ​% level of significance to ____(reject, support) the claim that the mean amount of lead in the air in U.S. cities is _______( less than, greater than or equal, equal, not equal, less than or equal, greater than) ____​(Type integers or decimals. Do not​ round.) microgram per cubic meter.
←
Test a claim that the mean amount of lead in the air in U.S. cities is less than 0.037 microgram per cubic
meter. It was found that the mean amount of lead in the air for the random sample of 58 U.S. cities is 0.038
microgram per cubic meter and the standard deviation is 0.068 microgram per cubic meter. At a = 0.10, can
the claim be supported? Complete parts (a) through (e) below. Assume the population is normally
distributed.
(a) Identify the claim and state Ho and Ha
Ho
≥ 0.037
H₂: H < 0.037
(Type integers or decimals. Do not round.)
The claim is the alternative hypothesis.
(b) Find the critical value(s) and identify the rejection region(s).
The critical value(s) is/are to =.
(Use a comma to separate answers as needed. Round to two decimal places as needed.)
ew an example Get more help.
Clear all
Check answer
Transcribed Image Text:← Test a claim that the mean amount of lead in the air in U.S. cities is less than 0.037 microgram per cubic meter. It was found that the mean amount of lead in the air for the random sample of 58 U.S. cities is 0.038 microgram per cubic meter and the standard deviation is 0.068 microgram per cubic meter. At a = 0.10, can the claim be supported? Complete parts (a) through (e) below. Assume the population is normally distributed. (a) Identify the claim and state Ho and Ha Ho ≥ 0.037 H₂: H < 0.037 (Type integers or decimals. Do not round.) The claim is the alternative hypothesis. (b) Find the critical value(s) and identify the rejection region(s). The critical value(s) is/are to =. (Use a comma to separate answers as needed. Round to two decimal places as needed.) ew an example Get more help. Clear all Check answer
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 6 steps with 11 images

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