A scientist estimates that the mean nitrogen dioxide level in a city is greater than 31 parts per billion. To test this estimate, you determine the nitrogen dioxide levels for 31 randomly selected days. The results (in parts per billion) are listed to the right. Assume that the population standard deviation is 7. At a=0.01, can you support the s Complete parts (e). Com (a) Write the claim mathematically and identify Ho and H₂. Choose from the following. OA. Ho: H=31 OB. Ho: 531 H₂: > 31 (claim) Ha: 31 (claim) OC. Ho: 31 (claim) H₂>31 OD. Ho: us31 (claim) OE. Ho: 231 (claim) OF. Ho: <31 H₂: H> 31 H₂H<31 H₂:231 (claim) (b) Find the critical value and identify the rejection region. Zo" (Round to two decimal places needed.) Rejection region: z (c) Find the standardized test statistic. z=(Round to two decimal places as needed.) or fail to relect the pull hupothari 21 43 40 28 19 28 36 14 19 40 44 36 25 27 16 30 40 42 23 17 35 25 34 32 38 30 32 19 24 25 28
A scientist estimates that the mean nitrogen dioxide level in a city is greater than 31 parts per billion. To test this estimate, you determine the nitrogen dioxide levels for 31 randomly selected days. The results (in parts per billion) are listed to the right. Assume that the population standard deviation is 7. At a=0.01, can you support the s Complete parts (e). Com (a) Write the claim mathematically and identify Ho and H₂. Choose from the following. OA. Ho: H=31 OB. Ho: 531 H₂: > 31 (claim) Ha: 31 (claim) OC. Ho: 31 (claim) H₂>31 OD. Ho: us31 (claim) OE. Ho: 231 (claim) OF. Ho: <31 H₂: H> 31 H₂H<31 H₂:231 (claim) (b) Find the critical value and identify the rejection region. Zo" (Round to two decimal places needed.) Rejection region: z (c) Find the standardized test statistic. z=(Round to two decimal places as needed.) or fail to relect the pull hupothari 21 43 40 28 19 28 36 14 19 40 44 36 25 27 16 30 40 42 23 17 35 25 34 32 38 30 32 19 24 25 28
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question

Transcribed Image Text:A scientist estimates that the mean nitrogen dioxide level in a city is greater than 31 parts per billion. To test this estimate, you determine the nitrogen dioxide levels for 31 randomly selected days. The results (in parts per billion) are listed to the right. Assume that the population standard deviation is 7. At
α = 0.01, can you support the scientist's estimate? Complete parts (a) through (e).
C
(a) Write the claim mathematically and identify Ho and H₂. Choose from the following.
OA. Ho: H=31
OB. Ho: μ≤31
Ha: μ>31 (claim)
Ha: μ> 31 (claim)
O C. Ho: μ=31 (claim)
Ha: μ>31
OF. Ho: <31
O D. Ho: ≤31 (claim)
O E. Ho: 231 (claim)
H₂:μ>31
H₂: μ<31
Ha: μ231 (claim)
(b) Find the critical value and identify the rejection region.
Zo =
(Round to two decimal places as needed.)
Rejection region: z
(c) Find the standardized test statistic.
z =
(Round to two decimal places as needed.)
(d) Decide whether to reject or fail to reject the null hypothesis.
O Fail to reject Ho
O Reject Ho
(e) Interpret the decision in the context of the original claim.
At the 1% significance level, there
enough evidence to
the scientist's claim that the mean nitrogen dioxide level in the city is greater than 31 parts per billion.
e
21 43 40 28 19 28 36 14 19 40 44
36 25 27 16 30 40 42 23 17 35 25
34 32 38 30 32 19 24 25 28
Expert Solution

This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 4 steps with 1 images

Recommended textbooks for you

MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc

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
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning

MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc

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
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning

Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON

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
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman