Suppose the mean height of women age 20 years or older in a certain country is 62.7 inches. One hundred randomly selected women in a certain city had a mean height of 62.4 inches. At the 5​% significance​ level, do the data provide sufficient evidence to conclude that the mean height of women in the city differs from the national​ mean? Assume that the population standard deviation of the heights of women in the city is 4.2 inches. Set up the hypotheses for the​ one-mean z-test. The​ P-value is (Do not reject, Reject) the null hypothesis. The data (do not provide, provide) sufficient evidence to conclude that the average height of women in the city is (different from, the same as, greater than, less than) the average height of women in the country.

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
100%

Suppose the mean height of women age 20 years or older in a certain country is 62.7 inches. One hundred randomly selected women in a certain city had a mean height of 62.4 inches. At the 5​% significance​ level, do the data provide sufficient evidence to conclude that the mean height of women in the city differs from the national​ mean? Assume that the population standard deviation of the heights of women in the city is 4.2 inches.

Set up the hypotheses for the​ one-mean z-test.

The​ P-value is

(Do not reject, Reject) the null hypothesis. The data (do not provide, provide) sufficient evidence to conclude that the average height of women in the city is (different from,
the same as, greater than, less than) the average height of women in the country.
 
Please show work
Suppose the mean height of women age 20 years or older in a certain country is 62.7 inches. One hundred randomly selected women in a certain city had a mean
height of 62.4 inches. At the 5% significance level, do the data provide sufficient evidence to conclude that the mean height of women in the city differs from the national
mean? Assume that the population standard deviation of the heights of women in the city is 4.2 inches.
Set up the hypotheses for the one-mean z-test.
Ho: H
Ha: H
The test statistic is z=
(Round to two decimal places as needed.)
The P-value is
(Round to four decimal places as needed.)
V the null hypothesis. The data
V sufficient evidence to conclude that the average height of women in the city is
V the average
height of women in the country.
Transcribed Image Text:Suppose the mean height of women age 20 years or older in a certain country is 62.7 inches. One hundred randomly selected women in a certain city had a mean height of 62.4 inches. At the 5% significance level, do the data provide sufficient evidence to conclude that the mean height of women in the city differs from the national mean? Assume that the population standard deviation of the heights of women in the city is 4.2 inches. Set up the hypotheses for the one-mean z-test. Ho: H Ha: H The test statistic is z= (Round to two decimal places as needed.) The P-value is (Round to four decimal places as needed.) V the null hypothesis. The data V sufficient evidence to conclude that the average height of women in the city is V the average height of women in the country.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 1 images

Blurred answer
Knowledge Booster
Point Estimation, Limit Theorems, Approximations, and Bounds
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.
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