Suppose the mean height of women age 20 years or older in a certain country is 62.2 inches. One hundred randomly selected women in a certain city had a mean height of 61.7 inches. At the 1% 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 3.9 inches. Set up the hypotheses for the one-mean z-test. H0: μ = 62.2 Ha: μ ≠ 62.2 Compute the value of the test statistic. z= -1.28 (Round to two decimal places as needed.) Determine the critical value(s). Select the correct choice below and fill in the answer box within your choice. (Round to two decimal places as needed.) A. The critical value is zα=______ B. The critical values are ±zα/2=±2.58 C. The critical value is −zα=_ (Do not reject or reject) the null hypothesis. The data ( does not provide or provide) sufficient evidence to conclude that the average height of women in the city is ___ (the same as, less than, different from or greater 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

See similar textbooks

Related questions

Concept explainers

Question

Suppose the mean height of women age 20 years or older in a certain country is 62.2 inches. One hundred randomly selected women in a certain city had a mean height of 61.7 inches. At the 1% 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 3.9 inches.

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

H0: μ = 62.2
Ha: μ ≠ 62.2

Compute the value of the test statistic.

z= -1.28
(Round to two decimal places as needed.)

Determine the critical value(s). Select the correct choice below and fill in the answer box within your choice. (Round to two decimal places as needed.)

A. The critical value is zα=____________

B. The critical values are ±zα/2=±2.58

C. The critical value is −zα=___________

____________ (Do not reject or reject) the null hypothesis. The data

________________ ( does not provide or provide) sufficient evidence to conclude that the average height of women in the city is ___________ (the same as, less than, different from or greater than) the average height of women in the country.

Expert Solution

Trending now

This is a popular solution!

Step by step

Solved in 3 steps

SEE SOLUTION Check out a sample Q&A here

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.

Similar questions