A random sample of 21 waiting times (in minutes) before patients saw a medical professional in a hospital's minor emergency department had a variance of 1.21 After a new admissions procedure was implemented, a random sample of 20 waiting times had a variance of 0.81 minute. At a = 0.05, can you support the hosp that the standard deviation of the waiting times has decreased? Complete parts (a) through (e) below. "0. 1-2 'a 1 D. Ho: of so3. Hai o? > o? (b) Determine the critical value and the rejection region. What is the critical F-value? Fo = 2.16 (Round to two decimal places as needed.) What is the rejection region for this F-test? O A. F< -F, or F>Fo B. F>Fo O C. F

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section: Chapter Questions
Problem 22SGR
icon
Related questions
Topic Video
Question

calculate the test statistic

decide wether to reject or fail to reject the null hypothesis

A random sample of 21 waiting times (in minutes) before patients saw a medical professional in a hospital's minor emergency department had a variance of 1.21 minutes.
After a new admissions procedure was implemented, a random sample of 20 waiting times had a variance of 0.81 minute. At a = 0.05, can you support the hospital's claim
that the standard deviation of the waiting times has decreased? Complete parts (a) through (e) below.
"0' °1 - ° 2'''a' °1
'D. Ho: o so을, Ha: o>o3
(b) Determine the critical value and the rejection region. What is the critical F-value?
Fo
= 2.16
(Round to two decimal places as needed.)
What is the rejection region for this F-test?
A. F< - F, or F>Fo
B. F>Fo
O C. F<Fo
D. - Fo <F<Fo
(c) Calculate the test statistic.
F =
(Round to two decimal places as needed.)
Enter
your answer in the answer box and then click Check Answer.
Transcribed Image Text:A random sample of 21 waiting times (in minutes) before patients saw a medical professional in a hospital's minor emergency department had a variance of 1.21 minutes. After a new admissions procedure was implemented, a random sample of 20 waiting times had a variance of 0.81 minute. At a = 0.05, can you support the hospital's claim that the standard deviation of the waiting times has decreased? Complete parts (a) through (e) below. "0' °1 - ° 2'''a' °1 'D. Ho: o so을, Ha: o>o3 (b) Determine the critical value and the rejection region. What is the critical F-value? Fo = 2.16 (Round to two decimal places as needed.) What is the rejection region for this F-test? A. F< - F, or F>Fo B. F>Fo O C. F<Fo D. - Fo <F<Fo (c) Calculate the test statistic. F = (Round to two decimal places as needed.) Enter your answer in the answer box and then click Check Answer.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Hypothesis Tests and Confidence Intervals for Proportions
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
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill