/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Q.19 Slow response times by paramedic... [FREE SOLUTION] | 91影视

91影视

Slow response times by paramedics, firefighters, and policemen can have serious consequences for accident victims. In the case of life-threatening injuries, victims generally need medical attention within 8 minutes of the accident. Several cities have begun to monitor emergency response times. In one such city, the mean response time to all accidents involving life-threatening injuries last year was M 6.7 minutes. Emergency personnel arrived within 8 minutes after 78% of all calls involving life-threatening injuries last year. The city manager shares this information and encourages these first responders to 鈥渄o better.鈥 At the end of the year, the city manager selects an SRS of 400 calls involving life-threatening injuries and examines the response times.

(a) State hypotheses for a significance test to determine whether the average response time has decreased. Be sure to define the parameter of interest.

(b) Describe a Type I error and a Type II error in this setting, and explain the consequences of each.

(c) Which is more serious in this setting: a Type I error or a Type II error? Justify your answer.

Short Answer

Expert verified

a. Mean response time is 6.7minutes for null hypothesis and less than 6.7for alternative hypothesis

b. Type I error is training needs improvement and type II error is training needs no improvement

c. Type I error is more serious in this setting

Step by step solution

01

introduction

Given,

In the case of life-threatening injuries, victims generally need medical attention within 8minutes of the accident. Several cities have begun to monitor emergency response times.

Mean population is 125.7

The sample size is 45

02

explanation part (a)

Calculating the null and alternative hypotheses,

H0:=6.7

The mean response time is equal to 6.7minutes as per the null hypothesis.

H0:<6.7

The mean response time is less 6.7minutes as per the alternative hypothesis.

03

explanation part (b)

In Type l error, when the null hypothesis is valid then it is dismissed.

Accordingly, the mean reaction time is equal to 6.7minutes, however, the test shows that the mean reaction time is less. Consequently, the reaction time has improved and the preparation doesn't need to be improved, however actually the preparation needs to move along.

In Type Il error, when the null hypothesis is valid then its dismissal also failed.

Along these lines, the mean reaction time is less than6.7 minutes, while the test demonstrates that it isn't less. Thus, rather than the reaction time, preparation should be improved, yet in reality, the preparation should not be gotten to the next level.

04

explanation part (c)

Type I error is more serious in this setting as the preparation has been worked on in Type II error however in Type I error, the preparation isn't worked on yet in reality preparing should be worked on in Type I error.

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91影视!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

(a) State hypotheses for a significance test to determine whether first responders are arriving within 8 minutes of the call more often. Be sure to define the parameter of interest.

(b) Describe a Type I error and a Type II error in this setting and explain the consequences of each.

(c) Which is more serious in this setting: a Type I error or a Type II error? Justify your answer.

(d) If you sustain a life-threatening injury due to a vehicle accident, you want to receive medical treatment as quickly as possible. Which of the two significance tests鈥H0:=6.7versusHa:<6.7 or the one from part (a) of this exercise鈥攚ould you be

more interested in? Justify your answer.

The most important condition for sound conclusions from statistical inference is that

(a) the data come from a well-designed random sample or randomized experiment

(b) the population distribution be exactly Normal.

(c) the data contain no outliers.

(d) the sample size be no more than 10%of the population size.

(c) the sample size be at least 30.

You are testing HO:=10H:<10against based on an SRS of 20observations from a Normal population. The tstatistic is . t=-2.25The P-value

(a) falls between 0.01and0.02

(b) falls between0.02and0.04

(c) falls between0.04and0.05

(d) falls between .05and0.25.

(c) is greater than0.25.

Teens and sex The Gallup Youth Survey asked a random sample of U.S. teens aged 13 to 17 whether they thought that young people should wait to have sex until marriage.17 The Minitab output below shows the results of a significance test and a 95% confidence interval based on the survey data.

(a) Define the parameter of interest.

(b) Check that the conditions for performing the significance test are met in this case.

(c) Interpret the P-value in context.

(d) Do these data give convincing evidence that the actual population proportion differs from 0.5? Justify your answer with appropriate evidence.

When asked to explain the meaning of the P-value in Exercise 13, a student

says, 鈥淭his means there is only probability 0.01 that the null hypothesis is true.鈥 Explain clearly why the student鈥檚 explanation is wrong.

See all solutions

Recommended explanations on Math Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.