/*! 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} Q2 Confidence Interval for Haemoglo... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 9: Q2 (page 437)

Confidence Interval for Haemoglobin

Large samples of women and men are obtained, and the haemoglobin level is measured in each subject. Here is the 95% confidence interval for the difference between the two population means, where the measures from women correspond to population 1 and the measures from men correspond to population 2: -1.76g/dL<渭1-渭2<-1.62g/dL.

a. What does the confidence interval suggest about equality of the mean hemoglobin level in women and the mean hemoglobin level in men?

b. Write a brief statement that interprets that confidence interval.

c. Express the confidence interval with measures from men being population 1 and measures from women being population 2.

Short Answer

Expert verified

a. The confidence interval shows that there is a significant difference between the mean hemoglobin level in women and men.

b. The interval would contain the actual difference of mean hemoglobin measures for women and men.

c. The hemoglobin level of men being population 1 is greater than the hemoglobin level of women being population 2.

Step by step solution

01

Given information

The confidence level is 95%.

The confidence interval is -1.76g/dL<渭1-渭2<-1.62g/dL, where the measures from

women correspond to population 1, and the measures from men correspond to population 2.

02

Test the claim from confidence interval

a. As the value 0 does not belong to the interval, it can be concluded that there is a significant difference between the mean hemoglobin level in women and men.

03

Interpret confidence interval

b. The 95% confidence interval for the difference of mean implies that it can be stated with 95% confidence that the actual difference of the mean haemoglobin levelsfor women and men would lie between -1.76 and -1.62.

04

Express confidence interval in terms of populations

c. Here, the confidence interval is expressed as:

-1.76g/dL<渭1-渭2<-1.62g/dL

Where, -1.76 and -1.62 are the lower and upper measures.

The measures are negative, which implies that the mean hemoglobin level of population 2 is greater than the hemoglobin level of population 1.

So, the mean level of hemoglobin is higher for men than women.

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

Testing Claims About Proportions. In Exercises 7鈥�22, test the given claim. Identify the null hypothesis, alternative hypothesis, test statistic, P-value or critical value(s), then state the conclusion about the null hypothesis, as well as the final conclusion that addresses the original claim.

Clinical Trials of OxyContin OxyContin (oxycodone) is a drug used to treat pain, butit is well known for its addictiveness and danger. In a clinical trial, among subjects treatedwith OxyContin, 52 developed nausea and 175 did not develop nausea. Among other subjectsgiven placebos, 5 developed nausea and 40 did not develop nausea (based on data from PurduePharma L.P.). Use a 0.05 significance level to test for a difference between the rates of nauseafor those treated with OxyContin and those given a placebo.

a. Use a hypothesis test.

b. Use an appropriate confidence interval.

c. Does nausea appear to be an adverse reaction resulting from OxyContin?

IQ and Lead Exposure Data Set 7 鈥淚Q and Lead鈥� in Appendix B lists full IQ scores for a random sample of subjects with low lead levels in their blood and another random sample of subjects with high lead levels in their blood. The statistics are summarized on the top of the next page. Use a 0.05 significance level to test the claim that IQ scores of people with low lead

levels vary more than IQ scores of people with high lead levels.

Low Lead Level: n = 78, \(\bar x\) = 92.88462, s = 15.34451

High Lead Level: n = 21, \(\bar x\) = 86.90476, s = 8.988352

Testing Claims About Proportions. In Exercises 7鈥�22, test the given claim. Identify the null hypothesis, alternative hypothesis, test statistic, P-value or critical value(s), then state the conclusion about the null hypothesis, as well as the final conclusion that addresses the original claim.

Is Echinacea Effective for Colds? Rhinoviruses typically cause common colds. In a test of the effectiveness of Echinacea, 40 of the 45 subjects treated with Echinacea developed rhinovirus infections. In a placebo group, 88 of the 103 subjects developed rhinovirus infections (based on data from 鈥淎n Evaluation of Echinacea Angustifolia in Experimental Rhinovirus Infections,鈥� by Turner et al., New England Journal of Medicine, Vol. 353, No. 4). We want to use a 0.05 significance level to test the claim that Echinacea has an effect on rhinovirus infections.

a. Test the claim using a hypothesis test.

b. Test the claim by constructing an appropriate confidence interval.

c. Based on the results, does Echinacea appear to have any effect on the infection rate?

Testing Claims About Proportions. In Exercises 7鈥�22, test the given claim. Identify the null hypothesis, alternative hypothesis, test statistic, P-value or critical value(s), then state the conclusion about the null hypothesis, as well as the final conclusion that addresses the original claim.

Bednets to Reduce Malaria In a randomized controlled trial in Kenya, insecticide-treated bednets were tested as a way to reduce malaria. Among 343 infants using bednets, 15 developed malaria. Among 294 infants not using bednets, 27 developed malaria (based on data from 鈥淪ustainability of Reductions in Malaria Transmission and Infant Mortality in Western Kenya with Use of Insecticide-Treated Bed nets,鈥� by Lind blade et al., Journal of the American Medical Association, Vol. 291, No. 21). We want to use a 0.01 significance level to test the claim that the incidence of malaria is lower for infants using bed nets.

a. Test the claim using a hypothesis test.

b. Test the claim by constructing an appropriate confidence interval.

c. Based on the results, do the bed nets appear to be effective?

Coke and Diet Coke Data Set 26 鈥淐ola Weights and Volumes鈥� in Appendix B includes theweights (in pounds) of cola for a sample of cans of regular Coke (n = 36, \(\bar x\)= 0.81682 lb,s = 0.00751 lb) and the weights of cola for a sample of cans of Diet Coke (n = 36, \(\bar x\) =0.78479 lb, s = 0.00439 lb). Use a 0.05 significance level to test the claim that variation is thesame for both types of Coke.
See all solutions

Recommended explanations on Math Textbooks

Decision Maths

Read Explanation

Calculus

Read Explanation

Pure Maths

Read Explanation

Applied Mathematics

Read Explanation

Logic and Functions

Read Explanation

Probability and Statistics

Read Explanation
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.