Elementary Statistics: Picturing the World (7th Edition)
7th Edition
ISBN: 9780134683416
Author: Ron Larson, Betsy Farber
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
Question
Chapter 8, Problem 8.2.11RE
To determine
To test: Whether the
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
In Exercises 11 –14, test the claim about the difference between two population means u1 and u2 at the level of significance a. Assume the samples are random and independent, and the populations are normally distributed.
Test the claim about the difference between two population means m1 and m2 at the level of significance a. Assume the samples are random and independent, and the populations are normally distributed. If convenient, use technology.11.Claim:
m1=m2; a=0.1.Population statistics: s1=3.4 and s2=1.5Sample statistics: x1=16, n1=29 and x2=14, n2=28
Test the claim about the difference between two population means u, and H2 at the level of significance oa. Assume the samples are random and independent, and the populations are normally distributed.
Claim: 4, SH2; a= 0.05. Assume o #o,
Sample statistics: x, = 2417, s, = 177, n, 12 and
X2 = 2296, s2 = 55, n2 = 11
Identify the null and alternative hypotheses. Choose the comrect answer below.
O D. Ho: H1 SH2
Find the standardized test statistic t.
= 1
(Round to two decimal places as needed.)
Find the P-value.
D=d
(Round to three decimal places as needed.)
Decide whether to reject or fail to reject the null hypothesis and interpret the decision in the context of the original claim.
Chapter 8 Solutions
Elementary Statistics: Picturing the World (7th Edition)
Ch. 8.1 - Classify each pair of samples as independent or...Ch. 8.1 - A survey indicates that the mean annual wages for...Ch. 8.1 - A travel agency claims that the average daily cost...Ch. 8.1 - What is the difference between two samples that...Ch. 8.1 - Explain how to perform a two-sample z-test for the...Ch. 8.1 - Describe another way you can perform a hypothesis...Ch. 8.1 - What conditions are necessary in order to use the...Ch. 8.1 - Prob. 5ECh. 8.1 - Prob. 6ECh. 8.1 - Independent and Dependent Samples In Exercises 58,...
Ch. 8.1 - Prob. 8ECh. 8.1 - In Exercises 9 and 10, use the TI-H4 Plus display...Ch. 8.1 - Prob. 10ECh. 8.1 - Prob. 11ECh. 8.1 - In Exercises 1114, test the claim about the...Ch. 8.1 - In Exercises 1114, test the claim about the...Ch. 8.1 - Prob. 14ECh. 8.1 - Testing the Difference Between Two Means In...Ch. 8.1 - Testing the Difference Between Two Means In...Ch. 8.1 - Prob. 17ECh. 8.1 - Prob. 18ECh. 8.1 - Prob. 19ECh. 8.1 - Testing the Difference Between Two Means In...Ch. 8.1 - Testing the Difference Between Two Means In...Ch. 8.1 - Prob. 22ECh. 8.1 - Prob. 23ECh. 8.1 - Prob. 24ECh. 8.1 - Prob. 25ECh. 8.1 - Getting at the Concept Explain why the null...Ch. 8.1 - Testing a Difference Other Than Zero Sometimes a...Ch. 8.1 - Testing a Difference Other Than Zero Sometimes a...Ch. 8.1 - Prob. 29ECh. 8.1 - Architect Salaries Construct a 99% confidence...Ch. 8.2 - The annual earnings of 25 people with a high...Ch. 8.2 - A manufacturer claims that the mean driving cost...Ch. 8.2 - What conditions are necessary in order to use the...Ch. 8.2 - Explain how to perform a two-sample t-test for the...Ch. 8.2 - Prob. 3ECh. 8.2 - Prob. 4ECh. 8.2 - Prob. 5ECh. 8.2 - Prob. 6ECh. 8.2 - In Exercises 38, use Table 5 in Appendix B to find...Ch. 8.2 - Prob. 8ECh. 8.2 - In Exercises 912, test the claim about the...Ch. 8.2 - Prob. 10ECh. 8.2 - Prob. 11ECh. 8.2 - In Exercises 912, test the claim about the...Ch. 8.2 - Testing the Difference Between Two Means in...Ch. 8.2 - Testing the Difference Between Two Means in...Ch. 8.2 - Testing the Difference Between Two Means in...Ch. 8.2 - Testing the Difference Between Two Means in...Ch. 8.2 - Prob. 17ECh. 8.2 - Prob. 18ECh. 8.2 - Prob. 19ECh. 8.2 - Testing the Difference Between Two Means in...Ch. 8.2 - Testing the Difference Between Two Means in...Ch. 8.2 - Testing the Difference Between Two Means in...Ch. 8.2 - Constructing Confidence Intervals for 1 2 When...Ch. 8.2 - Constructing Confidence Intervals for 1 2 When...Ch. 8.2 - Constructing Confidence Intervals for 1 2 When...Ch. 8.2 - Prob. 26ECh. 8.2 - How Protein Affects Weight Gain in Overeaters In a...Ch. 8.2 - Prob. 2CSCh. 8.2 - How Protein Affects Weight Gain in Overeaters In a...Ch. 8.2 - Prob. 4CSCh. 8.2 - Prob. 5CSCh. 8.3 - A shoe manufacturer claims that athletes can...Ch. 8.3 - Prob. 2TYCh. 8.3 - Prob. 1ECh. 8.3 - Prob. 2ECh. 8.3 - Prob. 3ECh. 8.3 - Prob. 4ECh. 8.3 - Prob. 5ECh. 8.3 - Prob. 6ECh. 8.3 - Prob. 7ECh. 8.3 - Prob. 8ECh. 8.3 - Prob. 9ECh. 8.3 - Testing the Difference Between Two Means In...Ch. 8.3 - Prob. 11ECh. 8.3 - Prob. 12ECh. 8.3 - Prob. 13ECh. 8.3 - Testing the Difference Between Two Means In...Ch. 8.3 - Prob. 15ECh. 8.3 - Prob. 16ECh. 8.3 - Testing the Difference Between Two Means In...Ch. 8.3 - Testing the Difference Between Two Means In...Ch. 8.3 - Testing the Difference Between Two Means In...Ch. 8.3 - Prob. 20ECh. 8.3 - Prob. 21ECh. 8.3 - Prob. 22ECh. 8.3 - Prob. 23ECh. 8.3 - Prob. 24ECh. 8.4 - Consider the results of the study discussed on...Ch. 8.4 - Prob. 2TYCh. 8.4 - What conditions are necessary in order to use the...Ch. 8.4 - Explain how to perform a two-sample z-test for the...Ch. 8.4 - In Exercises 36, determine whether a normal...Ch. 8.4 - Prob. 4ECh. 8.4 - Prob. 5ECh. 8.4 - In Exercises 36, determine whether a normal...Ch. 8.4 - Prob. 7ECh. 8.4 - Testing the Difference Between Two Proportions In...Ch. 8.4 - Prob. 9ECh. 8.4 - Prob. 10ECh. 8.4 - Prob. 11ECh. 8.4 - Testing the Difference Between Two Proportions In...Ch. 8.4 - Prob. 13ECh. 8.4 - Prob. 14ECh. 8.4 - Intermarriages In Exercises 1318, use the figure,...Ch. 8.4 - Prob. 16ECh. 8.4 - Prob. 17ECh. 8.4 - Intermarriages In Exercises 1318, use the figure,...Ch. 8.4 - Prob. 19ECh. 8.4 - Prob. 20ECh. 8.4 - Prob. 21ECh. 8.4 - U.S. Workforce In Exercises 1922, use the figure...Ch. 8.4 - Prob. 23ECh. 8.4 - Prob. 24ECh. 8.4 - Prob. 25ECh. 8.4 - Prob. 26ECh. 8 - Uses Hypothesis Testing with Two Samples...Ch. 8 - Medical research often involves blind and...Ch. 8 - Prob. 8.1.1RECh. 8 - Prob. 8.1.2RECh. 8 - Sample 1: The fuel efficiencies of 20 sports...Ch. 8 - Prob. 8.1.4RECh. 8 - Prob. 8.1.5RECh. 8 - In Exercises 58, test the claim about the...Ch. 8 - Prob. 8.1.7RECh. 8 - In Exercises 58, test the claim about the...Ch. 8 - In Exercises 9 and 10, (a) identify the claim and...Ch. 8 - Prob. 8.1.10RECh. 8 - Prob. 8.2.11RECh. 8 - Prob. 8.2.12RECh. 8 - Prob. 8.2.13RECh. 8 - Prob. 8.2.14RECh. 8 - Prob. 8.2.15RECh. 8 - Prob. 8.2.16RECh. 8 - Prob. 8.2.17RECh. 8 - Prob. 8.2.18RECh. 8 - Prob. 8.3.19RECh. 8 - In Exercises 1922, test the claim about the mean...Ch. 8 - Prob. 8.3.21RECh. 8 - Prob. 8.3.22RECh. 8 - Prob. 8.3.23RECh. 8 - In Exercises 23 and 24, (a) identify the claim and...Ch. 8 - Prob. 8.4.25RECh. 8 - Prob. 8.4.26RECh. 8 - Prob. 8.4.27RECh. 8 - Prob. 8.4.28RECh. 8 - Prob. 8.4.29RECh. 8 - Prob. 8.4.30RECh. 8 - Prob. 1CQCh. 8 - Prob. 2CQCh. 8 - Prob. 3CQCh. 8 - Prob. 4CQCh. 8 - Take this test as you would take a test in class....Ch. 8 - Prob. 2CTCh. 8 - A physical therapist suggests that soft tissue...Ch. 8 - Take this test as you would take a test in class....Ch. 8 - The U.S. Department of Health Human Services...Ch. 8 - Prob. 2RSRDCh. 8 - Prob. 3RSRDCh. 8 - Prob. 4RSRDCh. 8 - Prob. 1TCh. 8 - Prob. 2TCh. 8 - Prob. 3TCh. 8 - Prob. 4TCh. 8 - Prob. 5TCh. 8 - Prob. 1CRCh. 8 - Prob. 2CRCh. 8 - Prob. 3CRCh. 8 - Prob. 4CRCh. 8 - In Exercises 36, construct the indicated...Ch. 8 - In Exercises 36, construct the indicated...Ch. 8 - In Exercises 710, the statement represents a...Ch. 8 - In Exercises 710, the statement represents a...Ch. 8 - In Exercises 710, the statement represents a...Ch. 8 - In Exercises 710, the statement represents a...Ch. 8 - Prob. 11CRCh. 8 - Prob. 12CRCh. 8 - Prob. 13CRCh. 8 - Prob. 14CRCh. 8 - Prob. 15CRCh. 8 - Prob. 16CRCh. 8 - A researcher claims that 5% of people who wear...
Knowledge Booster
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
- 6) Use a significance level of a = 0.05 to test the claim that µ # 32.6. The sample data from normal population consists of 15 scores for which x = 41.9 and s = 7.7.arrow_forward10. Test the claim about the population mean μ at the level of significance α. Assume the population is normally distributed. Claim: μ<4915; α=0.05 Sample statistics: x=5017, s=5613, n=55 Question content area bottom Part 1 What are the null and alternative hypotheses? H0: muμ greater than or equals≥ 4915 4915 Ha: muμ less than< 4915 4915 (Type integers or decimals. Do not round.) Part 2 Find the standardized test statistic t. t=enter your response here (Round to two decimal places as needed.)arrow_forward2.STATISTICAL INFERENCEarrow_forward
- Test the claim about the difference between two population means u, and u, at the level of significance a. Assume the samples are random and independent, and the populations are normally distributed. Claim: H, SHz; a = 0.10. Assume o, #o, Sample statistics: x, = 2418, s, = 179, n, = 15 and X2 = 2295, s, = 55, n, =9 Identify the null and alternative hypotheses. Choose the correct answer below. O A. Ho: H1> H2 Ha: H1 SH2 O B. Ho: H1 2H2 Ha: H1 H2 O D. Ho: H1arrow_forwardTest the claim about the population mean, u, at the given level of significance using the given sample statistics. Claim: #6000; α=0.07; = 389. Sample statistics: x=6200, n=35 μ Identify the null and alternative hypotheses. Choose the correct answer below. Ο A. Ho: μ = 6000 Ha: µ#6000 OC. Ho µ‡ 6000 H₂ μ=6000 QE. Ho: 26000 H₂: μ#6000 OB. Ho u≤6000 Ha μ#6000 O D. Ho: μ#6000 Hai μ ≥6000 OF. Ho μ#6000 H₂ μ≤6000 11arrow_forward22. In an attempt to compare the durability of two different materials (X and Y), 10 pieces of type X and 14 pieces of type Y were used. From these samples we calculate the statistics: X= 129.44, y = 122.65, sx = 9.15, sy = 11.02. Assuming the two populations sampled are normal with equal variance, find the P-value. (0.05, 0.10) (0.01,0.025) (0.02,0.05). (0.1,0 2)arrow_forwardTest the claim about the difference between two population means H, and u2 at the level of significance a. Assume the samples are random and independent, and the populations are normally distributed. Claim: 41 SH2; a = 0.10. Assume o, #o, Sample statistics: X, = 2417, s, = 179, n, = 12 and X2 = 2296, s2 = 53, n2 = 10 Identify the null and alternative hypotheses. Choose the correct answer below. 대= 내 : "H OF. Ho: H1 2H2 Find the standardized test statistic t. (Round to two decimal places as needed.) Find the P-value. (Round to three decimal places as needed.) Decide whether to reject or fail to reject the null hypothesis and interpret the decision in the context of the original claim. V Ho. There V enough evidence at the 10% level of significance to reject the claim.arrow_forwardTest the claim about the difference between two population means u, and p2 at the level of significance a. Assume the samples random and independent, and the populations are normally distributed. Claim: 4, SHzi a= 0.10. Assume o #o Sample statistics: X1 = 2418, s, = 174, n, = 12 and X2 = 2291, s2 = 54, n2 = 10 Identify the null and alternative hypotheses. Choose the correct answer below. O A. Ho: Hi # H2 O C. Ho: Hy Hz Find the standardized test statistic t. (Round to two decimal places as needed.) Find the P-value. (Round to three decimal places as needed.) Decide whether to reject or fail to reject the null hypothesis and interpret the decision in the context of the original claim.arrow_forwarda) Let Y₁,Y2,...,Yn be a random sample taken from a normal distribution with mean, and variance, 9. We intend to test Ho: = 3 versus H₁: =4. Find the sample size, n if Ho is to be rejected for all X≥5.382 with the probability of Type II error, ß = 0.063.arrow_forwardTest the claim about the difference between two population means H, and u2 at the level of significance a. Assume the samples are random and independent, and the populations are normally distributed. Claim: µ, SHzi a= 0.05. Assume o; *o, Sample statistics: X1 = 2417, s, = 177, n, = 12 and X2 = 2296, s2 = 55, n2 = 11 O A. Ho: H1 * H2 ZH = ht:"H 대>H :"H Find the standardized test statistic t. (Round to two decimal places as needed.) Find the P-value. (Round to three decimal places as needed.) Decide whether to reject or fail to reject the null hypothesis and interpret the decision in the context of the original claim. V Ho. There V enough evidence at the 5% level of significance to reject the claim.arrow_forwardQ2.[5 points]: Two random samples taken from two normal populations yielded the following information: Sample variance s = 12 Sample Sample size 1 n1 = 11 2 n2 = 8 s; = 23 i. Find the test statistic F i. Find the degrees of freedom dfl and df2. Perform the test the hypotheses H,: of = ož vs. H1: o? < ož at the 5% level of significance. iii.arrow_forwardQ10. Let X1,X 2,.,X, be a random sample of size n from a distribution with mean 0 and variance o. Consider the following two estimators for 0: Ô, = X, and Ô, = X. (a) Show that Ôj and Ô2 are both unbiased estimators of e. (b) Obtain the relative efficiency of Ô to Ô2. (c) Which estimator, Oj or O2 is a more efficient estimator? Justify your answer.arrow_forwardarrow_back_iosSEE MORE QUESTIONSarrow_forward_ios
Recommended textbooks for you
Glencoe Algebra 1, Student Edition, 9780079039897...AlgebraISBN:9780079039897Author:CarterPublisher:McGraw Hill
Glencoe Algebra 1, Student Edition, 9780079039897...
Algebra
ISBN:9780079039897
Author:Carter
Publisher:McGraw Hill
Statistics 4.1 Point Estimators; Author: Dr. Jack L. Jackson II;https://www.youtube.com/watch?v=2MrI0J8XCEE;License: Standard YouTube License, CC-BY
Statistics 101: Point Estimators; Author: Brandon Foltz;https://www.youtube.com/watch?v=4v41z3HwLaM;License: Standard YouTube License, CC-BY
Central limit theorem; Author: 365 Data Science;https://www.youtube.com/watch?v=b5xQmk9veZ4;License: Standard YouTube License, CC-BY
Point Estimate Definition & Example; Author: Prof. Essa;https://www.youtube.com/watch?v=OTVwtvQmSn0;License: Standard Youtube License
Point Estimation; Author: Vamsidhar Ambatipudi;https://www.youtube.com/watch?v=flqhlM2bZWc;License: Standard Youtube License