Mathematical Statistics with Applications
7th Edition
ISBN: 9780495110811
Author: Dennis Wackerly, William Mendenhall, Richard L. Scheaffer
Publisher: Cengage Learning
expand_more
expand_more
format_list_bulleted
Videos
Question
Chapter 13.12, Problem 68E
To determine
Construct confidence intervals for all possible differences among treatment means so that the simultaneous confidence coefficient is at least 0.95.
Expert Solution & Answer
Trending nowThis is a popular solution!
Students have asked these similar questions
A 30 month study is conducted to determine the difference in rates of accidents per month between two departments in an assembly plant. If a sample of 12 from the first department averaged 12.3 accidents per month with a standard deviation of 3.5, and a sample of 9 from the second department averaged 7.6 accidents per month with standard deviation of 3.4, find: The t-value for a 95% confidence interval is:
A. 2.09302
B. 1.724718
C. 2.08596
D. 1.729133
E. none of the preceding
Assume that you have a sample of n1=8, with the sample mean x1=44, and a sample standard deviation of s1=5, and you have an independent sample of n2=14 from another population with a sample mean of x2=35, and the sample standard deviation s2=6. Construct a 95% confidence interval estimate of the population mean difference between m1 and m2. Assume the the two population variances are equal.
Refer to Exercise 7.S.6. Construct a 95% confidence interval for the population mean reduction in stem length. Does the confidence interval indicate whether the effect of stress is “horticulturally important,” if “horticulturally important” is defined as a reduction in population mean stem length of at least
1 cm
2 cm
5 cm
Chapter 13 Solutions
Mathematical Statistics with Applications
Ch. 13.2 - The reaction times for two different stimuli in a...Ch. 13.2 - Prob. 2ECh. 13.4 - State the assumptions underlying the ANOVA of a...Ch. 13.4 - Prob. 4ECh. 13.4 - Prob. 5ECh. 13.4 - Suppose that independent samples of sizes n1, n2,,...Ch. 13.4 - Four chemical plants, producing the same products...Ch. 13.4 - Prob. 8ECh. 13.4 - Prob. 9ECh. 13.4 - A clinical psychologist wished to compare three...
Ch. 13.4 - It is believed that women in the postmenopausal...Ch. 13.4 - If vegetables intended for human consumption...Ch. 13.4 - One portion of the research described in a paper...Ch. 13.4 - The Florida Game and Fish Commission desires to...Ch. 13.4 - Prob. 15ECh. 13.4 - An experiment was conducted to examine the effect...Ch. 13.5 - Prob. 17ECh. 13.5 - Refer to Exercise 13.17 and consider YiYi for i ...Ch. 13.5 - Refer to the statistical model for the one-way...Ch. 13.7 - Refer to Examples 13.2 and 13.3. a Use the portion...Ch. 13.7 - Refer to Examples 13.2 and 13.4. a Use the portion...Ch. 13.7 - a Based on your answers to Exercises 13.20 and...Ch. 13.7 - Refer to Exercise 13.7. a Construct a 95%...Ch. 13.7 - Prob. 24ECh. 13.7 - Prob. 25ECh. 13.7 - Prob. 26ECh. 13.7 - Prob. 27ECh. 13.7 - Prob. 28ECh. 13.7 - Prob. 29ECh. 13.7 - Prob. 30ECh. 13.7 - Prob. 31ECh. 13.7 - Prob. 32ECh. 13.7 - Prob. 33ECh. 13.7 - Prob. 34ECh. 13.7 - Prob. 35ECh. 13.8 - Prob. 36ECh. 13.8 - Prob. 37ECh. 13.8 - Prob. 38ECh. 13.8 - Prob. 39ECh. 13.8 - Prob. 40ECh. 13.9 - Prob. 41ECh. 13.9 - The accompanying table presents data on yields...Ch. 13.9 - Refer to Exercise 13.42. Why was a randomized...Ch. 13.9 - Prob. 44ECh. 13.9 - Prob. 45ECh. 13.9 - Prob. 46ECh. 13.9 - Prob. 47ECh. 13.9 - Prob. 48ECh. 13.9 - Prob. 49ECh. 13.9 - Prob. 50ECh. 13.9 - Prob. 51ECh. 13.10 - Prob. 52ECh. 13.10 - Prob. 53ECh. 13.10 - Prob. 54ECh. 13.10 - Refer to Exercise 13.46. Construct a 95%...Ch. 13.10 - Prob. 56ECh. 13.10 - Prob. 57ECh. 13.11 - Prob. 58ECh. 13.11 - Prob. 59ECh. 13.11 - Prob. 60ECh. 13.11 - Prob. 61ECh. 13.11 - Prob. 62ECh. 13.12 - Prob. 63ECh. 13.12 - Prob. 64ECh. 13.12 - Prob. 65ECh. 13.12 - Prob. 66ECh. 13.12 - Prob. 67ECh. 13.12 - Prob. 68ECh. 13.13 - Prob. 69ECh. 13.13 - Prob. 70ECh. 13.13 - Refer to Exercise 13.42. Answer part (a) by...Ch. 13.13 - Refer to Exercise 13.45. Answer part (b) by...Ch. 13 - Prob. 73SECh. 13 - Prob. 74SECh. 13 - Prob. 75SECh. 13 - Prob. 77SECh. 13 - A study was initiated to investigate the effect of...Ch. 13 - Prob. 79SECh. 13 - A dealer has in stock three cars (models A, B, and...Ch. 13 - In the hope of attracting more riders, a city...Ch. 13 - Prob. 84SECh. 13 - Prob. 85SECh. 13 - Prob. 86SECh. 13 - Prob. 87SECh. 13 - Prob. 88SECh. 13 - Prob. 89SECh. 13 - Prob. 90SECh. 13 - Prob. 92SECh. 13 - Prob. 94SE
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
- Two men, A and B, who usually commute to work together decide to conduct an experiment to see whether one route is faster than the other. The men feel that their driving habits are approximately the same, so each morning for two weeks one driver is assigned to route I and the other to route II. The times, recorded to the nearest minute, are shown in the following table. Using this data, find the 95%confidence interval for the true mean difference between the average travel time for route I and the average travel time for route II. Let d=(route I travel time)−(route II travel time)d=(route I travel time)−(route II travel time). Assume that the populations of travel times are normally distributed for both routes. Day M Tu W Th F M Tu W Th F Route I 32 24 28 29 31 29 35 32 24 26 Route II 31 27 24 33 33 33 34 28 23 28 Step 1 of 4: Find the mean of the paired differences, d‾. Round your answer to one decimal place. Step 2 of 4: Find the critical value that should be used in…arrow_forward4.) A simple random sample of size n is drawn from a population that is normally distributed. Using the data, it was found to be: x-bar = 108, and s = 10. Construct a 95% confidence interval about μ if the sample size is 25. Construct a 95% confidence interval about μ if the sample size is 10. Compare your results from Parts (a) and (b). How does decreasing the sample size affect the margin of error? Construct a 90% confidence interval about μ if the sample size is 25.arrow_forwardA researcher estimates the 90% CI for a sample with a mean of M = 8.9 and a standard error (sM) of 2.1. What is the confidence interval at this level of confidence?arrow_forward
- Develop a 95% confidence interval for the population slope if the followingregression information are given: b1= 41.7, p-value = 0.02, and n = 35.arrow_forwardA sample of size n=49 is drawn from a popular whose standard deviation is q=4.8. a. Find the margin of error for a 95% confidence interval for "u". b. If the sample size were n=60, would the margin of error be larger or smaller?arrow_forwardA confidence interval for the difference between the means of two normally distributed populations based on the following dependent samples is desired. Before After 6 8 12 14 8 9 10 13 6 9 Find the UCL and LCL for a 95% confidence levelarrow_forward
- 2. The National Health Statistics Reports dated Oct. 22, 2008, included the following information on the heights (in.) for non-Hispanic white females: Age Sample Size Sample Mean Std. Error Mean 20-39 866 64.9 .09 60 and older 934 63.1 .11 a. Calculate and interpret a confidence interval at confidence level approximately 95% for the difference between population mean height for the younger women and that for the older women. (answer I found is (1.5214 , 2.0786)) b. Let denote the population mean height for those aged 20-39 and denote the population mean height for those aged 60 and older. Interpret the hypotheses and , and then carry out a test of these hypotheses at significance level .001 using the rejection region approach. (answer I found is = Reject the null hypothesis (p-value is less than the level of significance) c. What is the P-value for the test you carried out in (b)? Based on this P-value, would you reject the null hypothesis at any…arrow_forwardConsider the following data drawn independently from normally distributed populations: x−1x−1 = −1.6 x−2x−2 = −16.3 s12 = 8.9 s22 = 7.9 n1 = 23 n2 = 15 a. Construct the 95% confidence interval for the difference between the population means. Assume the population variances are unknown but equal. (Round all intermediate calculations to at least 4 decimal places and final answers to 2 decimal places.) Confidence interval is __________ to ___________ b. Specify the competing hypotheses in order to determine whether or not the population means differ. multiple choice 1 H0: μ1 − μ2 = 0; HA: μ1 − μ2 ≠ 0 H0: μ1 − μ2 ≥ 0; HA: μ1 − μ2 < 0 H0: μ1 − μ2 ≤ 0; HA: μ1 − μ2 > 0 c. Using the confidence interval from part a, can you reject the null hypothesis? multiple choice 2 Yes, since the confidence interval includes the hypothesized value of 0. No, since the confidence interval includes the…arrow_forwardGiven two independent random samples with the following results: n1=7x‾1=179s1=22n1=7x‾1=179s1=22 n2=14x‾2=145s2=20n2=14x‾2=145s2=20 Use this data to find the 80% confidence interval for the true difference between the population means. Assume that the population variances are not equal and that the two populations are normally distributed. Copy Data Step 1 of 3 : Find the point estimate that should be used in constructing the confidence interval. Step 2 of 3 : Find the margin of error to be used in constructing the confidence interval. Round your answer to six decimal places. step 3 of3: construct the 80% confidence interval.Round your answers to nearest whole number.arrow_forward
- An automotive company is considering two types of batteries for its automobile. Sample information on the life of the battery is collected for 20 batteries of type A and 20 batteries of type B. The summary statistics are XA = 40.21, xB = 39.53, SA = 1.23, and SB= 1.59. Assume the data on each battery are normally distributed and assume σA = σB.(a) Find a 95% confidence interval on μA – μB.(b) Draw some conclusion from (a) that provides some insight into whether A or B should be adopted.arrow_forwardGiven two independent samples, with sample sizes n1 = 35 and n2 = 30 and their respective sample means x̄1 = 20 and x̄2 = 22, with standard deviations s1 = 3 and s2 = 4, find the 95% confidence interval for the difference in means (x̄1 - x̄2) using a two-sample t-test.arrow_forwardGiven two independent random samples with the following results: n1=8x‾1=177s1=29 n2=8x‾2=150s2=14 Use this data to find the 90%90% confidence interval for the true difference between the population means. Assume that the population variances are not equal and that the two populations are normally distributed. Copy Data Step 1 of 3 : Find the point estimate that should be used in constructing the confidence interval.arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
MATLAB: An Introduction with ApplicationsStatisticsISBN:9781119256830Author:Amos GilatPublisher:John Wiley & Sons Inc
Probability and Statistics for Engineering and th...StatisticsISBN:9781305251809Author:Jay L. DevorePublisher:Cengage Learning
Statistics for The Behavioral Sciences (MindTap C...StatisticsISBN:9781305504912Author:Frederick J Gravetter, Larry B. WallnauPublisher:Cengage Learning
Elementary Statistics: Picturing the World (7th E...StatisticsISBN:9780134683416Author:Ron Larson, Betsy FarberPublisher:PEARSON
The Basic Practice of StatisticsStatisticsISBN:9781319042578Author:David S. Moore, William I. Notz, Michael A. FlignerPublisher:W. H. Freeman
Introduction to the Practice of StatisticsStatisticsISBN:9781319013387Author:David S. Moore, George P. McCabe, Bruce A. CraigPublisher:W. H. Freeman
MATLAB: An Introduction with Applications
Statistics
ISBN:9781119256830
Author:Amos Gilat
Publisher:John Wiley & Sons Inc
Probability and Statistics for Engineering and th...
Statistics
ISBN:9781305251809
Author:Jay L. Devore
Publisher:Cengage Learning
Statistics for The Behavioral Sciences (MindTap C...
Statistics
ISBN:9781305504912
Author:Frederick J Gravetter, Larry B. Wallnau
Publisher:Cengage Learning
Elementary Statistics: Picturing the World (7th E...
Statistics
ISBN:9780134683416
Author:Ron Larson, Betsy Farber
Publisher:PEARSON
The Basic Practice of Statistics
Statistics
ISBN:9781319042578
Author:David S. Moore, William I. Notz, Michael A. Fligner
Publisher:W. H. Freeman
Introduction to the Practice of Statistics
Statistics
ISBN:9781319013387
Author:David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:W. H. Freeman
Hypothesis Testing using Confidence Interval Approach; Author: BUM2413 Applied Statistics UMP;https://www.youtube.com/watch?v=Hq1l3e9pLyY;License: Standard YouTube License, CC-BY
Hypothesis Testing - Difference of Two Means - Student's -Distribution & Normal Distribution; Author: The Organic Chemistry Tutor;https://www.youtube.com/watch?v=UcZwyzwWU7o;License: Standard Youtube License