Introduction to Statistics and Data Analysis
5th Edition
ISBN: 9781305115347
Author: Roxy Peck; Chris Olsen; Jay L. Devore
Publisher: Brooks Cole
expand_more
expand_more
format_list_bulleted
Question
Chapter 16.2, Problem 16E
To determine
Test whether the data suggest that surgery increases the mean lung capacity.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
An article in Plant Disease, "Effect of Nitrogen and Potassium Fertilizer Rates on Severity of Xanthomonas Blight of Syngonium
Podophyllum" (1989, Vol. 73, No. 12, pp. 972-975) showed the effect of the variable nitrogen and potassium rates on the growth of
"White Butterfly" and the mean percentage of disease. Data representative of that collected in this experiment is provided in the
following table.
Potassium (mg/pot/wk)
Nitrogen
(mg/pot/wk) 30
90
120
50
60.8
60.8
45.5
43.0
60.0
58.4
150
54.4
56.1
53.8
51.6
34.5
35.5
250 42.9
40.0
36.1
37.9
33.0
33.3
(a) Use the analysis of variance to test the appropriate hypotheses with a = 0.05.
The effect of the variable nitrogen
significant, the effect of the potassium rates
significant, the interaction
between the variable nitrogen and potassium rates
significant.
(b) Graphically analyze the residuals from this experiment.
The residuals
acceptable.
(c) Estimate the appropriate variance component. Round your answers to 2 decimal places.
Source…
“Passive and Active Smoke” in Appendix B includes cotinine levels measured in a group of nonsmokers exposed to tobacco smoke (n = 40, Mean = 60.58 ng>mL, s = 138.08 ng>mL) and a group of nonsmokers not exposed to tobacco smoke (n = 40, Mean = 16.35 ng>mL, s = 62.53 ng>mL). Cotinine is a metabolite of nicotine, meaning that when nicotine is absorbed by the body, cotinine is produced. Use a 0.05 significance level to test the claim that nonsmokers exposed to tobacco smoke have a higher mean cotinine level than nonsmokers not exposed to tobacco smoke.
Based on your hypothesis tests and confidence intervals, what do you conclude about the effects of second hand smoke? Why?
“Passive and Active Smoke” in Appendix B includes cotinine levels measured in a group of nonsmokers exposed to tobacco smoke (n = 40, Mean = 60.58 ng>mL, s = 138.08 ng>mL) and a group of nonsmokers not exposed to tobacco smoke (n = 40, Mean = 16.35 ng>mL, s = 62.53 ng>mL). Cotinine is a metabolite of nicotine, meaning that when nicotine is absorbed by the body, cotinine is produced. Use a 0.05 significance level to test the claim that nonsmokers exposed to tobacco smoke have a higher mean cotinine level than nonsmokers not exposed to tobacco smoke.
1. Construct a confidence interval estimate of the difference betwen the mean continen levels fo the two groups of nonsmokers. What confidence level would be appropriate?
2. Find the margin of error E using the formula.
3. What is the confidence interval? Explain the meaning of the confidence interal and what the limit represents.
Chapter 16 Solutions
Introduction to Statistics and Data Analysis
Ch. 16.1 - Urinary fluoride concentration (in parts per...Ch. 16.1 - Prob. 2ECh. 16.1 - Prob. 3ECh. 16.1 - A blood lead level of 70 mg/ml has been commonly...Ch. 16.1 - The effectiveness of antidepressants in treating...Ch. 16.1 - Prob. 6ECh. 16.1 - Prob. 7ECh. 16.2 - The effect of a restricted diet in the treatment...Ch. 16.2 - Peak force (N) on the hand was measured just prior...Ch. 16.2 - In an experiment to study the way in which...
Ch. 16.2 - Prob. 11ECh. 16.2 - Prob. 12ECh. 16.2 - Prob. 13ECh. 16.2 - Prob. 14ECh. 16.2 - Prob. 15ECh. 16.2 - Prob. 16ECh. 16.2 - Prob. 17ECh. 16.2 - The signed-rank test can be adapted for use in...Ch. 16.3 - Prob. 19ECh. 16.3 - Prob. 20ECh. 16.3 - The given data on phosphorus concentration in...Ch. 16.3 - Prob. 22ECh. 16.3 - Prob. 23ECh. 16.3 - The following data on amount of food consumed (g)...Ch. 16.3 - The article Effect of Storage Temperature on the...
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
- A study assessed the lung destructive index among smokers and non- smokers provided the following data Smokers : overline x 1 =14.5 n 1 =12 S P =2.50 Non- Smokers: overline x 2 =9.5 n 2 =10 a = .05 From the available data, can we conclude that smokers have greater lung damage than non-smokers?arrow_forwardSerum estradiol is an important risk factor for breast cancer in postmenopausal women. To better understand the etiology of breast cancer, serum-estradiol samples were collected from 25 premenopausal women (at about the same time period of the menstrual cycle) of whom 10 were Caucasian and 15 were African American. Data were collected on both serum estradiol as well as body mass index (BMI) = weight (kg)/height2 (m2), which is an important measure of overall obesity. The data are shown in Table 9.16. The distribution of serum estradiol is usually highly skewed (especially for premenopausal women), and we are reluctant to assume normality. HW Question: What test can we use to compare the distribution of serum estradiol for Caucasian vs. African American women? Implement the test and report a two-tailed p-value based on large sample methods Here's my approach and I'm not sure if this is correct. I am using the Wilcoxon rank sum test for this problem. Group 1 (African-American): n=15…arrow_forwardLeft ventricular mass (LVM) is an important risk factor for subsequentcardiovascular disease. A study is conducted to assess the relationship between the size of LVM in children (as determined from an echocardiogram) and the size of LVM four years later in the same individuals. Does LVM change over time in children? Completely conduct the appropriate hypothesis and list any additional necessary assumptions (you can assume that additional assumptions are met by the data) test with alpha =0.01. i Baseline LVM LVM 4 years later 1 134 126 2 86 142 3 78 111 4 73 82arrow_forward
- Before/After Treatment Results Captopril is a drug designed to lower systolic blood pressure. When subjects were treated with this drug, their systolic blood pressure readings (in mm Hg) were measured before and after the drug was taken. Results are given in the accompanying table (based on data from “Essential Hypertension: Effect of an Oral Inhibitor of Angiotensin-Converting Enzyme,” by MacGregor et al., British Medical Journal, Vol. 2). Using a 0.01 significance level, is there sufficient evidence to support the claim that Captopril is effective in lowering systolic blood pressure?arrow_forward27. No Variation in a Sample An experiment was conducted to test the effects of alcohol. Re- searchers measured the breath alcohol levels for a treatment group of people who drank ethanol and another group given a placebo. The results are given below (based on data from "Effects of Alcohol Intoxication on Risk Taking, Strategy, and Error Rate in Visuomotor Performance," by Streufert et al., Journal of Applied Psychology, Vol. 77, No. 4). Use a 0.05 significance level to test the claim that the two sample groups come from populations with the same mean. Treatment Group: nj 22, x¡ 0.049, s = 0.015 %3D %3D Placebo Group: n = 22, x, 0.000, s, = 0.000 %3D %3Darrow_forwardwidely used as dielectrics and coolants in electrical systems in the past. They were found to be a major environmental contaminant in the 1960s. In a study, the mean PCB content at each of thirteen sites was reported for the years 1982 and 1996 (from “The ratio of DDE to PCB concentrations in Great Lakes herring gull eggs and its use in interpreting contaminants data”, Journal of Great Lakes Research 24 (1): 12-31, 1998). The data are below.Site:12345678910111213198261.4864.4745.5059.7058.8175.9671.5738.0630.5139.7029.7866.8963.93199613.9918.2611.2810.0221.0017.3628.207.3012.809.4112.6316.8322.74(a) Which test would be more appropriate in this case: a t-test for the difference between two population means, or a paired t-test? Why?(b) Do the data provide sufficient evidence to support the claim that the mean PCB level has decreased in the region? Be sure to check all assumptions, write the null and alternative hypotheses, calculate the appropriate test statistic, calculate the p-value,…arrow_forward
- Compute a 95% CI for the mean white blood countfollowing admission.arrow_forwardDefine the alpha level ad the critical region for a hypothsis test.arrow_forwardCaptopril is a drug designed to lower systolic blood pressure. When subjects were treated with this drug, their systolic blood pressure readings (in mm Hg) were measured before and after the drug was taken. Results are given in the accompanying table (based on data from "Essential Hypertension: Effect of an Oral Inhibitor of Angiotensin-Converting Enzyme," by MacGregor et al., British Medical Journal, Vol. 2). Using a 0.01 significance level, is there sufficient evidence to support the claim that captopril has an effect on systolic blood pressure?arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_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
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