The number of men and women among professors in Math, Physics, Chemistry, Linguistics, and Englishdepartments from a SRS of small colleges were counted, and the results are shown in the table below.Dept. Math Physics Chemistry Linguistics EnglishMen82104372935Women 781825Test the claim that the gender of a professor is independent of the department. Use the significance level a = 0.01(a) The test statistic is x?(b) The critical value is x?(c) Is there sufficient evidence to warrant the rejection of the claim that the gender of a professor is independent of thedepartment?O A. YesОВ. No

Claim : The gender of a professor is independent of the department. Hypothesis : H0 : The gender of…

Answered: The number of men and women among…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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What is Ha? (H0 is the mean VIQ scores for the younger, middle-aged, and older subjects are all not different from each other) (Note: 1= 5-25 Years, 2= 26-59 Years, 3= 60-92 Years) Multiple Choices: 1. H0 is not true 2. The mean VIQ scores for the younger, middle-aged, and older subjects 3. are all different 4. The mean VIQ scores for the younger, middle-aged, and older subjects are all different from each other 5. The mean VIQ scores for the younger, middle-aged, and older subjects are not equal to one another 6. The mean VIQ scores for the younger, middle-aged, and older subjects are not the same as each other
A case-control (or retrospective) study was conducted to investigate a relationship between the colors of helmets worn by motorcycle drivers and whether they are injured or killed in a crash. Results are given in the accompanying table. Using a 0.01 significance level, test the claim that injuries are independent of helmet color. Color of Helmet Black 493 Yellow Blue 61 White Red Controls (not injured) Cases (injured or killed) 372 29 167 207 109 7 71 30 Click here to view the chi-square distribution table. Identify the null and alternative hypotheses. Choose the correct answer below. A. Họ: Injuries and helmet color are independent H1: Injuries and helmet color are dependent O B. Ho: Whether a crash occurs and helmet color are independent H,: Whether a crash occurs and helmet color are dependent O C. Ho: Whether a crash occurs and helmet color are dependent H: Whether a crash occurs and helmet color are independent O D. Ho: Injuries and helmet color are dependent H;: Injuries and…
Course/Year 1. Brian, a college administrator, claimed that there was no difference in averages of students coming from three nearby schools A, B, and C. Use the following data to test his claim with a 1% significance level. Ex A-420 2x² 253 Ex B 340 SANOVA Table: 4 Source of Variation Between - column Within - column Total A A. Ho: B. a: 0.01 C. B C 3 _M₁ = M₁₂₁ = M²3 Sum of Squares 2.25 Compute for sum of squares D. Compute for degrees of freedom 84 88 88 E. Compute for mean sum of squares F. Compute for F-value 82 83 80 df 2 Ha: STUDENTS 89 82 89 Mean Sum of Squares 85 83 80 F-value Mr & Mr & M²₂ n₁ = √=n²₁₂₁ = 3 - N = 12 7 Critical Value / Tabular Value Decision
31
A case-control (or retrospective) study was conducted to investigate a relationship between the colors of helmets worn by motorcycle drivers and whether they are injured or killed in a crash. Results are given in the accompanying table. Using a 0.01 significance level, test the claim that injuries are independent of helmet color. D Black Color of Helmet Yellow 32 Blue White 331 Controls (not injured) Red 159 482 100 Cases (injured or 211 109 8 65 47 killed) Click here to view the chi-square distribution table. Identify the null and alternative hypotheses. Choose the correct answer below. O A. Ho: Whether a crash occurs and helmet color are dependent H₁: Whether a crash occurs and helmet color are independent OB. Ho: Injuries and helmet color are dependent H₁: Injuries and helmet color are independent OC. Ho: Whether a crash occurs and helmet color are independent H₁: Whether a crash occurs and helmet color are dependent O D. Ho: Injuries and helmet color are independent H₁: Injuries…
C, D, G
Researchers were interested in assessing whether stress levels are different at the beginning of the semester compared to finals week. To test this, stress was measured in 5 students at the start of the semester and then again at the end of the semester during finals week. Participant Stress 1 Stress 2 Difference Score (Di) (Di - Mdiff)2 1 22 22 0 2 32 34 -2 3 24 25 -1 4 28 30 -2 5 26 29 -3 What is the observed test statistic (i.e., tobs)? Round to 2 decimal places.
A physical therapist wanted to know whether the mean step pulse of men was less than the mean step pulse of women. She randomly selected 54 men and 75 women to participate in the study. Each subject was required to step up and down a 6-inch platform. The pulse of each subject was then recorded. The following results were obtained. N Mean StDev SE Mean Men Women 95% Cl for mu Men - mu Women - 9.81, - 0.79) T-Test mu Men = mu Women (vs H2 Oc. Họ: H1 = H2; Hai H1
f.
A doctor in Oklahoma City wants to know whether the average life span for heart disease patients at four hospitals in the city differ. The data below represents the life span, in years, of heart disease patients from each hospital. Perform an ANOVA test with a 10% level of significance to test whether the average life span of heart disease patients in Oklahoma City differs depending on the hospital that treats them Life Span of Patients Treated at Hospital 1: 8.1, 1.2, 7, 11.5, 21, 2, 15.3, 19.2, 10.5, 15.4, 12.7, 15.3, 12.1, 7.5, 11.4, 16.4, 26.7, 14.6, 1.5, 16.3, 12.6, 0.8, 18.2, 4.2, 9.6, 21, 16.3, 2.7 Life Span of Patients Treated at Hospital 2: 17.6, 11.6, 16.8, 5.2, 6.7, 3.2, 13.8, 12.5, 0.9, 6, 14.3, 1.8, 14.8, 10, 5.8, 15.2, 10, 3.7, 11.4, 21.6, 12.9, 0.5, 9.2, 13.9, 10.9 ▼ Part 1 of 4 Life Span of Patients Treated at Hospital 3: 8.5, 2.3, 11, 7.4, 14.8, 5.8, 11, 3.4, 10.9, 1.1, 5.9, 21.6, 12.5, 0.1, 15.5, 15.4, 0.8, 7.7, 5.6, 12, 7.1 Life Span of Patients Treated at Hospital…
You intend to conduct a test of independence for a con tingency table with 4 categories in the column variable and 6 categories in the row variable. You collect data from 595 subjects. What are the degrees of freedom for the x distribution for this test? d.f. =
Adverse reactions of a drug used to help patients continue their abstinence from the use of alcohol have been studied in clinical trials, and the accompanying table summarizes results for digestive system effects among patients from different treatment groups. Use a 0.05 significance level to test the claim that experiencing an adverse reaction in the digestive system is independent of the treatment group. Does the drug treatment appear to have an effect on the digestive system? Click the icon to view the data on adverse reactions from treatments. Determine the null and alternative hypotheses. OA. Ho: Drug treatment and adverse effects are not independent. H₁: Drug treatment and adverse effects are independent. OB. Ho: The drug treatment results in adverse effects on the digestive system. H₁: The drug treatment does not result in adverse effects on the digestive system. OC. Ho: Drug treatment and adverse effects are independent. H₁: Drug treatment and adverse effects are not…

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