Write the null and alternative hypotheses for carrying out an analysis of variance (ANOVA) on these data Total number of observations: 47======:Inference of Performance Score by Smoker status:Group Means with 95 Confidence IntervalsLowerMeanUpperactive20.7328.8737.00non smoker40.9848.6556.31passive28.7839.9351.08One-way Analysis of Variance (ANOVA F-test)F = 5.6049,p-value = 0.0067857### Difference in mean Performance_Score between Smoker_status groups(col group -row group)Estimatesactivenon smokernon smoker-19.78passive-11.078.71495% Confidence Intervals (adjusted for multiple comparisons)activenon smokernon smoker-34.117-5.444passive-25.845-5.6233.71123.051P-valuesactivenon smokernon smoker0.0047passive0.17610.31 In an investigation on the effect of cigarette smoking on cognitive ability,47 subjects were classified into 3 groups: those who had never smoked (non_smoker),those who were smokers but had not smoked for 24 hours (passive), and those whowere smokers and had been smoking in the 24 hours before the experiment (active).Subjects were then given a complex task to perform and scored for performanceon the task. We will use an analysis of variance (ANOVA) to determine whetherthere is a difference in mean performance score amongst the three levels of smokingstatus. An excerpt from the ANOVA results from iNZight is shown below:

Answer : This is an ANOVA test for three groups,i.e. non smokers, passive smokers and active…

Answered: Total number of observations: 47…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Similar questions

An important property of fiber is its ability to absorb water . Thirty (30) randomly selected pieces of cotton fiber were found to have an average percent absorbency of 20 with a standard deviation of 1.75 . On the other hand , 30 pieces of acetate had an average percent of absorbency of 14 and a standard deviation of 1.50. a. Assuming that the percent absorbency is normally distributed and that the population variances for the two variances are the same , is there convincing evidence to conclude that the mean percent absorbency for cotton fiber is significantly higher than for acetate ? Use a significance level of 0.10. b. What is the p-value of the test statistic ? c. Determine the corresponding confidence interval for the mean difference between the average percent absorbency of the two fibers .
Ten observations on etch uniformity on silicon wafers are taken during a qualification experiment for a plasma etcher. Construct a 95 percent confidence interval estimate of both mean and variance.
An important property of fiber is its ability to absorb water. Thirty (30) randomly selected pieces of cotton fiber were found to have an average percent absorbency of 20 with a standard deviation of 1.75. On the other hand, 30 pieces of acetate had an average percent absorbency of 14 and a standard deviation of 1.50. Assuming that the percent absorbency is normally distributed and that the population variances for the two variances are the same, is there convincing evidence to conclude that the mean percent absorbency for cotton fiber is significantly higher than for acetate? Use a significance level of 0.10. What is the p-value of the test statistic? Determine the corresponding confidence interval for the mean difference between the average percent absorbency of the two fibers.
The personnel director of a large corporation wishes to study absenteeism among clerical workers at the corporation’s central office during the year. A random sample of 24 clerical workers reveals the following: Absenteeism; mean 13.7 days, standard deviation, 4.0 days; 11 clerical workers were absent more than 10 days. a. Construct a 90% confidence interval estimate for the mean number of absences for clerical workers during the year. b. Construct a 99% confidence interval estimate for the population proportion of clerical workers absent more than 10 days during the year.
3.) The percentage of metal alloy used in metal casting is measured in 41 random selected parts. The sample standard deviation is s=0.42. Construct a 95% two-sided confidence interval for ό (variance)
2.) From a simple random sample of 30 Honda Accords (4 cylinder, 2.4 liter, 5-speed automatic), the mean gas mileage was 23 miles per gallon with a standard deviation of 1.5 miles per gallon. Construct a 95% Confidence Interval for the mean gas mileage of similar 2005 Honda Accords.
A large automobile insurance company selected samples of single and married male policy-holders and recorded the number who made an insurance claim over the preeding three-year period. Male Policy Holders: Single Married Sample size 400 900 No. Making claims 76 90 Conduct a hypothesis test to determine whether there is a difference in proportion of claims between single and married male policy holders. Use a 0.05 level of significance Provide a 95% confidence interval for the difference between the proportions for the two populations.
A large automobile insurance company selected samples of single and married male policy-holders and recorded the number who made an insurance claim over the preeding three-year period. Male Policy Holders: Single Married Sample size 400 900 No. Making claims 76 90 Conduct a hypothesis test to determine whether there is a difference in proportion of claims between single and married male policy holders. Use a 0.05 level of significance Provide a 95% confidence interval for the difference between the proportions for the two populations. Suppose now that we also have data on the number of claims by male retirees. The data are now: Male policy holders: Single Married Retirees No. Making claims 76 90 45 Sample size 400 900 250 Assume that the three categories are mutually exclusive. Using a 0.05 significance level and a critical value approach, conduct an appropriate test to determine if there is a significant…
At the .05 level of significance, can we assume equal variances between the populations? What are the proper t-obtained and the p-value of the independent samples t-test? Do you think that there is a statistically significant difference between men and women in terms of the testing variable at the .05 level of significance?
The alkaline batteries of a toy car were designed to last 30 hours, on average. However lots of customers complained that the batteries were lasting less than 30 hours. You decided to randomly sample 38 of the batteries. The mean of the sample was 29.3 hours, and the sample standard deviation of 2.8 hours. Is there sufficient evidence to support the claim that the mean battery life is less than 30? Perform a hypothesis test at the 5% significance level using the p-value approach.a) State null and alternative hypothesisb) Test Statistics c) Critical value d) Conclusion
In a study, two groups of students were considered and their scores were recorded. Use a 0.05 significance level to test the claim that students of group 2 have a higher mean than those of group 1. Group 1 n = 40, sample mean = 78.40, sample standard deviation = 12.87 Group 2 n = 34, sample mean = 81.62, sample standard deviation = 22.09 consider that are 2 samples with non paired data
Average SHS annual cost of tuition fee for all private school last year was 46,300. A random sample of cost this year for 45 private schools indicated that the sample mean was 47,800 and a sample deviation was 5,600. At the 0.10 level of significance, is there sufficient evidence to conclude that the cost has increased?

SEE MORE QUESTIONS

Recommended textbooks for you

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

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

SEE MORE TEXTBOOKS

Total number of observations: 47 Inference of Performance Score by Smoker status: Group Means with 95% Confidence Intervals