Example 14.5 Consider Ho: µ1 = H2 = µ3 = l4 = l5(a) Complete the following ANOVA table.%3DSum ofSquares SSDegrees ofFreedom dfSource of VariationMean SquaresFMS132Between samplesWithin samplesTotal53244(b) Test the hypothesis at (i) 5 percent level of significance (ii) 1 percent level of significance andinterpret the results.

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Answered: Example 14.5 Consider H,: H1 = Hz = H3=…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question #3 A newspaper published an article about a study in which researchers subjected laboratory gloves to stress. Among 298 vinyl gloves, 60% leaked viruses. Among 298 latex gloves, 13% leaked viruses. Using the accompanying display of the technology results, and using a 0.01 significance level, test the claim that vinyl gloves have a greater virus leak rate than latex gloves. Let vinyl gloves be population 1. View the technology results. Technology results Pooled proportion: 0.37 Test statistic, z: 11.9063 Critical z: 2.3264 P-value: 0.0000 98% Confidence interval: 0.3896624 < p1 − p2 < 0.5499349 What are the null and alternative hypotheses? A. H0: p1 = p2 H1: p1 < p2 B. H0: p1 = p2 H1: p1 ≠ p2 C. H0: p1 > p2 H1: p1 = p2 D. H0: p1 < p2 H1: p1 = p2 E. H0: p1 = p2 H1: p1 > p2 F. H0: p1 ≠ p2 H1: p1 = p2 Identify the test statistic. ___________ (Round to two decimal places as needed.)…
A researcher has used a one-way analysis of variance model to test whether the average starting salaries differ among recent graduates from the nursing, engineering, business, and education disciplines. She has randomly selected four graduates from each of the four areas. If MSE = 4, and SSTO = 120, complete the following ANOVA table. Is there a significant difference in the starting salaries among the four disciplines? (H0: No difference) Source SS DF MS F Treatment Error 4 Total 120
9-1 A newspaper published an article about a study in which researchers subjected laboratory gloves to stress. Among 270 vinyl gloves, 56% leaked viruses. Among 270 latex gloves, 14% leaked viruses. Using the accompanying display of the technology results, and using a 0.05 significance level, test the claim that vinyl gloves have a greater virus leak rate than latex gloves. Let vinyl gloves be population 1. Pooled proportion: 0.35 Test statistic, z: 10.2980 Critical z: 1.6449 P-value: 0.0000 90% Confidence interval: 0.3617660<p1−p2< 0.4826784 Identify the test statistic. ___ (Round to two decimal places as needed.) Identify the P-value. (Round to three decimal places as needed.) What is the conclusion for this test? The P-value is_____ the significance level α, so the null hypothesis. There is _______ evidence to support the claim that vinyl gloves have a greater virus leak rate than latex gloves.
QUESTION 9 Hypothesis testing on samples with fewer than 30 participants can be carried out by using the t-value for the corresponding level of significance in place of the zvalue when setting up the decision rule. True False
Question #4. US Universities found that 72% of people are concerned about the possibility that their personal records could be stolen over the Internet. If a random sample of 300 college students at a Midwestern university were taken and 228 of them were concerned about the possibility that their personal records could be stolen over the Internet, could you conclude at the 0.025 level of significance that a higher proportion of the university's college students are concerned about Internet theft than the public at large? Report the p-value for this test. Z0.025 = 1.96
In an air pollution experiment, two types of sensors for measuring the amount of sulfur monoxide in the atmosphere are being compared. The goal is to see if the different types of instruments produce measurements with the same variability. For the instrument, the following readings were taken. Test the null hypothesis with a two-tailed test at the 0.05 level of significance, assuming the population of measurements is generally normally distributed.
In ongoing economic analyses, the federal government compares per capita incomes not only among different states but also for the same state at different times. Typically, what the federal government finds is that "poor" states tend to stay poor and "wealthy" states tend to stay wealthy. Would we have gotten information about the 1999 per capita income for a state (denoted by y ) from its 1980 per capita income (denoted by x)? The following bivariate data give the per capita income (in thousands of dollars) for a sample of fifteen states in the years 1980 and 1999 (source: U.S. Bureau of Economic Analysis, Survey of Current Business, May 2000). The data are plotted in the scatter plot in Figure 1. Also given is the product of the 1980 per capita income and the 1999 per capita income for each of the fifteen states. (These products, written in the column labelled " xy ", may aid in calculations.) Question table 1980 per capita income, x (in $1000 s) 1999 per capita…
6.4.10. In a study of factors thought to be responsible for the adverse effects of smoking on human reproduction, cadmium level determinations (nanograms per gram) were made on placenta tissue of a sample of 14 mothers who were smokers and an independent random sample of 18 nonsmoking mothers. The results were as follows: Nonsmokers: 10.0.8.4. 12.8, 25.0, 11.8.9.8. 12.5, 15.4.23.5, 9.4. 25.1, 19.5. 25.5.9.8. 7.5, 11.8, 12.2, 15.0 Smokers: 30.0, 30.1, 15.0, 24.1, 30.5, 17.8, 16.8, 14.8, 13.4, 28.5, 17.5, 14.4, 12.5, 20.4 Does it appear likely that the mean cadmium level is higher among smokers than nonsmokers? Why do you reach this conclusion?
Question 3 Edex limited is a renowned agricultural chemical manufacturer in Australia. They conduct many research and development in the field of Agri and Horticulture. Company wanted to examine the effect of temperature on farming of their selected range of products. Company has produced following results based on their data gathering. 15° C 35 24 36 39 32 25° C 30 31 34 23 27 35° C 23 28 28 30 31 You are required to answer following questions; 1. State the null and alternative hypothesis for single factor ANOVA to test for any significant difference in the perception among three groups. 2. State the decision rule at 5% significance level. 3. Calculate the test statistic. 4. Based on the calculated test statistics, decide whether there are any significant differences between the yield based on the given temperature levels.
A researcher conducts a two-year study comparing the number of cavities in a group of 30 randomly selected young children from the community before and after the application of fluoride to test if there is a decrease in the number of cavities. This is an example of a/an: Independent-samples t test or Dependent-samples t test?
Question 2 There is a claim that drink driving has been very common in high ways. The Highway Police randomly caught 300 drivers for breath alcohol test and found that 14% of drivers have breath alcohol over the legal limit. At 4% level of significance, use the p-value approach to test the hypothesis that the percentage of drivers who are drink driving is more than 10%.
In ongoing economic analyses, the U.S. federal government compares per capita incomes not only among different states but also for the same state at different times. Typically, what the federal government finds is that "poor" states tend to stay poor and "wealthy" states tend to stay wealthy. Would we have been able to predict the 1999 per capita income for a state (denoted by y ) from its 1980 per capita income (denoted by x )? The following bivariate data give the per capita income (in thousands of dollars) for a sample of fourteen states in the years 1980 and 1999 (source: U.S. Bureau of Economic Analysis, Survey of Current Business, May 2000 ). The data are plotted in the scatter plot in Figure 1, and the least-squares regression line is drawn. The equation for this line is =y+0.382.75x . 1980 per capita income, x(in $1000s) 1999 per capita income, y(in $1000s) South Dakota 8.1 25.1 Utah 8.5 23.4 West Virginia 8.2 20.9…

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