(a)(b)Do these data provide sufficient evidence to indicate at the 5% significance levelthat the three models are not equally preferred? State the hypotheses, perform theappropriate test with R, report the observed test statistic, make a statisticaldecision, and draw the implied conclusion. Provide both code and printout from R.(C)What is the variable of interest? Is it qualitative or quantitative? If it is qualitative,is it ranked or unranked? If it is quantitative, is it discrete or continuous? What isits level of measurement? What is the experimental design? Explain your answers.(d)Calculate the test statistic manually for the test you performed with R in part (b).Does your test statistic match the one reported by R?What are the requirements of the test you performed in parts (b) and (c)? Are theysatisfied this time, or do you have to assume that they are met? Provide evidenceto support these conclusions. Suppose the HR manager of a company is interested in determining whether there is adifference in employee satisfaction across three different office locations. Theyrandomly select 20 employees and ask each employee to rate their satisfaction witheach office location on a scale of 1 (very dissatisfied) to 5 (very satisfied). The data arepresented below:EmployeeHNM st in 678012345891011Office LocationLocation Location LocationBс435N & MINN24352412 13 14 15 16 17 18 19 20MINN MINN453452332L435243m st43WNS WANUAWN SE523452435233MNAMIN NAMIN INI Min min2435243525432425354

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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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A suburban hotel derives its revenue from its hotel and restaurant operations. Theowners are interested in the relationship between the number of rooms occupied on anightly basis and the revenue per day in the restaurant. Below is a sample of 25 days(Monday through Thursday) from last year showing the restaurant income and numberof rooms occupied.
A simple random sample of front-seat occupants involved in car crashes is obtained. Among3000occupants not wearing seat belts,36were killed. Among 7697occupants wearing seat belts,18were killed. Use a0.05significance level to test the claim that seat belts are effective in reducing fatalities. Complete parts (a) through (c) below.
In a project for a botany class, 15 sunflower seeds were randomly assigned to and planted inpots whose soil had been subjected to one of three fertilizer treatments. Twelve of the seedsgerminated, and the table below shows the height of each plant (in cm) 2 weeks aftergermination. Test at the 5% significance level whether there is any association between brandand customer satisfaction level.Treatment 1 Treatment 2 Treatment 325 40 3626 37 2531 30 2635 33 2437 25 24
Suppose a researcher is interested inthe effectiveness in a new childhood exercise program implemented in a SRS of schools across a particular county. In order to test the hypothesis that the new program decreases BMI (Kg/m2), the researcher takes a SRS of children from schools where the program is employed and a SRS from schools that do not employ the program and compares the results. Assume the following table represents the SRSs of students and their BMIs. Student intervention group BMI (kg/m2) Student control group BMI (kg/m2) A 18.6 A 21.6 B 18.2 B 18.9 C 19.5 C 19.4 D 18.9 D 22.6 E 24.1 F 23.6 A) Assuming that all the necessary conditions are met (normality, independence, etc.) carry out the appropriate statistical test to determine if the new exercise program is effective. Use an alpha level of 0.05. Do not assume equal variances.B) Construct a 95% confidence interval about your estimate for the average difference in BMI between the groups.
A sales manager would like to prove that the volume of profitable orders for Service A is higherthan Service B. If it is found that 135 of 215 orders of Service A are profitable, and 90 of 188orders of Service B are profitable, can we conclude at the 0.05 level of significance that volume of profitable orders is higher for Service A? Assume both samples came from a population that isnormally distributed.
A researcher wanted to determine if carpeted rooms contain more bacteria than uncarpeted rooms. The table shows the results for the number of bacteria per cubic foot for both types of rooms. Full data set Carpeted Uncarpeted 7.5 14.9 9.4 5.1 10.6 4.2 9.2 12.7 9.9 13.3 9.3 4.2 6.9 11.1 7.5 12.5 Determine whether carpeted rooms have more bacteria than uncarpeted rooms at the α=0.05 level of significance. Normal probability plots indicate that the data are approximately normal and boxplots indicate that there are no outliers. State the null and alternative hypotheses. Let population 1 be carpeted rooms and population 2 be uncarpeted rooms. A. H0: μ1=μ2 H1: μ1>μ2 This is the correct answer. B. H0: μ1<μ2 H1: μ1>μ2 C. H0: μ1=μ2 H1: μ1≠μ2 D. H0: μ1=μ2 H1: μ1<μ2 Your answer is not correct. Determine the P-value for this hypothesis test. P-value=nothing…
According to a certain government agency for a large country, the proportion of fatal traffic accidents in the country in which the driver had a positive blood alcohol concentration (BAC) is 0.33.Suppose a random sample of 109 traffic fatalities in a certain region results in 47that involved a positive BAC. Does the sample evidence suggest that the region has a higher proportion of traffic fatalities involving a positive BAC than the country at the α=0.05 level of significance?
The data in the table below presents the hourly quantity of production for three lines of productionprocesses over the first 4 days in XYZ Company. Answer the questions based on the Excel Output givenbelow.Day Process 1 Process 2 Process 31 33 33 282 30 35 363 28 30 304 29 38 34 ANOVA: Single FactorSUMMARYGroups Count Sum Average VarianceProcess 1 4 120 30 4.66667Process 2 4 136 34 11.3333Process 3 4 128 32 13.3333 ANOVSource of Variation SS df MS F P valueBetween Groups 32 ? ? ?Within Groups 88 ? ?Total 120 11a. State the null and…
To evaluate the coagulation effects of three drugs, 30 healthy volunteers were randomly assigned into 3 groups and injected with different drugs. Their relevant coagulation times were measured as follows A(group=1): 36.8 34.4 34.3 35.7 33.2 31.1 34.3 29.8 35.4 31.2B(group=2): 40.0 35.5 36.7 39.3 40.1 36.8 33.4 38.3 38.4 39.8C(group=3): 32.9 37.9 30.5 31.1 34.7 37.6 40.2 38.1 32.4 35.6Questions: ① If you want to evaluate whether the coagulation effects of the three drugs are different, which method should be used? and what are the model assumptionsfor the application of this method?② Compare the difference of the coagulation effects among three drugs by SPSS,present the main results and make interpretation.③ Make pairwise comparisons of the efficacy of the three drugs, write out the method of pairwise comparison you adopted (just write one method) and the corresponding p-values.
A psychologist at a private mental hospital was asked to determine whether there was a clear difference in the length of stay for patients with different categories of diagnosis. Looking at the last four patients in each of the three major categories, the results (in terms of weeks of stay) were as follows: Diagnosis Category Affective Disorders Cognitive Disorders Drug-Related Conditions 7 12 8 6 8 10 5 9 12 6 11 10 Using alpha = 0.05, is there a significant difference in length of stay among diagnosis categories? Show all five steps of hypothesis testing. For additional practice, compute the means and standard deviations for each group. What is the purpose of a post hoc test? What does it tell us? Explain why we do not need a post hoc test if there are only two groups in our study. Conduct Tukey's HSD post hoc test to determine where there is a difference in the three groups.
A psychologist at a private mental hospital was asked to determine whether there was a clear difference in the length of stay for patients with different categories of diagnosis. Looking at the last four patients in each of the three major categories, the results (in terms of weeks of stay) were as follows: Diagnosis Category Affective Disorders Cognitive Disorders Drug-Related Conditions 7 12 8 6 8 10 5 9 12 6 11 10 Using alpha = 0.05, is there a significant difference in length of stay among diagnosis categories? Show all five steps of hypothesis testing and compute the means and standard deviations for each group.
When companies are designing a new product, one of the steps typically taken is to see how potential buyers react to a picture or prototype of the proposed product. The product-development team for a notebook computer company has shown picture A to a large sample of potential buyers and picture B to another, asking each person to indicate what they "would expect to pay" for such a product. The data resulting from the two pictures are provided in file (sheet 6). Using the 0.05 level of significance, determine whether the prototypes might not really differ in terms of the price that potential buyers would expect to pay. Sheet 6 ComputerA ComputerB 3 317 2 965 2 680 3 083 3 286 3 137 2 859 2 950 2 693 3 161 2 945 2 918 2 908 3 158 3 193 3 082 3 240 2 903 3 040 3 103…

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