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##### QNT 351 Week 5 Problems

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Question;QNT 351 Week 5 Problems;1. Which hypothesis, the null or the;alternative, is the status-quo hypothesis?;2. What is the;level of significance of a test of hypothesis?;3. For each of the following;rejection regions, sketch the sampling distribution for z and indicate the;location of the rejection region, and determine the probability that a Type I;error will be made.;4. A survey found that 55% of college;professors believe that their online education courses are as good as or;superior to courses that use traditional face-to-face instruction.;5. A university economist conducted a;study of elementary school lunch menus. During the state-mandated testing;period, school lunches averaged 881 calories. The economist claimed that after;the testing period ended, the average caloric content of the school lunches;increased significantly. Set up the null and alternative hypothesis to test the;economist?s claim.;6. A random sample of 100;observations from a population with standard deviation 65 yielded a sample mean;of 111. Complete parts a trough c.;a.;Test the null hypothesis that ?=100 against the alternative hypothesis that;?>100, using?=0.05. Interpret the results of the test.;b.;Test the null hypothesis that ?=100 against the alternative hypothesis that;??100, using?=0.05. Interpret the results of the test.;c.;Compare the results of the two tests you conducted. Explain why the results;differ. Choose the correct answer bellow.;7. A study of n=59 hospital employees;found that the number of latex gloves used per week by the sampled workers is;summarized by x = 23.1 and s = 13.7. Let ? represent the mean number of latex;gloves used per week by all hospitals employees. Consider testing H0: ?=27;against Ha: ? 0. How would you answer to part b change?;d.;Test the null hypothesis H0: (?1-?2) = 22 versus Ha: (?1-?2)?22. Give the;significance level, and interpret the results.;e.;What assumptions are necessary to ensure the validity of the inferential;procedures applied in parts a-d?;10. To use the t-statistic to test;for a difference between the means of two populations, what assumptions must be;made about the two populations? About the two samples?;What;assumption must be made about the two populations? Select all that apply.;What;assumption must be made about the two samples? Select all that apply.;11. The data in the table to the;right resulted from an experiment that utilized a completely randomized design.;Use this information to complete parts a and b;12. A survey was conducted to;determine the impact of contamination on property values. Home owners were;randomly selected from each of seven states ? A, B, C, D, E, F and G. Each;homeowner was asked to estimate the property value of a home located in an area;contaminated by a certain substance. The dependent variable of interest was the;substance discount percentage (the difference between the current home value;and the estimated value after contamination, as a percentage). The;researchers were interested in comparing the mean substance discount;percentages across the seven states. Complete parts a and b.;a.;Give the null and alternative hypotheses of interest to the researchers. Choose;the correct answer bellow.;b.;An ANOVA summary table is shown to the right. Use the information provided to;conduct the hypothesis test, part a. Use a = 0.10;What;is the rejection region? Select the correct choice bellow and fill in the;answer boxes to complete your choice.;Determine;the conclusion for the hypothesis test. Choose the correct answer bellow.;13. In the production of commercial;eggs in a region, four different types of housing systems for the chickens are;used: cage, barn, free range, and organic. The characteristics of eggs produced;from the four systems were investigated. Twenty-five commercial grade A eggs;were randomly selected from supermarket-10 of which were produced in cages, 5;in barns with free range, and 5 organic. A number of quantitative;characteristics compared the means of the four housing systems, Minitab;descriptive statics and AVONA pointouts for each characteristic are shown in;the accompanying display. Fully interpret the results. Identify the;characteristic for which housing systems differ.;14. Explain what each of the;following sample correlation coefficients tells you about the relationship;between the x and y values in the sample.;a. r=1 b. r=-1;c. r=0 d. r=0.9 e. r=0.08;f. r= -0.97;a.;What relationship exists between the x and y values in the sample?;b.;What relationship exists between the x and y values in the sample?;c.;What relationship exists between the x and y values in the sample?;d.;What relationship exists between the x and y values in the sample?;e.;What relationship exists between the x and y values in the sample?;f.;What relationship exists between the x and y values in the sample?;15.;A study was conducted to determine if taller people earn more money over their;career than short people. Using data collected from 2244 individuals from;various careers, the researchers computed the correlation between average;earnings over the past decade and height. The result are given in the table.;Complete parts a through e below

Paper#52174 | Written in 18-Jul-2015

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