A researcher wants to know the percentage of villages in a certain African country that have accessto a clean drinking water source less than 1/4 mile from the center of the village. The country isdivided into 12 districts and each district has many villages in it, as indicated in the table below. Theresearcher selects a random sample of 10% of the villages from each district.DistrictNumber of VillagesNumber SelectedABCDEFGHIJKL50 40 30 80 50 30 80 90 20 20 40 705 4 3 8 5 3 8 9 2 2 4 7Which of the following terms best describes this sampling method?(A) Simple random sampling(B) Stratified random sampling(C) Cluster sampling(D) Matched-pairs sampling(E) Voluntary response sampling

Before we can identify the type of sampling method used, we need to understand what each type of…

Answered: A researcher wants to know the…

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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In a study comparing banks in two countries, a sample of 142 matched pairs of banks was formed. Each pair contained one bank from country x and one from country y. The pairings were made in such a way that the two members were as similar as possible in regard to such factors as size and age. The ratio of total loans outstanding to total assets was calculated for each of the banks. For this ratio, the sample mean difference (country x - country y) was 0.0579, and the sample standard deviation of the differences was 0.3086. Test, against a two-sided alternative, the null hypothesis that the two population means are equal. (Assume α = 0.01.) Click the icon to view the critical values of the Student's t distribution. Which of the following correctly states Ho and H₁ ? A. Ho: Mx Hy = 0 H₁: Hx-Hy >0 OC. Ho: Mx Hy ‡0 Hi HxHy=0 - O E. Ho: Mx Hy = 0 H₁: Hx-Hy <0 B. Ho: Mx Hy = 0 H₁: Hx-Hy #0 D. Ho: Hx-Hy = 0 H₁: Hx-Hy 20 OF. Ho: Mx Hy = = 0 H₁: Hx-Hy ≤0
In a study comparing banks in two countries, a sample of 142 matched pairs of banks was formed. Each pair contained one bank from country x and one from country y. The pairings were made in such a way that the two members were as similar as possible in regard to such factors as size and age. The ratio of total loans outstanding to total assets was calculated for each of the banks. For this ratio, the sample mean difference (country x - country y) was 0.0579, and the sample standard deviation of the differences was 0.3086. Test, against a two-sided alternative, the null hypothesis that the two population means are equal. (Assume α = 0.01.) Click the icon to view the critical values of the Student's t distribution. The test statistic is t = 2.236. (Round to three decimal places as needed.) The critical value(s) is(are) (Round to three decimal places as needed. Use a comma to separate answers as needed.)
Describe a method for getting a fair and unbiased simple random sample of 12 people if you have a group of 200 people to choose from.
GMU uses a robot food delivery service which now has been utilized in the City of Fairfax. One of the potential benefits of this service is to help the busiest students eat breakfast. Research has shown that about 80% of college students skip breakfast due to busy schedules and other reasons. Initial data were collected from a random sample of 595 Mason students who utilize the robot food delivery service and are presented in StatCrunch. Show the full calculation of the sample proportion by including the number of students who skipped breakfast, the total number of students sampled, and the value of the sample proportion. Present this sample proportion as a decimal rounded to four decimal places. Frequency table results for Breakfast?Count = 595 Breakfast? Frequency Relative Frequency 0 142 0.23865546 1 453 0.76134454
A biologist wants to determine if different temperatures (15oC, 25oC, or 35oC) and amounts of sunlight (partial or full) will affect the growth of plants. He will test each combination of temperature and sunlight by randomly assigning 15 plants to each of the combinations. What type of sampling is described in this study? one sample paired data two samples more than two samples
Suppose we conducted an experiment to examining differences in watermelon weight (kg) between two types of watermelon plant (hybrid and non-hybrid) exposed to two different sunlight exposure (30%, 50%). Table below shows the recorded data. 30% 50% Hybrid Non-hybrid 1.6, 1.8, 1.5 2.9, 3.1, 2.8 1.4, 1.7, 1.2 2.2, 2.4, 2.2 1. What is the number of replications? 2. What is the experimental unit? 3. What is the response variable?
An executive at the home office of Big Rock Life Insurance is considering three branch managers as candidates for promotion to vice president. The branch reports include records showing sales volume for each salesperson in the branch (in hundreds of thousands of dollars). A random sample of these records was selected for salespersons in each branch. All three branches are located in cities in which per capita income is the same. The executive wishes to compare these samples to see if there is a significant difference in performance of salespersons in the three different branches. If so, the information will be used to determine which of the managers to promote. Branch Managed by Adams Branch Managed by McDale Branch Managed by Vasquez 7.8 8.8 6.5 6.6 10.3 8.7 10.1 11.7 10.1 10.6 9.4 11.4 9.1 10.2 Use a 1% level of significance. Shall we reject or not reject the claim that there are no differences among the performances of the salespersons in the different…
To collect data about the number of students in your high school who have a part time job, which of the following methods is most likely to lead to a sample that is the most representative of the students in your school? Interview all the girls in the school. Ask the principal. Interview all the students in 9th grade. Assign each student in the school a number and randomly select students to be interviewed. Interview all the students who are on the sports teams in the school.
The state highway department is studying traffic patterns on one of the busiest highways in the state. As part of the study. the department needs to estimate the average number of vehicles that pass an intersection each day. One of the department's officer (Officer A) claims that on average, more than 15,000 cars passing the intersection. On the other hand. Officer B claims that on average, 18,000 cars passing the intersection. Meanwhile, a random sample of 64 days gives a sample mean of 14,205 cars and a sample standard deviation of 1,010 cars. Test both claim at 0.05 level of significance. Use the critical value approach and show the complete calculation steps for each testing. Whose claim is true? Testing Officer A's claim Step 1: State the hypotheses Step 2: Find critical value and state the decision rule Step 3: Compute the test value Step 4: Make decision Step 5: Conclusion Testing Officer B's claim Step 1: State the hypotheses Step 2: Find critical value and state the decision…
The American Water Works Association reports that, The average household water usage is more than 10 gallons per day. However, in a pandemic like this, it is suspected that there is a change in household water consumption. A researcher conducted a survey and took samples of 12 household heads and asked about the use of the gallon water. The data obtained are as follows: 74, 8, 13, 17, 13, 15, 12, 13, 15, 16, 9, 7. If it is known that the data is normally distributed. Use a significance level of 5% to test whether the average household water use has increased (greater than 10 gallons)? What will happen if the household's water use increases by 5% from the previous one? Analyze your answer and come up with a conclusion!
A government official is in charge of allocating social programs throughout the city of Vancouver. He will decide where these social outreach programs shoulde located based on the percentage of residents living below the poverty line in each region of the city. He takes a simple random sample of 130 people living in Gastown and finds that 21 have an annual income that is below the poverty line. Part i) The proportion of the 130 people who are living below the poverty line, 21/130, is a: A. parameter. B. statistic. C. variable of interest. Part ii) Use the sample data to compute a 95% confidence interval for the true proportion of Gastown residents living below the poverty line. (Please carry answers to at least six decimal places in intermediate steps. Give your final answer to the nearest three decimal places). 00 95% confidence interval=
A study was conducted to determine how people get jobs. The table list date from 400 randomly selected subjects. The data are bases on results from the National centter for Career Strategies. Job source of survey respondent FREQUENCIES HELP-WANTED ads 56 EXECUTIVE SEARCH FIRMS 44 NETWORKING 280 MASS MAILING 20 TOTAL 1. What percentage of the respondents got job by either help-wanted ads or mass mailing? 2. What percentage of the respondent got jobs from networking?

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