The following data give the ages (in years) of all six members of a family. 58 51 28 27 22 12 Calculate to 2 decimal places the mean for the population data. Calculate to 2 decimal places the sample mean x for a sample 58, 51, 28, 12. Compute to 2 decimal places the sampling error.
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- Which of the following is a basic step in selecting a sample from a population regardless of the specific technique being used? Select one: a. Identify the population b. All of these option c. Define the sample size d. Select a sampleYou want to provide an overview of the characteristics of the respondents in your sample. Which of the following would you use to provide insight in the age of your respondents? a. A frequency table and a bar chart b. The mode, median and the standard deviation c. The mean and the variance. d. The mean, the median, and the modeYou may need to use the appropriate appendix table or technology to answer this question. The following results come from two independent random samples taken of two populations. Sample 1 Sample 2 n1 = 60 n2 = 25 x1 = 13.6 x2 = 11.6 σ1 = 2.5 σ2 = 3 (a) What is the point estimate of the difference between the two population means? (Use x1 − x2.) (b) Provide a 90% confidence interval for the difference between the two population means. (Use x1 − x2. Round your answers to two decimal places.) to (c) Provide a 95% confidence interval for the difference between the two population means. (Use x1 − x2. Round your answers to two decimal places.) to
- Taha needed to ensure that the total of 1000 staff from all the three departments of a hospital was represented correctly in his research. His sampling frame was thus divided into three categories i.e., the three different departments. The individual cases in each department were then numbered and then selected randomly.For the above case:i) Highlight the target populationii) Identify the sampling technique used andiii) Calculate the sample size. (Note: Students may use Krejcie and Morgan (1979) table where required)Suppose you are a market researcher conducting a study to determine the average household income in Durban North. Your budget allows you to survey only 500 households out of the 50,000 households in that particular suburb. Explain how you would use random sampling to select your sample focusing upon the potential sources of bias and error that may arise in the processPopulation + Sampling Pretend that you are tasked to research about Wits College students' satisfaction. You are basically assessing if students are satisfied with the College. Identify the population of that study. Give a realistic sample. Explain why you chose the sample you have. You need to justify that your sample is ideal for the study.
- 11. Matching the sampling method with the most appropriate description One potential participant is identified, then asked for recommendations for other people to contact for the study. Researchers minimize costs to participants by recruit people living within a particular residential area that offers an easy commute to the study location. Recruitment materials are sent to a random selection of people within 15 Connecticut towns selected at random from state demographic records. The political party affiliation of every registered voter in Connecticut is tallied to determine proportional representation. The Office of Student Life sends survey invitations to random members of each graduating class until they receive a number of responses proportional to the relative size of each class. The Trinity Athletics department asks coaches to help recruit their athletes for participation in a survey of satisfaction with care from the trainer's office. A high school sends a survey to a random…What are the two major differences between stratified random sampling and cluster sampling? (Hint: think about how population is divided and when random selection is done )5. This method is used when the population of interest is large and widely geographically dispersed. Sampling Techniques: A. Simple Random Sampling B. Systematic Random Sampling C. Stratified Sampling D. Cluster Sampling
- Use a graphing calculator to create a scatter plot and find the line of best fit and the correlation coefficient for the following data. Round to the nearest hundredth. X 5 10 15 20 25 30 35 y 1,800 1,750 1,590 1,490 1,400 1,275 1,010In a study, the sample is chosen by grouping people by their city of residence and selecting 10 residents from each city.What is the sampling method? Simple Random Sampling Systematic Sampling Stratified Sampling Cluster Sampling Convenience Samplingb) Caitlyn has to determine how many of the 120 employees in her work place has comprehensive car insurance. She wants to obtain a sample of 40 employees. She selections employees from each department in proportion to the number of individuals the departments Define the term population with relation to the question above. What type of sampling method did Caitlyn use? iii. List two advantages of the sampling method stated in ii). Attached are the number of individuals in each department How many employees from the Marketing department should Caitlyn select to be part of the sample? Another employee suggested that Caitlyn should group employees by the type of car they own. State a reason why grouping the employees in this way will NOT be appropriate to select this sample using the sampling method in ii.