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- Population Parameters and Sample Statistics: Determine whether the value being discussed is a population parameter or sample statistic: a) About 95% of adults in America had chickenpox before the age of 18. Select an answer b) In a sample of 300 students who passed statistics, 70% used statistics in their future careers. Select an answer c) Using Consumer Reports, a random sample of new cars gave an average of mpg 30.5. Select an answer d) Facebook recently tested all of their servers and found that 99% were performing as intended Select an answer Select an answer Population Parameter Sample StatisticA state fisheries commission wants to estimate the number of bass caught in a given lake during a season in order to restock the lake with the appropriate number of young fish. The commission could get a fairly accurate assessment of the seasonal catch by extensive “netting sweeps" of the lake before and after a season, but this technique is much too expensive to be done routinely. Therefore, the commission samples a number of lakes and record the seasonal catch (thousands of bass per square mile of lake area) and size of lake (square miles). A simple linear regression was performed and the following R output obtained. Estimate Std. Error t value Pr(>|t|) (Intercept) 2.5463 0.4427 5.7513 0.0000 size 0.0667 0.3672 0.1818 0.8578 If a scatterplot showed a non-linear relationship between the response and explanatory variables, what should be done? O Nothing. Continue the analysis as is. Stop the analysis. Perform a natural log transformation on the response variable first. O Perform a…Vitamin E and the Risk of Prostate Cancer: Klien et al (2011) conducted the following study to determine the effect of vitamin E and selenium treatment on the risk of developing prostate cancer in healthy men. A total of 34,887 men from different study sites in the United States, Canada, and Puerto Rico were randomly selected. To be eligible to participate, the men had to take a rectal examination that showed he was not suspicious of having prostate cancer and be aged 50 years or older for black men and 55 years or older for all others. Each man was randomly assigned to receive one of four treatments: selenium, vitamin E, selenium and vitamin E together, or a placebo. The men were followed up after 8 years to see if they had developed prostate cancer or not. The main question of interest is to determine if the risk of developing prostate cancer differs by the treatment taken. The data are summarized in the table below: No Prostate Cancer Prostate Cancer Total Selenium 8,752 8,737 8,702…
- An experiment to determine the most effective way to teach safety principles applied four different teaching methods. Some employees were given programmed instruction booklets and worked through the course at their own pace. Other employees attended lectures. A third group watched a television presentation, and a fourth group was divided into small discussion groups. A high of 10 was possible. A sample of five tests was selected from each group. The test grade results were: Sample Number Programmed Instruction Lecture TV Group Discussion 1 6 8 7 8 2 7 5 9 5 3 6 8 6 6 4 5 6 8 6 5 6 8 5 5 At the 0.01 level, what is the critical value? Multiple Choice 1.00 1.96 3.24 5.29Question 1Explain the following concepts:(a) Parameter(b) Stratified random sampling (c) Descriptive statistics (d) Inferential statistics Elaborate the answers according to the question. Thank you.(5) A certain educational institute has 15 centers located at different places in a city. There are three telephone operators in each center. The manager wanted to estimate the average number of calls received per telephone per week for this institute. He decided to select four centers and the number of calls received on last week for each operator were recorded. The data collected are given in Table 02. Answer the following questions. Table 02: Number of calls received for each operator 25, 15, 30 18, 12, 10 20, 18, 22 15, 20, 18 Center 1 4 (i) (ii) What is the sampling method used in this study? Justify your answer. Estimate the average number of telephone calls received per telephone operator.
- Compare and contrast (a.) single-sample t tests, (b.) paired sample t tests, and (c.) independent sample ttests in terms of participants recruited, data collected from each participant, and information we need toconduct the analysis.At an assembly plant, workers assemble parts for a piece of farm equipment. The supervisor conducted an experiment to compare the effectiveness of three assembly methods, A, B, and C. Eighteen employees were randomly assigned, six employees each, to one of the three methods. After completing their training, each person was asked to assemble five pieces of equipment using his or her training method. The average time to complete the assembly of all five pieces of equipment was recorded. (a) What type of study design is used? O independent groups design O repeated measures design O matched pairs design O randomized block design What are the experimental units in this study? O the 18 employees O the five pieces of equipment to be assembled O the three assembly methods O the average time to assemble five pieces of equipment (b) What are the treatments? O the 18 employees O the five pieces of equipment to be assembled O the three assembly methods the average time to assemble five pieces of…IBL Company manager asked his statistic team to give to the production department the data on the number of phones manufactured over the 17 months.. The data collected are as follows: Months 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 REQUIRED # of phones produced 2045 1566 1207 4563 5052 3465 2542 4134 3567 5163 4563 7453 2621 4772 4563 5052 2846 1. Calculate the following using the data provided on the table: a. the mean b. median c. mode 2. Find the Quartile 1, Quartile 3 and inter-quartile of the phones produced 3. Why is the quartile important? What purpose does it serve? 4. Why is median preferred to mean in certain circumstances? 5. How do we call data when Mode >Median >Mean and show with a diagram how such distribution looks? 6. Explain and compare parameters and statistics.
- YOU are in charge of a new products being launched by "Incredible Circuits". Mr. Eleck Trikal, C.E.O. of the company, has seen the need to calculate the Reliability of his new product after 10, 20, 30, and 50 hours of use. This new product is basically made with four components: A B, C, and D; and its design is included below: BAB As a good manufacturing engineer, you take 10 samples for each component, and test them until failure. The following are the times obtained: COMPONENT A: 8, 9, 18, 28, 35+, 43+, 59+, 65, 75, and 78 (+ means censoring) COMPONENT B: 8, 17+, 22, 29, 35, 39, 49+, 55, 59+, and 78 (+ means censoring) COMPONENT C: 2, 23, 24, 35+, 53, 55, 62+, 66+, 76, and 83 (+ means censoring) COMPONENT D: 3, 18, 24, 35, 38, 49, 58, 59, 66, and 79 (no censoring)Hospitals In a study of births in New York State, data were collected from four hospitals coded as follows: (1) Albany Medical Center; (1438) Bellevue Hospital Center; (66) Olean General Hospital; (413) Strong Memorial Hospital. Does it make sense to calculate the average (mean) of the numbers 1, 1438, 66, and 413?A method or a set of procedures of using sample data to estimate a population parameter is called A. statistical inference B. statistical interference C. statistical appliance D. statistical description