Suppose that a population consists of only 5 members and the values of are as follows. Member 1 2 3 4 5 Y 5 3 5 2 2 Verify that Ybar is an unbiased estimator of μ.
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Suppose that a population consists of only 5 members and the values of are as follows.
| Member | 1 | 2 | 3 | 4 | 5 |
| Y | 5 | 3 | 5 | 2 | 2 |
- Verify that Ybar is an unbiased estimator of μ.
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- D E FSuppose that a population consists of only 5 members and the values of Y are as follows. Member 1 2 3 4 5 Y 5 3 5 2 2 Compute for EY=μ.provide a short write up explaining the nature of the relationship between the boxplots by describing if they are independent or not and how that can be determined from the visualization using numerical information
- 1.The least squares estimate of β0 is i. 2.3176 ii. 0.7176 iii. 0.8824 iv. 1.8990 2. The least squares estimate of β1 is i. 0.4773 ii. 0.2990 iii. 0.2061 iv. 0.9265 3. The linear correlation coefficient r is i. 0.4122 ii. 0.1700 iii. 0.2990 iv. 0.5683Formulate research problems and hypotheses to test the effect between 2 variables (variable X and variable Y). The following presents quantitative data from the measurement results of variables X and Y from a number of individuals (sample) taken randomly from a certain population. The distribution of the measurement data is as follows: No. Resp. 1 2 3 456 789 10 11 12 13 14 15 16 Var.X 11 22 9 5 25 10 13 12 17 16 20 15 18 19 23 28 Var.Y 17 30 12 9 34 15 20 19 24 22 29 21 25 27 31 36 Based on these data, solve the following statistical problems: d. What is the direction of the relationship formed between the X variable and the Y variable?We want to know if the average rating of attractiveness (1=homely, 5=stunning) of a typical person differs depending on the state they are located in. We believe that there will be significant differences in the average attractiveness of the people at each of the four states we examine. 1) Report (in words or statistical notation), our null and alternative hypothesis: Provided are the data we collected from four different states: OR, WA, ID, and CA (see below): OR WA ID CA X bar 3.01 3.07 2.88 3.7 SD 0.42 0.60 0.46 0.30 n 10 10 10 9 SS 92.19 97.47 84.84 123.95 2) Given that we have more than two samples, we need to conduct a one-way ANOVA. Conduct the test in order to calculate the F-statistic addressing our hypothesis. Be sure to calculate the grand mean and the between-groups & within-groups mean-squares first (also don’t forget to round to 2 decimal places and report the formulas!!): 3.) Calculate the degrees…
- 1. Calculate the similarity between these 5 observations using the following 2 methods: a. Matching Coefficient Matrix b. Jaccards Coefficient Matrix Breathing Loss of Sore Observations fever cough fatigue headache difficulty taste throat 1 1. 1 1 2 1. 1 3 1 1 1 4 1 1 1 1 5 1. 1. 1. 185. A team leader tracks the number of items produced by three workers who each work on three different machines for three different days. Here are the data: Data Worker Machine 1 1 15 16 19 12 13 8 12 14 11 17 14 18 7 11 10 12 9. 20 18 17 8 10 11 13 10 11 Using a=0.05, test the following claims: a. The machine used has no effect on the number of items produced. b. The choice of worker has no effect on the number of items produced. c. The interaction between worker and machine has no effect on the number of items produced. 3. 2. 3.
- A statistical program is recommended. The Jacobs Chemical Company wants to estimate the mean time (minutes) required to mix a batch of material on machines produced by three different manufacturers. To limit the cost of testing, four batches of material were mixed on machines produced by each of the three manufacturers. The times needed to mix the material follow. Manufacturer 1 Manufacturer 2 Manufacturer 3 1 21 0 P₂- 27 (a) Define all variables. X₁ 25 23 X₂ 0 Moi Bo = 0 H₂:0 27 Ho: Poo H₂: Po=0 25 30 26 Manufacturer 1 2 3 19 18 Write a multiple regression equation that can be used to analyze the data. E(y) = 22 (b) What are the best estimates of the coefficients in your regression equation? Po - 21 (c) In terms of the regression equation coefficients, what hypotheses must we test to see whether the mean time to mix a batch of material is the same for all three manufacturers? Hoi B₁-B₂=0 H: One or more of the parameters is not equal to zero. OH: One or more of the parameters is not…not a graded question. A question that says: The first and second exam grades X,Yfor a sample of ten students in two Statistics exams were as follows:12) The data are the maximum daily temperatures at Cox-Dayton International Airport for June and July 2018. maximum daily temperatures at Cox-Dayton International Airport for June and July 2018. Date Max (°F) Jun 1 80 Jun 2 82 Jun 3 81 Jun 4 75 Jun 5 76 Jun 6 71 Jun 7 82 Jun 8 85 Jun 9 86 Jun 10 77 Jun 11 75 Jun 12 78 Jun 13 85 Jun 14 82 Jun 15 86 Jun 16 90 Jun 17 92 Jun 18 92 Jun 19 89 Jun 20 85 Jun 21 72 Jun 22 81 Jun 23 79 Jun 24 85 Jun 25 79 Jun 26 79 Jun 27 81 Jun 28 85 Jun 29 89 Jun 30 92 Jul 1 93 Jul 2…
