1.) Problem : Blood Types and Rh Factors In addition to being grouped into four types, human blood is grouped by its Rhesus (Rh) factor. Consider the figures below which show the distributions of these groups for Americans. 0. AB Rh 37% 34% 10% 4% Rh 6% 6% 2% 1% Choose 1 American at random. Find the probability that the person a. Is a universal donor, i. e., has 0 negative blood b. Has type 0 blood given that the person is Rh c. Has A or AB blood d. Has Rh given that the person has type B
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- 10a. Calculate the population mean monthly salary, µ. There are 15 possible samples of size 4 from the population of six officers. They are listed in the first column of the following table. Sample Salaries А, В, С, D 8, 12, 16, 20 14 А, В, С, Е 8, 12, 16, 24 15 А, В, С, F 8, 12, 16, 28 16 A, B, D, E 8, 12, 20, 24 8, 12, 20, 28 8, 12, 24, 28 16 А, В, D, F А, В, Е, F A, C, D, E 17 18 A, C, D, F А, С, Е, F A, D, E, F В, С, D, E В, С, D, F В, С, Е, F B, D, E, F C, D, E, F b. Complete the second and third columns of the table. c. Complete the dotplot for the sampling distribution of the sample mean for samples of size 4. Locate the population mean on the graph. 14 15 16 17 18 19 20 21 22 d. Obtain the probability that the mean salary of a random sample of four officers will be within 1 (i.e., $1000) of the population mean.Suppose you are interested in buying a new Lincoln Navigator or Town Car. You are standing on the sales lot looking at a model with different options. The list price is on the vehicle. As a salesperson approaches, you wonder what the dealer invoice price is for this model with its options. The following data are based on a random selection of these cars of different models and options. Let y be the dealer invoice (in thousands of dollars) for the given vehicle. x 32.4 32.9 36.1 44.0 47.8 y 30.4 31.0 32.0 42.1 42.2 (b) Use a 10% level of significance to test the claim that ρ > 0. (Use 2 decimal places.) t ? critical t ? (c) Verify that Se ≈ 1.5629, a ≈ 2.5006, and b ≈ 0.8551. Se ? a ? b ? (e) Find a 95% confidence interval for y when x = 42 (thousand dollars). (Use 2 decimal place.) lower limit ? upper limit ? (f) Use a 10% level of significance to test the claim that β > 0. (Use 2 decimal places.) t ? critical t ?
- When two births are randomly selected, the sample space for genders is bb, bg. gb, and gg. Assume that those four outcomes are equally likely. Construct a table that describes the sampling distribution of the sample proportion of girls from two births. Does the mean of the sample proportions equal the proportion of girls in two births? Does the result suggest that a sample proportion an unbiased estimator of a population proportion? For the entire population, assume the probability of having a boy is the probability of having a girl is , and this is not affected by how many boys or girls have previously been born. 2 Determine the probabilities of each sample proportion. Probability Sample proportion of girls Tune intanare or cimnlifiad frartinneH A consulting company would like to evaluate four different methods for training its employees to do a particular job. There are 24 employees that was randomly assign to one of the four methods of training. The employees were trained and tested, and the final results (average performance marks) were collected as shown in Table 6. Method 1 45 59 48 46 38 47 Method 2 21 12 14 17 13 17 Table 6: Average performance marks Method 3 37 32 15 25 39 41 Method 4 16 11 20 21 14 7 Perform the analysis of variance (ANOVA) at the 0.05 level of significance and indicate whether or not the training differs significantly for the four methods.only b,c,d,e. Thank you.
- 4 children. He makes a fast, wrong estimate of the probability of various mixes of boys and girls among QUESTION 3. Mr. Fastwrong is working for the census department and he is counting families that have the families. His assistant, Ms. Slowright, analyzes the issue and corrects his work. Fill her corrections of his wrong guesses into the table below. Number of boys among the 4 children 1 0 4 3 2 Number of girls among the 4 children 0 1 2 4 Use fractions (not percents) in your answers. Mr. Fastwrong's estimate of the fraction of families having this distribution of boys and girls 1/5 1/5 1/5 1/5 1/5 Ms. Slowright's estimate of the fraction of families having this distribution of boys and girls6A random sample of eight pairs of twins was randomly assigned to treatment A or treatment B. The data are given in the following table.Twins : 1 2 3 4 5 6 7 8Treatment A: 48.3 44.6 49.7 40.5 54.3 55.6 45.8 35.4Treatment B: 43.5 43.8 53.7 43.9 54.4 54.7 45.2 34.4a. Is there significant evidence that the two treatments differ using an α = 0.05 paired t test.b. Place a 95% confidence interval on the mean difference between the responses from the two treatments.
- Please show work thank youA research paper describes an experiment in which 74 men were assigned at random to one of four treatments. 1. viewed slides of fit, muscular men 2. viewed slides of fit, muscular men accompanied by diet and fitness-related text 3. viewed slides of fit, muscular men accompanied by text not related to diet and fitness 4. did not view any slides The participants then went to a room to complete a questionnaire. In this room, bowls of pretzels were set out on the tables. A research assistant noted how many pretzels were consumed by each participant while completing the questionnaire. Data consistent with summary quantities given in the paper are given in the following table. Treatment 1 9 6 4 13 1 2 5 9 12 5 2 0 7 4 10 6 0 11 Treatment 2 Treatment 3 7 8 0 3 9 8 7 1 6 8 8 5 13 9 0 7 4 11 5 7 10 8 7 1 10 2 5 1 0 3 0 3 4 4 5 5 6 8 4 0 7 3 Treatment 4 5 2 5 7 5 2 0 0 4 3 2 3 1 1 Do these data provide convincing evidence that the means for the numbers of pretzels consumed are not the same for…a. A random sample of 150 approved mortgage applications is selected from a bank's database. Customers of this bank can choose either variable or interest-only mortgages. These mortgage choices have either a 20-year or 30-year term. The data are displayed i table below. Term Type of Mortgage 20-year Total 30-year 25 Variable 45 Interest Only 40 40 Total Use the table above to answer the questions below. i. If an approved application is selected at random, what is the probability that it is a 30-year term application? ii. If an approved application is randomly selected, what is the probability that the mortgage choice is variable and has a term of 20 years or is interest only and has a term of 20 years?