Racism, juries, and interactions: In a study of racism, Nail, Harton and Decker (2003) had participants read a scenario in which a police officer assaulted a motorist. Half the participants read about an African American officer who assaulted an European American motorist, and half read about a European American officer who assaulted an African American motorist. Participants were categorized based on political orientation: liberal, moderate, or conservative. Participants were told that the officer was acquitted on assault charges in state court but found guilty of violating the motorist’s rights in federal court. Double jeopardy occurs when an individual is tried twice for the same crime. Participants were asked to rate, on a scale of 1-7, the degree to which the officer had been placed in double jeopardy by the second trial. The researchers reported the interaction as F= (2,58)=10.93, p<0.0001. The means for the liberal participants were 3.18 for those who read about the African American officer and 1.91 for those who read about the European American officer. The mean for the moderate participants were 3.50 for those who read about the African American officer and 3.33 for those who read about the European American officer. The means for the conservative participants were 1.25 for those who read about the African American officer and 4.62 for those who read about the European American officer.

a. Draw a table of cell means that includes that actual means for this study.

b. Do the reported statistics indicate that there is a significant interaction? If yes, describe the interaction in your own words.

c. Draw a bar graph that depicts the interaction. Include lines that connect the tops of the bars and show the pattern of the interaction.

d. Is this quantitative or qualitative interaction? Explain

e. Change the cell mean for the conservative participants who read about an African American officer so that this is now a quantitative interaction.

f. Draw a bar graph that depicts the patter that includes the new cell means

g. Change the cell means for the moderate and conservative participants who reads about an African American officer so that there is now no interaction.

h. Draw a bar graph that depicts the pattern that includes the new cell means.

16 Let ? have a normal distribution with ?(?) = 0.2 and ??(?) = 0.08. a. Find ?(? < 0.36) e. Find ? such that ?(? ≤ ?) = 0.05. b. Find ?(? > 0.16) f. Find ? such that ?(? ≥ ?) = 0.10. c. Find ?(? ≥ 0.60) g. Find ? such that ?(? > ?) = 0.80. d. Find 0.28 < ? ≤ 0.40) h. Find ? such that ?(? < ?) = 0.95.

Wally runs a fruit & vege stall Wally’s VegeRama -at the local Sunday market. He can buy watermelons from his supplier for $5 each. He can sell watermelons for $10 Each. On any particular Sunday, demand for watermelons follows a Poisson distribution with mean 5. Any watermelons that are not sold on Sunday go bad before the next weekend. Wally’s current policy is to stock 6 watermelons.

2. How many watermelons should Wally stock to maximise his expected profit? expected profit is 3.0800

Can someone just answer 8 A B C D and E please!!!

Regression Analysis (Excel 2010 & 2007)

1.         Open a new Excel worksheet (which will be saved as REGRESSION.xlsx).  In cell A1 type your name.  In cell A2 type the course and section number (i.e. ECON225-01).  In cell A3 type the date.  Skip cell A4.  In cell A5 type “Assignment: Regression Analysis”.  In cell A6 type “File: REGRESSION.xlsx”.

2.         Type X in cell B8 and type Yin cell C8.  Type Miles in cell B9 and type Minutes  in cell C9.

In cells B10 through B18 enter the following values:

11, 10, 15, 7, 3, 6, 9, 12, 5

                        In cells C10 through C18, enter the following data values:  

                        28, 27, 35, 15, 8, 14, 20, 29, 13  

            Center format cells B8 through C18 for a more professional appearance.

3.         Click on the Datatab in the toolbar, then select Data Analysis. Next, select   Regressionfrom the Analysis Tools and click on OK.  In the Regression dialog boxes type C10:C18in the Input Y Range dialog box, then type B10:B18in the Input X Range dialog box.  Under Output Options select Output Range and type A20:I40in the output range dialog box.  Click onOK. A Summary Output table will appear.

4.         Select cell D27 and type Forecast for Y when X = 13:  Next select cell G27, then click on the Formulas tabin the toolbar, then select More Functions. Under the Function category select Statistical.  Under the Function name select  FORECAST.  In the dialog boxes type 13in the X dialog box, type C10:C18in the Known Y’s dialog box, and type B10:B18in the Known X’s dialog box.  Click on OK. The forecasted value for Y when X=13 will appear in cell G27.

5.         Return to the Home tab in the toolbar.  Select the columns of X and Y data values from B10 through C18(do not select their headings).  Next, click on the Insert tabin the toolbar, under Charts select Scatter, then select the first choice of a scatter diagram graph.    Resize and reposition the scatter diagram to the location of cell E9 for the top left corner of the diagram, and cell I 22 for the bottom right corner of the diagram.  (This will allow everything to fit on one printed page.) Delete the “Series 1” label box. You can label the axes with the variable names (Miles and Minutes) by clicking on the outside corner of the graph, then select Axis Titles in the toolbar. Label both the X and Y axes of the graph with their appropriate variable names.

            (Instructions continue on the next page.)

6.         Next, click any place inside of the scatter diagram. Under the Analysis options, click on Trendline,thenselectLinear Trendline. Click on OK. A trend line will be added to the scatter diagram.  Do a Print Preview to make sure that your graph fits onto the printed page.

7.         Save your worksheet on a disk as REGRESSION.xlsx and print-out the worksheet to submit to the instructor.  

8.         In addition to submitting a print-out of the worksheet(s), also submit typed answers to the following questions, referencing the data in your print-out and your textbook or Notes:

(a)        What is the regression equation for this data set? (Write the printed “a” and “b” values into the equation.  Hint: Under the Coefficient column the value for the Intercept is the value for “a” and the X Variable value is the value for “b”.)

(b)       Interpret the printed value for “a” relative to its definition, the X and Y variable names, and its value.  

(c)        Interpret the printed value for “b” relative to its definition, the X and Y variable names, and its value.

(d)       Interpret the printed value for “r” relative to its definition, the X and Y variable names, and its value.  (**Hint: Under the Regression Statistics section the Multiple R value is the correlation coefficient and the R Square value is the Coefficient of Determination.  The printed table value for “r” does not always indicate direction (+ or -), therefore, check that the sign for your “r” value agrees with the sign for your “b” value.)  

(e)        Interpret the printed value for “r²” relative to its definition, the X and Y variable names, and its value.  

Scenario A: You are a Watch Commander in a large metropolitan police agency. Recently, vehicular burglaries have increase substantially in one of the patrol beats under your command. The Captain thinks a saturation patrol strategy would reduce vehicular burglaries. This patrol strategy involves assigning a large number of patrol resources into the beat during times when vehicular burglaries are likely to occur. The theory behind this is that an increased police presence will deter would be burglars. You have been asked to conduct a study to see if a saturation patrol strategy will reduce vehicular burglaries in this patrol beat. Your alternative hypothesis is; An increase of patrol person hours (measured in hours) in the affected beat will reduce vehicular burglaries (measured in the number of incidents).

1. What is the independent variable in the above hypothesis?

2. What is the level of measurement for the independent variable”?

3. What is the dependent variable in the above hypothesis?

4. What is the level of measurement for the dependent variable?

5. What type (association or difference) of hypothesis is the above hypothesis?

Exhibit: Checking Accounts.

A bank has kept records of the checking balances of its customers and determined that the average daily balance of its customers is $300 with a standard deviation of $56. A random sample of 200 checking accounts is selected. You are interested in calculating the following probabilities below.

For all answers below, do not round intermediate steps if any and round your final solution to 4 decimal places.

(1)Assuming that the population of the checking account balances is normally distributed, what is the probability that a randomly selected account has a balance of more than $305?

(2)What is the probability that the mean balance for the selected sample is above $295?

(3)What is the probability that the mean balance for the selected sample is between $302 and $304?

Another one:

A biology class with 114 students recently had an exam. The mean exam score was 82 and the standard deviation of the exam score was 12.

(1)What is the probability that a random sample of 37 exams has an average score below 84?

I need to prove this with some sort of counting...

Suppose there are some number of people in a room and we need need to consider all possible pairwise combinations of those people to compare their birthdays and look for matches.

An Auditor for a government agency is assigned the task ofevaluating reimbursement for office visits to physicians paid byMedicare. The audit is conducted on a sample of 75 of thereimbursements with the follwing results: In 12 of the office visits, an incorrect amount ofreimbursement was provided. The Amount of reimbursement was mean = $93.70 andS=$34.55 a) At the 0.05 level of significance, is there evidence thatthe mean reimbursement is less than $100? b)At the 0.05 level of significance, is there evidence thatthe proportion of incorrect reimbursements in the population isgreater than 0.10? c) Discuss the underlying assumptions of the test used in(a) d) What is yur answer to (a) if the sample mean equals$90? e) What is your answer to (b) if 15 office visits hadincorrect reimbursements?  

The data shows process completion times in hours of a manufacturing plant prior to and after a scheduled routine maintenance operation:

A.) Evaluate the assumption of normality of the datasets

B.) State and test the hypothesis of equal variance in the test populations

C.) State and test the hypothesis that the maintenance operation has any effect on the processing time

The superintendent of the Middletown school district wants to know which of the districts three schools has the lowest rate of parent satisfaction. He distributes a survey to 1,000 parents in each district which asks if the parent is satisfied with their child’s school, and all of these parents respond. Here are the results school

a. Percentage the table in a way that best answers the superintendent’s question

b. Calculate the percentage point difference between the rate of satisfaction at school A and school B, between the rate of satisfaction at school A and school C, and between the rate of satisfaction at school B and school C. Explain what these numbers mean in English.

c. Calculate the chi square value of this table

d. Are the differences shown in this table statistically significant at the 95% level?

e. Based on what you found in (b) and (d), and using your own judgement, how would you answer the superintendent’s question?

1. A sample of the test scores from Mr. D’s old stats class is given below:

84, 67, 85, 82, 99, 78, 88, 94, 82, 90, 97, 88, 93, 91, 94, 80, 81, 86, 95, 91, 88, 96, 75, 90, 85, 89, 95, 85, 85, 86, 91.

A) Make a relative frequency histogram of the data using 7 classes.

B)According to Chebyshev, for the given data, between what two values could you expect to find 75% of the data?

if we get a “sign.” of 0.652, what is the chance of a Type I error if we reject the Null Hypothesis?

The following data represent petal lengths (in cm) for independent random samples of two species of Iris.

Petal length (in cm) of Iris virginica: x₁; n₁ = 35

Petal length (in cm) of Iris setosa: x₂; n₂ = 38

(a) Use a calculator with mean and standard deviation keys to calculate x₁, s₁, x₂, and s₂. (Round your answers to two decimal places.)

(b) Let μ₁ be the population mean for x₁ and let μ₂ be the population mean for x₂. Find a 99% confidence interval for μ₁ − μ₂. (Round your answers to two decimal places.)

The A&M Hobby Shop carries a line of radio-controlled model racing cars. Demand for the cars is assumed to be constant at a rate of 40 cars per month. The cars cost $60 each, and ordering costs are approximately $15 per order, regardless of the order size. The annual holding cost rate is 20%.

1. Determine the economic order quantity and total annual cost under the assumption that no backorders are permitted. If required, round your answers to two decimal places.
   
   Q^* =
   
   Total Cost = $  
   
2. Using a $45 per-unit per-year backorder cost, determine the minimum cost inventory policy and total annual cost for the model racing cars. If required, round your answers to two decimal places.
   
   S^* =
   
   Total Cost = $  
   
3. What is the maximum number of days a customer would have to wait for a backorder under the policy in part (b)? Assume that the Hobby Shop is open for business 300 days per year. If required, round your answer to two decimal places.
   
   Length of backorder period =  days
   
4. Would you recommend a no-backorder or a backorder inventory policy for this product? Explain. If required, round your answers to two decimal places.
   
   Recommendation would be backorder  inventory policy, since the maximum wait is only  days and the cost savings is $  .
   
5. If the lead time is six days, what is the reorder point for both the no-backorder and backorder inventory policies? If required, round your answers to two decimal places.
   
   Reorder point for no-backorder inventory policy is .
   
   Reorder point for backorder inventory policy is .

1. Wilson Publishing Company produces books for the retail market. Demand for a current book is expected to occur at a constant annual rate of 7,400 copies. The cost of one copy of the book is $12.5. The holding cost is based on an 14% annual rate, and production setup costs are $140 per setup. The equipment on which the book is produced has an annual production volume of 22,500 copies. Wilson has 250 working days per year, and the lead time for a production run is 16 days. Use the production lot size model to compute the following values:

   1. Minimum cost production lot size. Round your answer to the nearest whole number. Do not round intermediate values.
      
      Q^* =
      
   2. Number of production runs per year. Round your answer to two decimal places. Do not round intermediate values.
      
      Number of production runs per year =
      
   3. Cycle time. Round your answer to two decimal places. Do not round intermediate values.
      
      T =  days
      
   4. Length of a production run. Round your answer to two decimal places. Do not round intermediate values.
      
      Production run length =  days
      
   5. Maximum inventory. Round your answer to the nearest whole number. Do not round intermediate values.
      
      Maximum inventory =
      
   6. Total annual cost. Round your answer to the nearest dollar. Do not round intermediate values.
      
      Total annual cost = $  
      
   7. Reorder point. Round your answer to the nearest whole number. Do not round intermediate values.
      
      r =