“Crime Prevention comprises strategies and measures thatseek to reduce the risk of crimes occurring and their potentially harmful effects onindividuals arid society, including fear of crime, by intervening to influence their multiple causes.”
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The Queensland Government is considering increasing the number of police officers employed in a region in Queensland to reduce crime. Before making the final decision on ihe number of police officers to be employed, the Ministry of Police and Corrective Services asked that various regions of similar size throughout Queensland to be surveyed to determine the relationship between ihe number of police officers employed and ihe number of crimes reponed on a given day. The daia collected is stored in the CRIME worksheet in Data file.xls.
(a) What is this analysis’s dependent and independent variables? Briefly explain your selection of the dependent and independent variables.
IJ ciujis
(b) Use an appropriate graphical technique to evaluate whether there is a relationship between
the number of police officers employed and the number of crimes reported. Display the graphical output and interpret ihe result. I.S marks
{cf Use Excel to compute the correlation between the number of police officers employed and the number of dimes reported. Display the correlation value and interpret the result.
M marks
{d) Estimate a simple linear OLS regression model to estimate the relationship between the number of police officers employed and the number of crimes reported. Display the regression summary table. Present the estimated linear equation. Also, interpret both the intercept and slope coefficient estimates of the linear model.
3 marks
{el Display and interpret the value of the coefficient of determination, R-squared (R-).
I.S marks
{0 Predict how many crimes are likely to occur on a given day if 43 police officers are employed. Comment on the validity of the prediction.
1.3 marks
{g) Present a brief report {400 words maximum) summarizing key findings obtained from the work you did in parts {al to (f) for the general audience. Moreover, in the report you are to address some recommendations that propose innovative business solutions for relevant decision makers in relation to the issue of crime prevention dealt with here in this question.
3.5 maria
Task It jamarkif
A manager of a popular suburban resiauram has reduced the number of servers in his restaurant following the impael of the Covid-19 pandemic to his business. He is keen to see if this decision has affected the length of customer wait time. He recorded wiait time (in minutes) of 51 randomly selected customers on a given week. The data are stored in WAIT TIME worksheet in Data fiLe.xls.
(a) Using Exeel, compute ihe sample mean and ihe sample standard deviation of customer wait lime. I mark
lb) Assuming that customer wait time is approximately normally distributed, compute the 95% confidence interval estimations of the true (population) average wait time for all customers. Display all of the required manual calculation work to produce ihe lower and upper limits of the confidence interval.
1 marks
(c) Now, reproduce and display the results from part (b) using the Confidence Interval Estimators Input-Output Workflow.xls. i.s marks
(J) Provide an interpretation of the lower limii and upper limit you obtained in part (b) or(c) in the context of the problem. I j marks
(cl Assuming all other variables to compute the interval estimation are held constant, what would happen to the width of the interval when a larger sample size is used?
I mark
“.’VeH’-CiTf Stock shortages continue into 2023 it neatiCcJncliieior crisis deepens. l~ht’ Sustained shortage ofsemiconductors continues to slam she hr a km tin vehicle ass emhty linen around ihe world. “
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The sustained shortage of semiconductors has led to long delivery times for new cars. The latest estimates predict ihat 4 million new cars have been wiped off production schedules this year. Consequently, a large oar dealership in a metropolitan city reported that the demand for used mid-size passenger sedans in the city has become stronger. The dealership further claimed ihat the a verage selling price for used mid -size passenger sedans is now more than $32.6(10. hn verifying this, a random sample of 13(1 used mid-size passenger sedans is selected. The average price calculated from the sample is $32,900. Assume that the population standard deviation of the price is $1,500.
(a) At the 10% level of significance, conduct a hypothesis test to see if the dealership’s claim
is supported. Display the six steps process (involving drawing the rejection region’s and determining the critical value/s for your decision rule) in performing the test to reach a conclusion. 4 marks
(b) Calculate the p-value of the test above. Also, state the decision rule of Ihe test should a
data analyst want to use the p-value method for hypothesis testing. 2 marks