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#########e;h#Q##5.f]&>?{##QT,,%EjDFa#(!""##)*`/h #]Y#b,{g'GMq# B.|#K##}#P#9F@O`9G#e#}#=#z0c ; ? 3gFW^~M`k#*0x#8#~##>r#,#@i#(~7#)#]CzzEe #####c @+#}t8#<|{Av=sg]GY? #lx7<##~H, ^{D#4_M'X' .-^HC ? N )l]1\\###.#>#!#1#I#CQWj(#%? RPJ #02 #02 #2 +2 +2 'p2 'p2 '2 /2 /2 ##2 ##2 #2(#2(#2DF"#H#7#yJ### Question 6 Back in 2005, California reported an average of 6511 crimes (per 100,000 residents) for its various counties. A research group in California decided to assess if the average crime rate for the year 2010 (the most recent year data is available) appears to have increased over the 6511 (per 100,000) by taking a random sample of 84 counties and measuring for each the number of crimes (per 100,000) for the year 2010. The data have been provided in the Rdata set called crime.Rdata. You have been asked to use the data to test (at a 10% level) the following hypotheses: H0: = 6511 versus Ha: > 6511. 6.a The hypotheses involve the parameter . Is this definition for the parameter correct or incorrect? \" = the population average crime rate (number of crimes per 100,000 residents) reported in 2010 for all counties in California.\" Correct Incorrect 6.b Generate the R Commander output to perform the t test (use a test value of 6511). Copy the onesample test output from R Commander and paste it in as your answer. 6.c Which of the following are the correct values for the test statistic and p-value to test the desired hypotheses? t = 2.139 and p-value = 0.07 t = 2.139 and p-value = 0.035 t = 2.139 and p-value = 0.0175 t = -2.139 and p-value = 0.9825 6.d At the 10% significance level which of the following is the correct statistical decision and conclusion? Reject H0 and conclude there is sufficient evidence to say the population average crime rate appears to have increased over the 6511 (per 100,000). Fail to reject H0 and conclude there is sufficient evidence to say the population average crime rate for 2010 appears to have increased over the 6511 (per 100,000). Reject H0 and conclude there is not sufficient evidence to say the population average crime rate for 2010 appears to have increased over the 6511 (per 100,000). Fail to reject H0 and conclude there is not sufficient evidence to say the population average crime rate for 2010 appears to have increased over the 6511 (per 100,000). Question 7 : True or False: Suppose that a set of data has been collected over time. A time plot of the data set shows an increasing trend. This means that we have evidence that the observations are not iid (independent, identically distributed). True False Question 8 Consider the following hypotheses: H0: The watch is waterproof. Ha: The watch is not waterproof. Think about what would be a Type 1 and a Type 2 error for these hypotheses. 8.a In this situation, which error would be worse? Type 1 error Type 2 error 8.b Provide a brief sentence to explain the consequence(s) of such an error. Make sure that your explanation is in context. Question 9 : The following statement is FALSE. "If a model for scores on a placement test for incoming freshmen is skewed left and a large number of such students (say n = 200) is randomly selected, then the model for placement test scores will become approximately normal." According to the Central Limit Theorem, which of the following would have approxiately a normal distribution in this situation? the individual placement test scores for freshmen the population mean placement test score for all freshmen the sample mean placement test score for all freshmen Question 10 During a medical emergency, people who dial 911 expect an ambulance to arrive quickly and personnel to provide vital care. A random sample of ambulance response times in minutes were collected. A 95% confidence interval for the population mean response time for ambulances is found to be 7.5 minutes to 9.5 minutes. 10.a What is the sample mean for the response time? 7.5 minutes 8.5 minutes 9.5 minutes Cannot be determined 10.b A fixed level of significance of 5% was selected to test the hypotheses H_0:\\mu=7.8 minutes vs. H_a:\\mu\ eq 7.8 minutes. What would be your statistical decision? Reject H0 Fail to Reject H0 Cannot Tell 10.c A fixed level of significance of 10% was selected to test the hypotheses H_0:\\mu=7.8 minutes vs. H_a:\\mu\ eq 7.8 minutes. What would be your statistical decision? Reject H0 Fail to Reject H0 Cannot Tell 10.d A fixed level of significance of 10% was selected to test the hypotheses minutes vs. minutes. What would be your statistical decision? Reject H0 Fail to Reject H0 Cannot Tell #########e;h#Q##5.f]&>?{##QT,,%EjDFa#(!""##)*`/h #]Y#b,{g'GMq# B.|#K##}#P#9F@O`9G#e#}#=#z0c ; ? 3gFW^~M`k#*0x#8#~##>r#,#@i#(~7#)#]CzzEe #####c @+#}t8#<|{Av=sg]GY? #lx7<##~H, ^{D#4_M'X' .-^HC ? N )l]1\\###.#>#!#1#I#CQWj(#%? RPJ #02 #02 #2 +2 +2 'p2 'p2 '2 /2 /2 ##2 ##2 #2(#2(#2DF"#H#7#yJ###

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