A study was done to compare the average repair cost of BMW’s and Toyotas involved in auto accidents. 25 incidents were randomly selected for each brand. BMW repair costs averaged $4,598 with a standard deviation of $1,824. Toyota repair costs averaged $4,023 with a standard deviation of $2,056. Use this information to answer the following questions and test the claim that the average repair cost for BMW’s is the same as it is for Toyotas. Use alpha=0.02.The left critical value = [left] (round to 2 decimals – if there is no left value, enter “na”)The right critical value = [right] (round to 2 decimals – if there is no right value, enter “na”)The test statistic = [ts] (round to 2 decimals)The result of the hypothesis test is [result] (enter “reject H0” or “fail to reject H0”)Is the claim supported? [support] (enter “yes” or “no”)

To test the volatility of two stocks (ABC Company and XYZ Company), a researcher collects data on stock prices for each company over the last 30 days. Data shows the variance (s^2) in stock price for ABC is $39.18, and for XYZ Company the variance is $19.34. Use this information to test the claim that the variance in ABC is the same as the variance in XYZ stock. Assume an alpha of 0.02.(Hint: make sure you designate the sample with the larger variance as sample1 and the other as sample2 in your calculations. Also, we are always only interested in the right F critical value)What is the right F critical value? [Fcv] (round to 2 decimals)What is the value of the F test statistic? [Fts] (round to 2 decimals)What is the result of the hypothesis test? [result] (enter “reject H0” or “fail to reject H0”)Is the hypothesis supported? [support] (enter “yes” or “no”)

The lifetime prevalence of APD in the prison system is less than that of the general population. 

The following data shows the results from trying to teach various tricks/commands (i.e., Sit, Shake, Roll Over) to young dogs (i.e., “Puppy”) and older dogs (i.e., “Old Dog”). The numbers represent how much training it takes (i.e., how many times the command must be repeated) before the dog is able to do the trick on command. Perform the appropriate ANOVA and answer the following questions.Does the analysis consider a possible interaction between the factors (i.e., the age of the dog and the type of trick) that needs to be examined? [inter] (enter yes or no)If so, what is the p-value associated with the interaction? [pint] (round to 3 decimals)Is the interaction statistically significant at alpha=0.05? [intsig] (enter yes or no)What is the is the p-value for the difference between puppies and old dogs in the average training required to learn a trick? [pcorn] (round to 3 decimals)At an alpha of 0.05, can we say the difference between puppies and older dogs is meaningful and significant? [sigage] (enter yes, no, or na if the question cannot be answered)What is the p-value for the difference between the type of tricks? [pplot] (round to 3 decimals)At an alpha of 0.05, can we say the difference in the average required training between the various tricks is meaningful and significant? [sigtrick] (enter yes, no, or na if the question cannot be answered) RollOver Shake Sit Puppy 2 4 6 Puppy 1 5 9 Puppy 3 4 7 Puppy 1 6 8 Puppy 2 7 10 Old Dog 2 9 13 Old Dog 5 10 12 Old Dog 2 11 15 Old Dog 4 13 17 Old Dog 3 7 13

Tests of the flammability of children’s sleepwear were conducted independently by three different labs. Results are shown in the table below. Perform an ANOVA and answer the following questions.What is the average flammability rating reported by Lab#2? [avglab2] (round to 2 decimals)What is the variance in flammability rating for Lab#1? [varlab1] (round to 2 decimals)What is the p-value for this ANOVA? [pval] (note: round to 3 decimals)At an alpha of 0.05, is there a significant difference in the mean of flammability between the labs? [sig] (enter yes or no) Lab#1 Lab#2 Lab#3 2.5 4.3 3.0 3.0 3.4 3.2 2.9 4.1 2.4 3.0 3.4 3.3 2.8 3.7 2.2 2.6 4.1 2.6 2.6 3.5 1.9 2.6 3.9   3.7 3.4   3.3    

A thorough psychiatric examination is the most widely used technique to obtain information about the client, and it should be the first step of treatment. 

A weight loss product claims that, after a week of using their product, a person’s weight will go down by more 6 pounds. To test this claim, 7 people are randomly selected who use the weight loss product for a week. Before and after weights are  shown in the table below. Use this data to answer the following questions and to test the claim. Assume alpha=0.03. Before 195 234 276 310 179 263 205 After 188 227 270 298 173 256 199 What is the mean of the difference in weight (d-bar)? [dbar] (round to 1 decimal)What is the standard deviation of the difference in weight (s-d)? [sd] (round to 2 decimals)What is the left critical value? [cvL] (round to 2 decimals – enter “na” if there is none)What is the right critical value? [cvR] (round to 2 decimals – enter “na” if there is none)What is the value of the test statistic? [ts] (round to 2 decimals)What is the result of the hypothesis test? [result] (enter “reject H0” or “fail to reject H0”)Is the claim supported? [support] (enter “yes” or “no”)

In a study of online vs. in-person statistics courses, a researcher wishes to test the claim that the average student grade in online stats courses is higher than than average student grade in in-person stats courses. To test this claim 60 online student’s grades are randomly selected, with an average of 86.8 and a standard deviation of 5.25. In addition, 70 in-person student’s grades are randomly selected, with an average of 85.0 and a standard deviation of 6.37. Based on this data, and using an alpha=0.05, answer the following questions.The left critical value = [left] (round to 2 decimals – if there is no left value, enter “na”)The right critical value = [right] (round to 2 decimals – if there is no right value, enter “na”)The test statistic = [ts] (round to 2 decimals)The result of the hypothesis test is [result] (enter “reject H0” or “fail to reject H0”)Is the claim supported? [support] (enter “yes” or “no”)

In a comparison of customer satisfaction, a researcher collects data showing that for Company A, among 200 randomly selected customers 95.0% were satisfied. For Company B, among 300 randomly selected customers 88.0% were satisfied. Assuming alpha=0.01, answer the following questions as you test the claim that Company A has a higher proportion of satisfied customers than does Company B.The value of p-bar (pooled p) = [pbar] (round to 3 decimals)The left critical value = [left] (round to 2 decimals – if there is no left value, enter “na”)The right critical value = [right] (round to 2 decimals – if there is no right value, enter “na”)The test statistic = [ts] (round to 2 decimals)Is the claim supported? [support] (enter “yes” or “no”)

Using the data shown in the table below, answer the following questions.What is the correlation between X1 and Y? [corX1Y] (round to 2 decimals)What is the correlation betwen X2 and Y? [corX2Y] (round to 2 decimals)What is the correlation betwen X1 and X2? [corX1X2] (round to 2 decimals)How much of the variation in Y is explained by a regression model that uses only X1 to predict Y? [r2X1] (round to 2 decimals)How much of the variation in Y is explained by a regression model that uses only X2 to predict Y? [r2X2] (round to 2 decimals)How much of the variation in Y is explained by a regression model that uses both X1 and X2 to predict Y (hint: R-squared)? [r2X1X2] (round to 2 decimals)How much of the variation in Y is explained by a regression model that uses both X1 and X2 to predict Y, taking into account the correlation between X1 and X2 (hint: Adjusted R-squared)? [adjr2X1X2] (round to 2 decimals)At what level is the multiple regression statistically significant (i.e.,Sig.F)? [sig] (round to 2 decimals)In the multiple regression model, what is the coefficient of X1 in the regression equation? [X1cof] (round to 2 decimals)In the multiple regression model, what is the coefficient of X2 in the regression equation? [X2cof] (round to 2 decimals)What is the intercept in multiple regression equation? [int] (round to 2 decimals)Given X1=100 and X2=100, what would be the predicted value of Y? [esty] (round to just 1 decimal) Y X1 X2 106.5 125.1 110.2 104.2 109.6 107.4 103.1 103.3 103.3 99.2 95.3 101.2 98.3 104.1 100.1 98.1 102.5 96.6 95.9 89.5 93.2 96.2 83.5 101.9 96.1 75.8 98.6 99.2 73.6 98.1 98.7 87.8 102.8 100.5 95.5 101.6 100.3 106.7 102.3 100.2 102.1 106.7 101.2 99.4 104.7 99.9 98.7 106.1 101.3 97.4 103.2 97.5 95.6 109.3 95.8 96.5 109.2 95.1 86.3 107.4