ome defendants in criminal proceedings plead guilty and are sentenced without a trial
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Question 1 of 17  1.0 Points 
Some defendants in criminal proceedings plead guilty and are sentenced without a trial, whereas others who plead innocent are subsequently found guilty and then are sentenced. In recent years, legal scholars have speculated as to whether sentences of those who plead guilty differ in severity from sentences for those who plead innocent and are subsequently judged guilty. Consider the data given below on defendants accused of robbery, all of whom, by the way, had previous prison records. At the .01 level of significance, do these data suggest that the proportion of all defendants in these circumstances who plead guilty and are sent to prison differs from the proportion who are sent to prison after pleading innocent and being found guilty?
 Plea  
 Guilty  Not Guilty 
Number judged guilty  n_{1} = 191  n_{2} = 64 
Number sentenced to prison  x_{1} = 101  x_{2} = 56 
Sample proportion  .529  .875 

A.No, because the test value 1.96 is inside the interval (2.58, 2.58) 

B.Yes, because the test value 2.58 is inside the interval (4.94, 4.94) 

C.Yes, because the test value 4.94 is outside the interval (2.58, 2.58) 

D.No, because the test value 4.94 is outside the interval (1.96, 1.96) 

Question 2 of 17  1.0 Points 
Multiple myeloma or blood plasma cancer is characterized by increased blood vessel formulation in the bone marrow that is a prognostic factor in survival. One treatment approach used for multiple myeloma is stem cell transplantation with the patient’s own stem cells. The following data represent the bone marrow microvessel density for a sample of 7 patients who had a complete response to a stem cell transplant as measured by blood and urine tests. Two measurements were taken: the first immediately prior to the stem cell transplant, and the second at the time of the complete response.
Patient  1  2  3  4  5  6  7 
Before  158  189  202  353  416  426  441 
After  284  214  101  227  290  176  290 
Perform an appropriate test of hypothesis to determine if there is evidence, at the .05 level of significance, to support the claim that the mean bone marrow microvessel density is higher before the stem cell transplant than after the stem cell transplant? What is the value of the sample test statistic?

A.p = 2.7234 

B.z = 1.8424 

C.t = 2.7234 

D.t = 1.8424 

Question 3 of 17  1.0 Points 
A researcher hypothesizes that the variation in the amount of money spent on business dinners is greater than the variation of the amount of money spent on lunches. The variance of nine business dinners was $6.12 and the variance of 12 business lunches was $0.87. What is the test value?

A.9.61 

B.7.03 

C.3.10 

D.49.50 

Part 2 of 8  
The marketing manager of a large supermarket chain would like to use shelf space to predict the sales of pet food. For a random sample of 12 similar stores, she gathered the following information regarding the shelf space, in feet, devoted to pet food and the weekly sales in hundreds of dollars. .
 
In a simple linear regression analysis, the following sum of squares are produced:
 
The city of Oakdale wishes to see if there is a linear relationship between the temperature and the amount of electricity used (in kilowatts). Based on the data in the table below, is there a significant linear relationship between temperature and the amount of electricity used? These data are also available in the worksheet temperature in the Excel workbook Temperature.xlsx.
 
In a simple linear regression analysis, the following sum of squares are produced:
 
A single variable X can explain a large percentage of the variation in some other variable Y when the two variables are:

Part 3 of 8  
Accepted characters: numbers, decimal point markers (period or comma), sign indicators (), spaces (e.g., as thousands separator, 5 000), "E" or "e" (used in scientific notation). NOTE: For scientific notation, a period MUST be used as the decimal point marker.

Part 4 of 8  
Accepted characters: numbers, decimal point markers (period or comma), sign indicators (), spaces (e.g., as thousands separator, 5 000), "E" or "e" (used in scientific notation). NOTE: For scientific notation, a period MUST be used as the decimal point marker. The marketing manager of a large supermarket chain would like to determine the effect of shelf space (in feet) on the weekly sales of international food (in hundreds of dollars). A random sample of 12 equal –sized stores is selected, with the following results:
 
Accepted characters: numbers, decimal point markers (period or comma), sign indicators (), spaces (e.g., as thousands separator, 5 000), "E" or "e" (used in scientific notation). NOTE: For scientific notation, a period MUST be used as the decimal point marker. 
Part 5 of 8  
Accepted characters: numbers, decimal point markers (period or comma), sign indicators (), spaces (e.g., as thousands separator, 5 000), "E" or "e" (used in scientific notation). NOTE: For scientific notation, a period MUST be used as the decimal point marker.
Do these data indicate that the population mean percentage increase in corporate revenue is greater than the population mean percentage increase in CEO salary? Use a 5% level of significance. What is the pvalue associated with this test of hypothesis? Place your answer, rounded to 3 decimal places, in the blank. For example, 0.134 would be a legitimate entry.  
Accepted characters: numbers, decimal point markers (period or comma), sign indicators (), spaces (e.g., as thousands separator, 5 000), "E" or "e" (used in scientific notation). NOTE: For scientific notation, a period MUST be used as the decimal point marker.

Part 6 of 8  
Accepted characters: numbers, decimal point markers (period or comma), sign indicators (), spaces (e.g., as thousands separator, 5 000), "E" or "e" (used in scientific notation). NOTE: For scientific notation, a period MUST be used as the decimal point marker.
What is the Pvalue for this hypothesis test? Answer: Round your answer to three decimal places.

Part 7 of 8  
When testing the equality of two population variances, the test statistic is the ratio of the population variances; namely .

Part 8 of 8  
In a simple linear regression problem, the least squares line is y' = 3.2 + 1.3X, and the coefficient of determination is 0.7225. The coefficient of correlation must be –0.85.
 
If there is no linear relationship between two variables X and Y, the coefficient of determination, R^{2}, must be 1.0.

 9 years ago
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