Reference no: EM132303054
DOCTORAL STATISTICS ASSIGNMENT -
Hypothesis Testing - A loan officer wants to compare the interest rates for 48-month fixed-rate auto loans and 48-month variable-rate auto loans.
Two independent, random samples of auto loans are selected. A sample of eight 48-month fixed-rate auto-loans have the following loan rates: 4.29%, 3.75%, 3.50%, 3.99%, 3.75%, 3.99%, 5.40%, 4.00% while a sample of five 48-month variable-rate auto loans have the loan rates as follows: Test statistic and the corresponding p value s are listed below:
Test Statistics
|
P Value
|
3.7431
|
0.0032
|
Tasks:
Set up the null and alternative hypotheses needed to determine whether the mean rates for 48-month fixed-rate and variable-rate auto loans differ.
Identify the test you will apply to test the hypothesis. Justify your choice.
Choose an appropriate level of significance.
Define type I and type II errors in the context of your hypotheses.
State your decision regarding the hypothesis.
State the conclusion.
Submission Details: Submit a Microsoft Word document that contains your responses to assignment questions, using APA style.