This essay focuses on interest rates for 48-month fixed-rate auto loans and 48-month variable-rate auto loans.  However,  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

interest rates for 48-month fixed-rate auto loans and 48-month variable-rate auto loans.

·      Identify the test you will apply to test the hypothesis.Further,  Justify your choice. interest rates for 48-month fixed-rate auto loans and 48-month variable-rate auto loans.
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 in  selection.

Moreover,  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:

3.59%, 2.75%, 2.99%, 2.50%, 3.00%

Test statistic and the corresponding p value s are listed below:
Test Statistic

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.

A hypothesis (plural hypotheses) is a proposal  explanation for a phenomenon. For a hypothesis to be a scientific hypothesis, the scientific method requires that one can test it. Scientists generally base scientific hypotheses on previous observations that cannot satisfactorily be in explanation  with the available scientific theories. Even though the words “hypothesis” and “theory” are often used synonymously, a scientific hypothesis is not the same as a scientific theory. A working hypothesis is a provisionally accepted hypothesis proposed for further research,^[1] in a process beginning with an educated guess or thought.^[2]

A different meaning of the term hypothesis is in use in formal logic, to denote the antecedent of a proposition; thus in the proposition “If P, then Q“, P denotes the hypothesis (or antecedent); Q can be called a consequent. P is the assumption in a (possibly counterfactual) What If question.

The adjective hypothetical, meaning “having the nature of a hypothesis”

, or “being assumption to exist as an immediate consequence of a hypothesis”, can refer to any of these meanings of the term “hypothesis”.