Test 4 Question 5

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Test 4 Question 5

Question

Test 4 

5.  A credit score is used by credit agencies​ (such as mortgage companies and​ banks) to assess the creditworthiness of individuals. Values range from 300 to​ 850, with a credit score over 700 considered to be a quality credit risk. According to a​ survey, the mean credit score is 701.2.

A credit analyst wondered whether​ high-income individuals​ (incomes in excess of​ $100,000 per​ year) had higher credit scores. He obtained a random sample of 35 ​high-income individuals and found the sample mean credit score to be 711.5 with a standard deviation of 83.1.

Conduct the appropriate test to determine if​ high-income individuals have higher credit scores at the á=0.05 level of significance.

 

State the null and alternative hypotheses.
 
:

equals
 

701.2

:

greater than
 

701.2

Identify the​ t-statistic.

Identify the​ P-value.

 

Make a conclusion regarding the hypothesis.

________ the null hypothesis.  There _______ 

sufficient evidence to claim that the mean credit score of​ high-income individuals is greater than ____

 

 

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This question is taken from Math 136 – Introduction to Statistics » Summer 2021 » Test 4