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 706.3. 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 45 high-inco individuals and found the sample mean credit score to be 725.6 with a standard deviation of 81.6. Conduct the appropriate test to determine if high-income individuals have higher credit scores at the a= 0.05 level of significance. State the null and alternative hypotheses. Hoi H₁: H

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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 706.3. 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 45 high-income individuals and found the sample mean credit score to be 725.6 with a standard deviation of 81.6. Conduct the appropriate test to determine if high-income individuals have higher credit scores at the α = 0.05 level of significance.

State the null and alternative hypotheses.

H₀: μ [≤] [706.3]
H₁: μ [>] [706.3]

(Type integers or decimals. Do not round.)
Transcribed Image Text: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 706.3. 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 45 high-income individuals and found the sample mean credit score to be 725.6 with a standard deviation of 81.6. Conduct the appropriate test to determine if high-income individuals have higher credit scores at the α = 0.05 level of significance. State the null and alternative hypotheses. H₀: μ [≤] [706.3] H₁: μ [>] [706.3] (Type integers or decimals. Do not round.)
Expert Solution
Step 1: Write the given information:

Given,

x with bar on top equals 725.6
s equals 81.6
n equals 45
mu equals 706.3


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