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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 706.9. 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 32 ?high-income individuals and found the sample mean credit score to be 721.7 with a standard deviation of 84.9. 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 = 706.9
H1?: μ > 706.9
?(Type integers or decimals. Do not? round.)
Identify the? t-statistic.
t0 =_____
(Round to two decimal places as? needed.)
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