scores. He obtained a random sample of 31 high-income individuals and found the sample mean credit score to be 722.3 with a standard deviation of 81.1. 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. Ho H 709.3 H₁ H709.3 (Type integers or decimals Do not round.) Identify the t-statistic to 89 (Round to two decimal places as needed.) Identify the P-value. P-value = 190 (Round to three decimal places as needed) Make a conclusion regarding the hypothesis the null hypothesis There -- 4 sufficient evidence to claim that the mean credit score of high-income individuals is

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 4BGP
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Make a conclusion regarding the hypothesis .

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 709.3. 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 31 high-income individuals and found the sample mean credit score to be 722.3 with a standard deviation of 81.1. 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.
Ho H
H₁ μ > 709.3
(Type integers or decimals. Do not round.)
Identify the t-statistic
to = 89 (Round to two decimal places as needed.)
Identify the P-value.
P-value = 190 (Round to three decimal places as needed)
Make a conclusion regarding the hypothesis.
= = 709.3
247 273
the null hypothesis. There
2012
1251120
2012
124
ہے
sufficient evidence to claim that the mean credit score of high-income individuals is
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 709.3. 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 31 high-income individuals and found the sample mean credit score to be 722.3 with a standard deviation of 81.1. 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. Ho H H₁ μ > 709.3 (Type integers or decimals. Do not round.) Identify the t-statistic to = 89 (Round to two decimal places as needed.) Identify the P-value. P-value = 190 (Round to three decimal places as needed) Make a conclusion regarding the hypothesis. = = 709.3 247 273 the null hypothesis. There 2012 1251120 2012 124 ہے sufficient evidence to claim that the mean credit score of high-income individuals is
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