A dataset from 1987 contains information about credit card applications and approvals for 690 applicants. We are interested in looking at the amount of debt across industries, specifically between information technology, healthcare, real estate, and education. The following values are scaled down for ease of analysis. From the sample, 45 are in information technology with an average of $4.03 dollars in debt and a standard deviation of $3.88. 52 are in the healthcare industry with an average of $5.84 dollars in debt and a standard deviation of $6.58. 30 are in real estate with an average of $4.79 dollars in debt and a standard deviation of $5.43. 30 are in education with an average of $8.21 dollars in debt and a standard deviation of $6.25. Fill in the hypotheses below: Ho: All the means are equal. Ha: At least one mean is different from the others. Part 2 of 3 Complete the following ANOVA summary table (a = 0.01). Round your answers to three decimal places, if necessary, and round any interim calculations to four decimal places. What is the overall mean? Use this as a check before you begin your calculations. Source Between Within Total SS df MS F P-value

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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Chapter10: Statistics
Section10.6: Summarizing Categorical Data
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A dataset from 1987 contains information about credit card applications and approvals for 690 applicants.
We are interested in looking at the amount of debt across industries, specifically between information
technology, healthcare, real estate, and education. The following values are scaled down for ease of
analysis.
From the sample, 45 are in information technology with an average of $4.03 dollars in debt and a standard
deviation of $3.88.
52 are in the healthcare industry with an average of $5.84 dollars in debt and a standard deviation of
$6.58.
30 are in real estate with an average of $4.79 dollars in debt and a standard deviation of $5.43.
30 are in education with an average of $8.21 dollars in debt and a standard deviation of $6.25.
Fill in the hypotheses below:
Ho: All the means are equal.
Ha: At least one mean is different from the others. ✓
Part 2 of 3
Complete the following ANOVA summary table (a = 0.01). Round your answers to three decimal places, if
necessary, and round any interim calculations to four decimal places.
What is the overall mean? Use this as a check before you begin your calculations.
Source
Between
Within
Total
SS
df
MS
F
P-value
Transcribed Image Text:A dataset from 1987 contains information about credit card applications and approvals for 690 applicants. We are interested in looking at the amount of debt across industries, specifically between information technology, healthcare, real estate, and education. The following values are scaled down for ease of analysis. From the sample, 45 are in information technology with an average of $4.03 dollars in debt and a standard deviation of $3.88. 52 are in the healthcare industry with an average of $5.84 dollars in debt and a standard deviation of $6.58. 30 are in real estate with an average of $4.79 dollars in debt and a standard deviation of $5.43. 30 are in education with an average of $8.21 dollars in debt and a standard deviation of $6.25. Fill in the hypotheses below: Ho: All the means are equal. Ha: At least one mean is different from the others. ✓ Part 2 of 3 Complete the following ANOVA summary table (a = 0.01). Round your answers to three decimal places, if necessary, and round any interim calculations to four decimal places. What is the overall mean? Use this as a check before you begin your calculations. Source Between Within Total SS df MS F P-value
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