11) The Fair Isaac Corporation (FICO) credit score is used by banks and other lenders to determine whether someone is a good credit risk. Scores range from 300 to 850, with a score of 720 or more indicating that a person is a very good credit risk. An economist wants to determine whether the mean FICO score is lower than the cutoff of 720. She finds that a random sample of 50 people had a mean FICO score of 707 with a standard deviation of 79. Can the economist conclude that the mean FICO score is less than 720? Use the 0.01 level of significance and the P-value method. (a) State the appropriate null and alternate hypotheses. (b) Compute the value of the test statistic. (c) State a conclusion.

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Chapter1: Starting With Matlab
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11)
The Fair Isaac Corporation (FICO) credit score is used by banks and other lenders to determine
whether someone is a good credit risk. Scores range from 300 to 850, with a score of 720
or more indicating that a person is a very good credit risk. An economist wants to determine
whether the mean FICO score is lower than the cutoff of 720. She finds that a random sample of
50 people had a mean FICO score of 707 with a standard deviation of 79. Can the economist
conclude that the mean FICO score is less than 720? Use the 0.01
level of significance and the P-value method.
(a) State the appropriate null and alternate hypotheses.
(b) Compute the value of the test statistic.
(c) State a conclusion.
Transcribed Image Text:11) The Fair Isaac Corporation (FICO) credit score is used by banks and other lenders to determine whether someone is a good credit risk. Scores range from 300 to 850, with a score of 720 or more indicating that a person is a very good credit risk. An economist wants to determine whether the mean FICO score is lower than the cutoff of 720. She finds that a random sample of 50 people had a mean FICO score of 707 with a standard deviation of 79. Can the economist conclude that the mean FICO score is less than 720? Use the 0.01 level of significance and the P-value method. (a) State the appropriate null and alternate hypotheses. (b) Compute the value of the test statistic. (c) State a conclusion.
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