Good credit: 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 more than the cutoff of 720. She finds that a random sample of 75 people had a mean FICO score of 725 with a standard deviation of 95. Can the economist conclude that the mean FICO score is greater than 720? Use the =α0.01 level of significance and the P-value method and Excel.Part 1 of 5 (a)State the appropriate null and alternate hypotheses. H0: =μ720H1: >μ720This hypothesis test is a ▼right-tailed test. Part: 1 / 51 of 5 Parts Complete Part 2 of 5 (b)Compute the value of the test statistic. Round the answer to at least three decimal places. =t

Given thatb)df =n-1 = 75-1 = 74p value = 0.3249, from the excel function, =T.DIST.RT(0.4558,74)Decision Rule:p-value ≤ α, then reject the null hypothesisConclusion:The level of significance is α=0.05Here, the p-value is greater than the level of significance.From the decision rule, failed to reject the null hypothesis.The economist does not conclude that the mean FICO score is greater than 720.a)b)t=0.4558p = 0.3249The economist does not conclude that the mean FICO score is greater than 720.

Answered: Good credit: The Fair Isaac Corporation…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Good credit: 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

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 more than the cutoff of

720

. She finds that a random sample of

people had a mean FICO score of

725

with a standard deviation of

. Can the economist conclude that the mean FICO score is greater than

720

? Use the

=α0.01

level of significance and the

-value method and Excel.

Part 1 of 5

(a)State the appropriate null and alternate hypotheses.

=μ720

>μ720

This hypothesis test is a ▼right-tailed test.

Part: 1 / 5

1 of 5 Parts Complete

Part 2 of 5

(b)Compute the value of the test statistic. Round the answer to at least three decimal places.

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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