A recent study of debt among college graduates reported that the average debt accumulated by graduates of private colleges was$38,200, with a sample standard deviation of$2,054, while the average debt accumulated by graduates of public colleges was$11,700, with a sample standard deviation of$2,075.The sample sizes were70and180, respectively. Complete parts a and b below.Images show the rest A recent study of debt among college graduates reported that the average debt accumulated by graduates of private collegeswas $38,200, with a sample standard deviation of $2,054, while the average debt accumulated by graduates of public collegeswas $11,700, with a sample standard deviation of $2,075. The sample sizes were 70 and 180, respectively. Complete parts aand b below.Conduct a hypothesis test to determine if the average college debt for bachelor of arts degree recipients is at least $21,000more for graduates from private colleges than from public colleges. Use a significance level of a = 0.025.a. Let x, = $38,200 and x, = $11,700. State the null and alternative hypotheses.O B. Ho: H1 - H2s $21,000HA: 41-H2 > $21,000O A. Ho: H1 -H2 > $21,000HA: H1- H2s $21,000O C. Ho: H1-H2 < $21,000HA: H1- H22 $21,000O D. Ho: H1-H2 = $21,000HA: H1- H2# $21,000O E. Ho: H1-H2 2 $21,000HA: 41- H2< $21,000O F. Ho: H1- H2# $21,000HA: H1-H2 = $21,000b. Calculate the test statistic.The test statistic is.(Round to two decimal places as needed.)c. Calculate the p-value.The p-value is d. State the conclusion for this hypothesis test.O A. Do not reject Ho. There is sufficient evidence at the a= 0.025 level of significance to conclude that graduates ofprivate colleges have at least $21,000 more in college-related debt.B. Reject Ho. There is not sufficient evidence at the a = 0.025 level of significance to conclude that graduates of privatecolleges have at least $21,000 more in college-related debt.OC. Reject Ho- There is sufficient evidence at the a = 0.025 level of significance to conclude that graduates of privatecolleges have at least $21,000 more in college-related debt.D. Do not reject Ho. There is not sufficient evidence at the a = 0.025 level of significance to conclude that graduates ofprivate colleges have at least $21,000 more in college-related debt.

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MATLAB: An Introduction with Applications

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A recent study of debt among college graduates reported that the average debt accumulated by graduates of private colleges was$38,200, with a sample standard deviation of$2,054, while the average debt accumulated by graduates of public colleges was$11,700, with a sample standard deviation of$2,075.The sample sizes were70and180, respectively. Complete parts a and b below.

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d. State the conclusion for this hypothesis test.
O A. Do not reject Ho. There is sufficient evidence at the a= 0.025 level of significance to conclude that graduates of
private colleges have at least $21,000 more in college-related debt.
B. Reject Ho. There is not sufficient evidence at the a = 0.025 level of significance to conclude that graduates of private
colleges have at least $21,000 more in college-related debt.
OC. Reject Ho- There is sufficient evidence at the a = 0.025 level of significance to conclude that graduates of private
colleges have at least $21,000 more in college-related debt.
D. Do not reject Ho. There is not sufficient evidence at the a = 0.025 level of significance to conclude that graduates of
private colleges have at least $21,000 more in college-related debt.

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