i). Write the null and alternative hypotheses. ii). Give the value of the F statistic and the p-value using a calculator. iii) State a conclusion

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4) A magazine listed the top 100 public colleges based on many factors. From the list, here is the average
debt at graduation for various schools in four selected states. Perform a one-way ANOVA to decide
whether it can be concluded at a = 0.05 that there is a difference in average debt by state?
New York
15,774
14,000
13,387
15,007
14,441
Virginia
16,944
13,768
13,510
17,898
18,152
California
15,061
14,039
13,184
15,295
14,961
i). Write the null and alternative hypotheses.
iii). State a conclusion.
Pennsylvania
17,689
16,687
16,632
16,300
18,798
ii). Give the value of the F statistic and the p-value using a calculator.
Transcribed Image Text:4) A magazine listed the top 100 public colleges based on many factors. From the list, here is the average debt at graduation for various schools in four selected states. Perform a one-way ANOVA to decide whether it can be concluded at a = 0.05 that there is a difference in average debt by state? New York 15,774 14,000 13,387 15,007 14,441 Virginia 16,944 13,768 13,510 17,898 18,152 California 15,061 14,039 13,184 15,295 14,961 i). Write the null and alternative hypotheses. iii). State a conclusion. Pennsylvania 17,689 16,687 16,632 16,300 18,798 ii). Give the value of the F statistic and the p-value using a calculator.
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