The data is from 80 universities and colleges. While we might assume tuition is higher at private institutions, one might not have any real reason to assume room and board is higher. Perform the...

The data is from 80 universities and colleges.

1. While we might assume tuition is higher at private institutions, one might not have any real reason to assume room and board is higher. Perform the appropriate statistical tests to determine if there is a significant difference in mean room and board costs between private and public institutions and state a clear conclusion in non-statistical language.


2. State your null and alternative hypotheses


3. Calculate or highlight the appropriate test statistic in the output


4. Highlight the p-value or critical value comparison to determine the conclusion of the test


5. Make a clear concluding statement without using the words reject or hypothesis.

Copy and paste the highlighted output

Make a clear conclusion about room and board between private and public schools.

If there is a significant difference in mean R&B costs, then construct the appropriate confidence interval to estimate the difference AND interpret these results in the context of R&B costs.

Extracted text: F-Test Two-Sample for Variances Public R&B Private R&B F-Test Two-Sample for Variances Public Debt Private Debt Mean 4.5500 6.3320 Mean 10.9368 14.4680 Variance 0.7784 0.9888 Variance 18.5054 14.8320 Observations 30 50 Observations 30 50 df 29 49 df 29 49 0.8036 1.1280 P(F<=f) one-tail="" f="" critical="" one-tail="" 0.2674=""><=f) one-tail="" 0.3477="" 0.5626="" f="" critical="" one-tail="">


Extracted text: Type of Term semesters - 1, quarters - 0 urban (1), suburban (2), rural (3) private - 1, public - 0 average combined math and verbal only 1- TOEFL >= 550, 0 - otherwise Location Type of School Average Total SAT TOEFL Score Room and Board Recorded in thousands of dollars Annual Total Cost Recorded in thousands of dollars Average Indebtedness Recorded in thousands of dollars