A random sample of enrollments from public institutions of higher learning (with

Question

A random sample of enrollments from public institutions of higher learning (with enrollments under 10,000) is shown below.

West    Midwest    Northeast    South
3737    5585          9264            3903
3706    8205          4673            4539
2457    4170          7320            2649
4309    5440          5401            6414
4103    3355          6050            2935
5048    4412          4087            7147
2463    5115          1579            3354
                           8739            8669
                                             2431

At a=0.10, test the claim that the mean enrollments are the same in all parts of the country.

If the null hypothesis is rejected, use the Scheffe test to test the differences between the means. Assume that the variables are normally distributed, that the samples are independent, and that the population variances are equal.

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